ব্যবহারকারী:Aashaa/সংখ্যার তালিকা
এই তালিকাটি গণণার সংখ্যা নিয়ে।
মূলদ সংখ্যা[সম্পাদনা]
Natural numbers[সম্পাদনা]
(Notice: In set theory and computer science, 0 is a natural number)
Powers of ten (scientific notation)[সম্পাদনা]
Integers[সম্পাদনা]
Notable integers[সম্পাদনা]
Other numbers that are notable for their mathematical properties or cultural meanings include:
- −40, the equal point in the Fahrenheit and Celsius scales.
- −1, the additive inverse of unity.
- 2, the base of the binary number system, used in almost all modern computers and information systems. Also notable as the only even prime number.
- 3, associated with the Christian Trinity; also appears frequently in the Bible.
- 6, the first of the series of perfect numbers, whose proper factors sum to the number itself.
- 7, considered a "lucky" number in Western cultures; also appears frequently in the Bible.
- 8, considered a "lucky" number in Chinese culture.
- 10, the number base for most modern counting systems.
- 12, the number base for some ancient counting systems and the basis for some modern measuring systems.
- 13, considered an "unlucky" number in Western superstition.
- 42, the "answer to life, the universe and everything" in the popular science fiction work The Hitchhiker's Guide to the Galaxy.
- 60, the number base for some ancient counting systems, such as the Babylonian's, and the basis for many modern measuring systems.
- 255, 28−1, a Mersenne number and the smallest perfect totient number that is neither a power of three nor thrice a prime; it is also the largest number that can be represented using an 8-bit unsigned integer.
- 496, a perfect number.
- 666, commonly known as the number of the beast.
- 786, regarded as sacred in the Muslim Abjad numerology.
- 1729, a taxicab number; the smallest positive integer that can be written as the sum of two positive cubes in two different ways; also known as the Hardy-Ramanujan number.[১]
- 65535, 216-1, the maximum value of a 16-bit unsigned integer.
- 142857, the smallest base 10 cyclic number.
- 2147483647, 231−1, the maximum value of a 32-bit signed integer using two's complement representation.
- 9814072356, the largest perfect power that contains no repeated digits in base ten.
- 9223372036854775807, 263−1, the maximum value of a 64-bit signed integer using two's complement representation.
Named integers[সম্পাদনা]
- Googol (10100) and googolplex (1010100)
- Graham's number
- Moser's number
- Shannon number
- Hardy–Ramanujan number (1,729)
- Skewes' number
- Number of the Beast (666)
- Kaprekar's constant (6,174)
Prime numbers[সম্পাদনা]
A prime number is a positive integer which has exactly two divisors: one and itself.
The first 100 prime numbers are:
2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 |
31 | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 |
73 | 79 | 83 | 89 | 97 | 101 | 103 | 107 | 109 | 113 |
127 | 131 | 137 | 139 | 149 | 151 | 157 | 163 | 167 | 173 |
179 | 181 | 191 | 193 | 197 | 199 | 211 | 223 | 227 | 229 |
233 | 239 | 241 | 251 | 257 | 263 | 269 | 271 | 277 | 281 |
283 | 293 | 307 | 311 | 313 | 317 | 331 | 337 | 347 | 349 |
353 | 359 | 367 | 373 | 379 | 383 | 389 | 397 | 401 | 409 |
419 | 421 | 431 | 433 | 439 | 443 | 449 | 457 | 461 | 463 |
467 | 479 | 487 | 491 | 499 | 503 | 509 | 521 | 523 | 541 |
Highly composite numbers[সম্পাদনা]
A highly composite number (HCN) is a positive integer with more divisors than any smaller positive integer. They are often used in geometry, grouping and time measurement.
The first 20 highly composite numbers (the seven values with more divisors than any lesser number than twice itself are in bold):
1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040, 7560
Perfect numbers[সম্পাদনা]
A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself).
