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Everything about List Of Numbers totally explained

This is a list of articles about numbers (not about numerals).

Rational numbers

Notable rational numbers

Natural numbers

0 (number) 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49
50 51 52 53 54 55 56 57 58 59
60 61 62 63 64 65 66 67 68 69
70 71 72 73 74 75 76 77 78 79
80 81 82 83 84 85 86 87 88 89
90 91 92 93 94 95 96 97 98 99
100 101 102 103 104 105 106 107 108 109
110 111 112 113 114 115 116 117 118 119
120 121 122 123 124 125 126 127 128 129
130 131 132 133 134 135 136 137 138 139
140 141 142 143 144 145 146 147 148 149
150 151 152 153 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169
170 171 172 173 174 175 176 177 178 179
180 181 182 183 184 185 186 187 188 189
190 191 192 193 194 195 196 197 198 199
200 210 220 230 240 250 260 270 280 290
300 400 500 600 700 800 900
1000 2000 3000 4000 5000 6000 7000 8000 9000
10000 20000 30000 40000 50000 60000 70000 80000 90000
100k-1M 1M-10M 10M-100M 100M-1000M Larger #s

Powers of ten

» See: Orders of magnitude (numbers)

Integers

Notable integers

Other numbers that are notable for their mathematical properties or cultural meanings include:

Named integers

  • Graham's number
  • Hardy-Ramanujan number
  • Skewes' number
  • Steinhaus' Mega and Megiston, Moser's number
  • Number of the Beast
  • Leviathan number
  • Kaprekar's constant

    Prime numbers

    A prime number is a positive integer which has exactly two divisors: one and itself.
  • List of prime numbers
    The first 100 prime numbers:
    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 167173
    179181 191193 197 199 211 223 227229
    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

    Perfect numbers

    A perfect number is an integer that's the sum of its positive proper divisors (all divisors except itself).
    The first ten perfect numbers:
    16
    228
    3496
    48 128
    533 550 336
    68 589 869 056
    7137 438 691 328
    82 305 843 008 139 952 128
    92 658 455 991 569 831 744 654 692 615 953 842 176
    10   191 561 942 608 236 107 294 793 378 084 303 638 130 997 321 548 169 216

    Cardinal numbers

    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

    This table demonstrates the standard English construction of small cardinal numbers up to ten million -- names for which all variants of English agree.
    Value Name Alternate names
    0 Zero aught, cipher, cypher, goose egg, nada, naught, nil, none, nought, nowt, null, ought, oh, squat, zed, zilch, zip
    1 One ace, single, singleton, unary, unit, unity
    2 Two binary, brace, couple, couplet, distich, deuce, double, doubleton, duad, duality, duet, duo, dyad, pair, span, twain, twosome, yoke
    3 Three deuce-ace, leash, set, tercet, ternary, ternion, terzetto, threesome, tierce, trey, triad, trine, trinity, trio, triplet, troika
    4 Four foursome, quadruplet, quatern, quaternary, quaternion, 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, septuplet
    8 Eight octad, octave, octet, octonary, octuplet, ogdoad
    9 Nine ennead
    10 Ten deca, decade, sawbuck
    11 Eleven