The first 10 perfect numbers:
1 | 6 |
---|---|
2 | 28 |
3 | 496 |
4 | 8 128 |
5 | 33 550 336 |
6 | 8 589 869 056 |
7 | 137 438 691 328 |
8 | 2 305 843 008 139 952 128 |
9 | 2 658 455 991 569 831 744 654 692 615 953 842 176 |
10 | 191 561 942 608 236 107 294 793 378 084 303 638 130 997 321 548 169 216 |
Cardinal numbers[সম্পাদনা]
In the following tables, [and] indicates that the word and is used in some dialects (such as British English), and omitted in other dialects (such as American English).
Small numbers[সম্পাদনা]
This table demonstrates the standard English construction of small cardinal numbers up to one hundred million—names for which all variants of English agree.
Value | Name | Alternate names, and names for sets of the given size |
---|---|---|
0 | Zero | aught, cipher, cypher, donut, goose egg, love, nada, naught, nil, none, nought, nowt, null, ought, oh, squat, zed, zilch, zip |
1 | One | ace, individual, single, singleton, unary, unit, unity |
2 | Two | binary, brace, couple, couplet, distich, deuce, double, doubleton, duad, duality, duet, duo, dyad, pair, span, twain, twin, twosome, yoke |
3 | Three | deuce-ace, leash, set, tercet, ternary, ternion, terzetto, threesome, tierce, trey, triad, trine, trinity, trio, triplet, troika, hat-trick |
4 | Four | foursome, quadruplet, quatern, quaternary, quaternity, quartet, tetrad |
5 | Five | cinque, fin, fivesome, pentad, quint, quintet, quintuplet |
6 | Six | half dozen, hexad, sestet, sextet, sextuplet, sise |
7 | Seven | heptad, septet, septuple |
8 | Eight | octad, octave, octet, octonary, octuplet, ogdoad |
9 | Nine | ennead |
10 | Ten | deca, decade |
11 | Eleven | onze, ounze, ounce |
12 | Twelve | dozen |
13 | Thirteen | baker's dozen, long dozen[২] |
14 | Fourteen | |
15 | Fifteen | |
16 | Sixteen | |
17 | Seventeen | |
18 | Eighteen | |
19 | Nineteen | |
20 | Twenty | score |
21 | Twenty-one | long score[২] |
22 | Twenty-two | Deuce-deuce |
23 | Twenty-three | |
24 | Twenty-four | two dozen |
25 | Twenty-five | |
26 | Twenty-six | |
27 | Twenty-seven | |
28 | Twenty-eight | |
29 | Twenty-nine | |
30 | Thirty | |
31 | Thirty-one | |
40 | Forty | two-score |
50 | Fifty | half-century |
60 | Sixty | three-score |
70 | Seventy | three-score and ten |
80 | Eighty | four-score |
87 | Eighty-seven | four-score and seven |
90 | Ninety | |
100 | One hundred | centred, century, ton, short hundred |
101 | One hundred [and] one | |
110 | One hundred [and] ten | |
111 | One hundred [and] eleven | |
120 | One hundred [and] twenty | long hundred,[২] great hundred, (obsolete) hundred |
121 | One hundred [and] twenty-one | |
144 | One hundred [and] forty-four | gross, dozen dozen, small gross |
169 | One hundred [and] sixty-nine | baker's gross[তথ্যসূত্র প্রয়োজন] |
200 | Two hundred | |
300 | Three hundred | |
400 | Four hundred | |
500 | Five hundred | |
600 | Six hundred | |
666 | Six hundred [and] sixty-six | Number of the Beast |
700 | Seven hundred | |
777 | Seven hundred [and] seventy-seven | Number of Luck |
800 | Eight hundred | |
900 | Nine hundred | |
1 000 | One thousand | chiliad, grand, G, thou, yard, kilo, k, millennium |
1 001 | One thousand [and] one | |
1 010 | One thousand [and] ten | |
1 011 | One thousand [and] eleven | |
1 024 | One thousand [and] twenty-four | kibi or kilo in computing, see binary prefix (kilo is shortened to K, Kibi to Ki) |
1 100 | One thousand one hundred | Eleven hundred |
1 101 | One thousand one hundred [and] one | |
1 728 | One thousand seven hundred [and] twenty-eight | great gross, long gross, dozen gross |
2 000 | Two thousand | |
3 000 | Three thousand | |
10 000 | Ten thousand | myriad, wan (China) |
100 000 | One hundred thousand | lakh |
500 000 | Five hundred thousand | crore (Iranian) |
1 000 000 | One million | Mega, meg, mil, (often shortened to M) |
1 048 576 | One million forty-eight thousand five hundred [and] seventy-six | Mibi or Mega in computing, see binary prefix (Mega is shortened to M, Mibi to Mi) |
10 000 000 | Ten million | crore (Indian) |
100 000 000 | One hundred million | yi (China) |
English names for powers of 10[সম্পাদনা]
This table compares the English names of cardinal numbers according to various American, British, and Continental European conventions. See English numerals or names of large numbers for more information on naming numbers.
Short scale | Long scale | Power | |||
---|---|---|---|---|---|
Value | American | British (Nicolas Chuquet) |
Continental European (Jacques Peletier du Mans) |
of a thousand | of a million |
100 | One | 1000−1+1 | 10000000 | ||
101 | Ten | ||||
102 | Hundred | ||||
103 | Thousand | 10000+1 | 10000000.5 | ||
106 | Million | 10001+1 | 10000001 | ||
109 | Billion | Thousand million | Milliard | 10002+1 | 10000001.5 |
1012 | Trillion | Billion | 10003+1 | 10000002 | |
1015 | Quadrillion | Thousand billion | Billiard | 10004+1 | 10000002.5 |
1018 | Quintillion | Trillion | 10005+1 | 10000003 | |
1021 | Sextillion | Thousand trillion | Trilliard | 10006+1 | 10000003.5 |
1024 | Septillion | Quadrillion | 10007+1 | 10000004 | |
1027 | Octillion | Thousand quadrillion | Quadrilliard | 10008+1 | 10000004.5 |
1030 | Nonillion | Quintillion | 10009+1 | 10000005 | |
1033 | Decillion | Thousand quintillion | Quintilliard | 100010+1 | 10000005.5 |
1036 | Undecillion | Sextillion | 100011+1 | 10000006 | |
1039 | Duodecillion | Thousand sextillion | Sextilliard | 100012+1 | 10000006.5 |
1042 | Tredecillion | Septillion | 100013+1 | 10000007 | |
1045 | Quattuordecillion | Thousand septillion | Septilliard | 100014+1 | 10000007.5 |
1048 | Quindecillion | Octillion | 100015+1 | 10000008 | |
1051 | Sexdecillion | Thousand octillion | Octilliard | 100016+1 | 10000008.5 |
1054 | Septendecillion | Nonillion | 100017+1 | 10000009 | |
1057 | Octodecillion | Thousand nonillion | Nonilliard | 100018+1 | 10000009.5 |
1060 | Novemdecillion | Decillion | 100019+1 | 100000010 | |
1063 | Vigintillion | Thousand decillion | Decilliard | 100020+1 | 100000010.5 |
1066 | Unvigintillion | Undecillion | 100021+1 | 100000011 | |
1069 | Duovigintillion | Thousand undecillion | Undecilliard | 100022+1 | 100000011.5 |
1072 | Trevigintillion | Duodecillion | 100023+1 | 100000012 | |
1075 | Quattuorvigintillion | Thousand duodecillion | Duodecilliard | 100024+1 | 100000012.5 |
1078 | Quinvigintillion | Tredecillion | 100025+1 | 100000013 | |
... | ... | ... | ... | ... | |
1093 | Trigintillion | Thousand quindecillion | Quindecilliard | 100030+1 | 100000015.5 |
... | ... | ... | ... | ... | |
10120 | Novemtrigintillion | Vigintillion | 100039+1 | 100000020 | |
10123 | Quadragintillion | Thousand vigintillion | Vigintilliard | 100040+1 | 100000020.5 |
... | ... | ... | ... | ... | |
10153 | Quinquagintillion | Thousand quinvigintillion | Quinvigintilliard | 100050+1 | 100000025.5 |
... | ... | ... | ... | ... | |
10180 | Novemquinquagintillion | Trigintillion | 100059+1 | 100000030 | |
10183 | Sexagintillion | Thousand trigintillion | Trigintilliard | 100060+1 | 100000030.5 |
... | ... | ... | ... | ... | |
10213 | Septuagintillion | Thousand quintrigintillion | Quintrigintilliard | 100070+1 | 100000035.5 |
... | ... | ... | ... | ... | |
10240 | Novemseptuagintillion | Quadragintillion | 100079+1 | 100000040 | |
10243 | Octogintillion | Thousand quadragintillion | Quadragintilliard | 100080+1 | 100000040.5 |
... | ... | ... | ... | ... | |
10273 | Nonagintillion | Thousand quinquadragintillion | Quinquadragintilliard | 100090+1 | 100000045.5 |
... | ... | ... | ... | ... | |
10300 | Novemnonagintillion | Quinquagintillion | 100099+1 | 100000050 | |
10303 | Centillion | Thousand quinquagintillion | Quinquagintilliard | 1000100+1 | 100000050.5 |
... | ... | ... | ... | ||
10360 | Sexagintillion | 1000119+1 | 100000060 | ||
10420 | Septuagintillion | 1000139+1 | 100000070 | ||
10480 | Octogintillion | 1000159+1 | 100000080 | ||
10540 | Nonagintillion | 1000179+1 | 100000090 | ||
10600 | Centillion | 1000199+1 | 1000000100 | ||
10603 | Ducentillion | Thousand centillion | Centilliard | 1000200+1 | 1000000100.5 |
There is no consistent and widely accepted way to extend cardinals beyond centillion (centilliard).
Proposed systematic names for powers of 10[সম্পাদনা]
Myriad system[সম্পাদনা]
Value | Name | Notation |
---|---|---|
100 | One | 1 |
101 | Ten | 10 |
102 | Hundred | 100 |
103 | Ten hundred | 1000 |
104 | Myriad | 1,0000 |
105 | Ten myriad | 10,0000 |
106 | Hundred myriad | 100,0000 |
107 | Ten hundred myriad | 1000,0000 |
108 | Myllion | 1;0000,0000 |
1012 | Myriad myllion | 1,0000;0000,0000 |
1016 | Byllion | 1:0000,0000;0000,0000 |
1024 | Myllion byllion | 1;0000,0000:0000,0000;0000,0000 |
1032 | Tryllion | 1'0000,0000;0000,0000:0000,0000;0000,0000 |
1064 | Quadryllion | 1'0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 |
10128 | Quintyllion | |
10256 | Sextyllion | |
10512 | Septyllion | |
101024 | Octyllion | |
102048 | Nonyllion | |
104096 | Decyllion | |
108192 | Undecyllion | |
1016,384 | Duodecyllion | |
1032,768 | Tredecyllion | |
1065,536 | Quattuordecyllion | |
10131,072 | Quindecyllion | |
10262,144 | Sexdecyllion | |
10524,288 | Septendecyllion | |
101,048,576 | Octodecyllion | |
102,097,152 | Novemdecyllion | |
Vigintyllion | ||
Trigintyllion | ||
Quadragintyllion | ||
Quinquagintyllion | ||
Sexagintyllion | ||
Septuagintyllion | ||
Octogintyllion | ||
Nonagintyllion | ||
Centyllion | ||
Millyllion | ||
Myryllion |
SI-derived[সম্পাদনা]
Value | 1000m | SI prefix | Name | Binary prefix | 1024m=210m | Value |
---|---|---|---|---|---|---|
1 000 | 10001 | k | Kilo | Ki | 10241 | 1 024 |
1 000 000 | 10002 | M | Mega | Mi | 10242 | 1 048 576 |
1 000 000 000 | 10003 | G | Giga | Gi | 10243 | 1 073 741 824 |
1 000 000 000 000 | 10004 | T | Tera | Ti | 10244 | 1 099 511 627 776 |
1 000 000 000 000 000 | 10005 | P | Peta | Pi | 10245 | 1 125 899 906 842 624 |
1 000 000 000 000 000 000 | 10006 | E | Exa | Ei | 10246 | 1 152 921 504 606 846 976 |
1 000 000 000 000 000 000 000 | 10007 | Z | Zetta | Zi | 10247 | 1 180 591 620 717 411 303 424 |
1 000 000 000 000 000 000 000 000 | 10008 | Y | Yotta | Yi | 10248 | 1 208 925 819 614 629 174 706 176 |
Fractional numbers[সম্পাদনা]
This is a table of English names for positive rational numbers less than or equal to 1. It also lists alternative names, but there is no widespread convention for the names of extremely small positive numbers.
Keep in mind that rational numbers like 0.12 can be represented in infinitely many ways, e.g. zero-point-one-two (0.12), twelve percent (12%), three twenty-fifths , nine seventy-fifths , six fiftieths , twelve hundredths , twenty-four two-hundredths , etc.
Value | Fraction | Common names | Alternative names |
---|---|---|---|
1 | One | 0.999..., Unity | |
0.9 | Nine tenths, [zero] point nine | ||
0.8 | Four fifths, eight tenths, [zero] point eight | ||
0.7 | Seven tenths, [zero] point seven | ||
0.6 | Three fifths, six tenths, [zero] point six | ||
0.5 | One half, five tenths, [zero] point five | ||
0.4 | Two fifths, four tenths, [zero] point four | ||
0.3 (333 333)... | One third | ||
0.3 | Three tenths, [zero] point three | ||
0.25 | One quarter, one fourth, twenty-five hundredths, [zero] point two five | ||
0.2 | One fifth, two tenths, [zero] point two | ||
0.16 (666 666)... | One sixth | ||
0.142 857 (142 857)... | One seventh | ||
0.125 | One eighth, one-hundred-[and-]twenty-five thousandths, [zero] point one two five | ||
0.1 (111 111)... | One ninth | ||
0.1 | One tenth, [zero] point one | One perdecime, one perdime | |
0.090 (909 090)... | One eleventh | ||
0.09 | Nine hundredths, [zero] point zero nine | ||
0.083 (333 333)... | One twelfth | ||
0.08 | Two twenty-fifths, eight hundredths, [zero] point zero eight | ||
0.0625 | One sixteenth, six-hundred-[and-]twenty-five ten-thousandths, [zero] point zero six two five | ||
0.05 | One twentieth, [zero] point zero five | ||
0.047 619 (047 619)... | One twenty-first | ||
0.045 (454 545)... | One twenty-second | ||
0.043 478 260 869 565 217 3913 (043 478)... | One twenty-third | ||
0.03 (333 333)... | One thirtieth | ||
0.016 (666 666)... | One sixtieth | One minute | |
0.012345679 (012345679)... | One eighty-first | ||
0.01 | One hundredth, [zero] point zero one | One percent | |
0.001 | One thousandth, [zero] point zero zero one | One permille | |
0.000 27 (777 777)... | One thirty-six hundredth | One second | |
0.000 1 | One ten-thousandth, [zero] point zero zero zero one | One myriadth, one permyria, one permyriad, one basis point | |
0.000 01 | One hundred-thousandth | One lakhth, one perlakh | |
0.000 001 | One millionth | One perion, one ppm | |
0.000 000 1 | One ten-millionth | One crorth, one percrore | |
0.000 000 01 | One hundred-millionth | One awkth, one perawk | |
0.000 000 001 | One billionth (in some dialects) | One ppb | |
0 | Zero | Nil |
Irrational and suspected irrational numbers[সম্পাদনা]
Algebraic numbers[সম্পাদনা]
Expression | Approximate value | Notes |
---|---|---|
0.433 012 701 892 219 323 381 861 585 376 | Area of an equilateral triangle with side length 1. | |
0.618 033 988 749 894 848 204 586 834 366 | Golden ratio conjugate , reciprocal of and one less than the golden ratio. | |
0.866 025 403 784 438 646 763 723 170 753 | Altitude of an equilateral triangle with side length 1. | |
1.059 463 094 359 295 264 561 825 294 946 | Twelfth root of two. Proportion between the frequencies of adjacent semitones in the equal temperament scale. | |
1.060 660 171 779 821 286 601 266 543 157 | The size of the cube that satisfies Prince Rupert's cube. | |
1.259 921 049 894 873 164 767 210 607 278 | Cube root of two. Length of the edge of a cube with volume two. See doubling the cube for the significance of this number. | |
n/a | 1.303 577 269 034 296 391 257 099 112 153 | Conway's constant, defined as the unique positive real root of a certain polynomial of degree 71. |
1.324 717 957 244 746 025 960 908 854 478 | Plastic number, the unique real root of the cubic equation | |
1.414 213 562 373 095 048 801 688 724 210 | Square root of two a.k.a. Pythagoras' constant. Ratio of diagonal to side length in a square. Proportion between the sides of paper sizes in the ISO 216 series (originally DIN 476 series). | |
1.538 841 768 587 626 701 285 145 288 018 | Altitude of a regular pentagon with side length 1. | |
1.561 552 812 808 830 274 910 704 927 987 | The Triangular root of 2. | |
1.618 033 988 749 894 848 204 586 834 366 | Golden ratio , the larger of the two real roots of | |
1.720 477 400 588 966 922 759 011 977 389 | Area of a regular pentagon with side length 1. | |
1.732 050 807 568 877 293 527 446 341 506 | Square root of three a.k.a. the measure of the fish. Length of the space diagonal of a cube with edge length 1. Length of the diagonal of a rectangle. Altitude of an equilateral triangle with side length 2. Altitude of a regular hexagon with side length 1 and diagonal length 2. | |
1.839 286 755 214 161 132 551 852 564 653 | The Tribonacci constant. Used in the formula for the volume of the snub cube and properties of some of its dual polyhedrons. It satisfies the equation x + x−3 = 2. | |
2.236 067 977 499 789 696 409 173 668 731 | Square root of five. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the space diagonal of a rectangular box. | |
2.414 213 562 373 095 048 801 688 724 210 | Silver ratio , the larger of the two real roots of . Altitude of an regular octagon with side length 1. | |
2.449 489 742 783 178 098 197 284 074 706 | = area of a rectangle. Length of the space diagonal of a rectangular box. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a square with side length . | |
2.598 076 113 533 159 402 911 695 122 588 | Area of a regular hexagon with side length 1. | |
2.645 751 311 064 590 590 501 615 753 639 | Length of the space diagonal of a rectangular box. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. | |
2.828 427 124 746 190 097 603 377 448 419 | Volume of a cube with edge length . Length of the diagonal of a square with side length 2. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. | |
3.162 277 660 168 379 331 998 893 544 433 | = area of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a square with side length . | |
3.316 624 790 355 399 849 114 932 736 671 | Length of the space diagonal of a rectangular box. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. | |
3.464 101 615 137 754 587 054 892 683 012 | Length of the space diagonal of a cube with edge length 2. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a square with side length . |
Transcendental numbers[সম্পাদনা]
- (−1)i = e−π = 0.0432139183...
- Liouville constant: c = 0.110001000000000000000001000...
- Champernowne constant: C10 = 0.12345678910111213141516...
- ii = √e−π = 0.207879576...
- ১⁄π = 0.318309886183790671537767526745028724068919291480...[৩]
- ১⁄e = 0.367879441171442321595523770161460867445811131031...[৩]
- Prouhet–Thue–Morse constant: τ = 0.412454033640...
- log10 e = 0.434294481903251827651128918916605082294397005803...[৩]
- Omega constant: Ω = 0.5671432904097838729999686622...
- Cahen's constant: c = 0.64341054629...
- ln 2: 0.693147180559945309417232121458...
- π/√18 = 0.7404... the maximum density of sphere packing in three dimensional Euclidean space according to the Kepler conjecture[৪]
- Gauss's constant: G = 0.8346268...
- π/√12 = 0.9068..., the fraction of the plane covered by the densest possible circle packing[৫]
- ei+e-i = 2cos(1) = 1.08060461...
- π4/90 = ζ(4) = 1.082323...[৬]
- √2s: 1.559610469...[৭]
- log2 3: 1.584962501... (the logarithm of any positive integer to any integer base greater than 1 is either rational or transcendental)
- Gaussian integral: √π = 1.772453850905516...
- Komornik–Loreti constant: q = 1.787231650...
- Universal parabolic constant: P2 = 2.29558714939...
- Gelfond–Schneider constant: √2√2 = 2.665144143...
- e = 2.718281828459045235360287471353...
- π = 3.141592653589793238462643383279...
- i√i = √eπ = 4.81047738...
- Tau, or 2π: τ = 6.283185307179586..., The ratio of the circumference to a radius, and the number of radians in a complete circle[৮][৯]
- Gelfond's constant: 23.14069263277925...
- Ramanujan's constant: e(π√163) = 262537412640768743.99999999999925...
Suspected transcendentals[সম্পাদনা]
- Z(1): -0.736305462867317734677899828925614672...
- Heath-Brown–Moroz constant: C = 0.001317641...
- Kepler–Bouwkamp constant: 0.1149420448...
- Viswanath's constant: 1.1319882487943...
- MRB constant: 0.187859...
- Meissel–Mertens constant: M = 0.2614972128476427837554268386086958590516...
- Bernstein's constant: β = 0.2801694990...
- Strongly carefree constant: 0.286747... [১০]
- Gauss–Kuzmin–Wirsing constant: λ1 = 0.3036630029... [১১]
- Hafner–Sarnak–McCurley constant: 0.3532363719...
- Artin's constant: 0.3739558136...
- Prime constant: ρ = 0.414682509851111660248109622...
- Carefree constant: 0.428249... [১২]
- S(1): 0.438259147390354766076756696625152...
- Favard constant: K1 = 1.57079633...
- F(1): 0.538079506912768419136387420407556...
- Stephens' constant: 0.575959... [১৩]
- Euler–Mascheroni constant: γ = 0.577215664901532860606512090082...
- Golomb–Dickman constant: λ = 0.62432998854355087099293638310083724...
- Twin prime constant: C2 = 0.660161815846869573927812110014...
- Copeland–Erdős constant: 0.235711131719232931374143...
- Feller-Tornier constant: 0.661317... [১৪]
- Laplace limit: ε = 0.6627434193...[১]
- Taniguchi's constant: 0.678234... [১৫]
- Continued Fraction Constant: C = 0.697774657964007982006790592551...[১৬]
- Embree–Trefethen constant: β* = 0.70258...
- Van der Pauw's constant: pi/ln(2) = 4.53236014182719380962...[১৭]
- Sarnak's constant: 0.723648... [১৮]
- Landau–Ramanujan constant: 0.76422365358922066299069873125...
- C(1): 0.77989340037682282947420641365...
- ζ(3)−1 = 0.831907..., the probability that three random numbers have no common factor greater than 1.[৪]
- Brun's constant for prime quadruplets: B2 = 0.8705883800...
- Quadratic class number constant: 0.881513... [১৯]
- Catalan's constant: G = 0.915965594177219015054603514932384110774...
- Viswanath's constant: σ(1) = 1.13198824...
- ζ(3) = 1.202056903159594285399738161511449990764986292..., also known as Apéry's constant, known to be irrational, but not known whether or not it is transcendental.[২০]
- Vardi's constant: E = 1.264084735305...
- Glaisher–Kinkelin constant: A = 1.28242712...
- Mills' constant: A = 1.30637788386308069046...
- Totient summatory constant: 1.339784... [২১]
- Ramanujan–Soldner constant: μ = 1.451369234883381050283968485892027449493…
- Backhouse's constant: 1.456074948...
- Erdős–Borwein constant: E = 1.606695152415291763...
- Somos' quadratic recurrence constant: σ = 1.661687949633594121296...
- Niven's constant: c = 1.705211...
- Brun's constant: B2 = 1.902160583104...
- Landau's totient constant: 1.943596... [২২]
- exp(-W 0(-ln(3⅓))) = 2.47805268028830..., the smaller solution to 3x = x3 and what, when put to the root of itself, is equal to 3 put to the root of itself.[২৩]
- Second Feigenbaum constant: α = 2.5029...
- Sierpiński's constant: K = 2.5849817595792532170658936...
- Barban's constant: 2.596536... [২৪]
- Khinchin's constant: K0 = 2.685452001...[২]
- Khinchin–Lévy constant: 1.1865691104...[৩]
- Fransén–Robinson constant: F = 2.8077702420...
- Murata's constant: 2.826419... [২৫]
- Lévy's constant: γ = 3.275822918721811159787681882...
- Reciprocal Fibonacci constant: ψ = 3.359885666243177553172011302918927179688905133731...
- First Feigenbaum constant: δ = 4.6692...
Numbers not known with high precision[সম্পাদনা]
- Landau's constant: 0.4330 < B < 0.472
- Bloch's constant: 0.4332 < B < 0.4719
- Landau's constant: 0.5 < L < 0.544
- Landau's constant: 0.5 < A < 0.7853
- Grothendieck constant: 1.67 < k < 1.79
Hypercomplex numbers[সম্পাদনা]
Algebraic complex numbers[সম্পাদনা]
- Imaginary unit:
- nth roots of unity:
Other hypercomplex numbers[সম্পাদনা]
- The quaternions
- The octonions
- The sedenions
- The dual numbers (with an infinitesimal)
Transfinite numbers[সম্পাদনা]
- Infinity in general:
- Aleph-null: : the smallest infinite cardinal, and the cardinality of , the set of natural numbers
- Aleph-one: : the cardinality of ω1, the set of all countable ordinal numbers
- Beth-one: (): the cardinality of the continuum
- ℭ or : the cardinality of the continuum
- omega: ω, the smallest infinite ordinal
Numbers representing measured quantities[সম্পাদনা]
- Pair: 2 (the base of the binary numeral system)
- Dozen: 12 (the base of the duodecimal numeral system)
- Baker's dozen: 13
- Score: 20 (the base of the vigesimal numeral system)
- Gross: 144 (= 122)
- Great gross: 1728 (= 123)
Numbers representing physical quantities[সম্পাদনা]
- Avogadro constant: NA = 6.0221417930... ×১০২৩ mol−1
- Coulomb's constant: টেমপ্লেট:SubSup = 8.987551787368...×১০৯ N·m2/C2 (m/F)
- Electronvolt: eV = 1.60217648740... ×১০–১৯ J
- Electron relative atomic mass: Ar(e) = 0.0005485799094323...
- Fine structure constant: α = 0.007297352537650...
- Gravitational constant: G = 6.67384...×10−11 N·(m/kg)2
- Molar mass constant: Mu = 0.001 kg/mol
- Planck constant: h = 6.6260689633... ×১০–৩৪ Js
- Rydberg constant: R∞ = 10973731.56852773... m−1
- Speed of light in vacuum: c = 299792458 m/s
- Stefan-Boltzmann constant: σ = 5.670400×১০−৮ W • m−2 • K−4
Numbers without specific values[সম্পাদনা]
See also[সম্পাদনা]
Notes[সম্পাদনা]
- ↑ http://mathworld.wolfram.com/Hardy-RamanujanNumber.html
- ↑ ক খ গ The shipmaster's assistant, and commercial digest
- ↑ ক খ গ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 27.
- ↑ ক খ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 29.
- ↑ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 30.
- ↑ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 33.
- ↑ http://www.qbyte.org/puzzles/p029s.html
- ↑ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 69
- ↑ Sequence টেমপ্লেট:OEIS2C.
- ↑ টেমপ্লেট:OEIS2C
- ↑ এরিক ডব্লিউ. ওয়াইস্টাইন সম্পাদিত ম্যাথওয়ার্ল্ড থেকে "Gauss-Kuzmin-Wirsing Constant"।
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ http://mathworld.wolfram.com/ContinuedFractionConstant.html
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 33
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
- ↑ টেমপ্লেট:OEIS2C
আরও পড়া[সম্পাদনা]
- Kingdom of Infinite Number: A Field Guide by Bryan Bunch, W.H. Freeman & Company, 2001. আইএসবিএন ০-৭১৬৭-৪৪৪৭-৩
External links[সম্পাদনা]
- The Database of Number Correlations: 1 to 2000+
- What's Special About This Number? A Zoology of Numbers: from 0 to 500
- See how to write big numbers
- The MegaPenny Project – Visualizing big numbers
- About big numbers
- Robert P. Munafo's Large Numbers page
- Different notations for big numbers – by Susan Stepney
- Names for Large Numbers, in How Many? A Dictionary of Units of Measurement by Russ Rowlett
- What's Special About This Number? (from 0 to 9999)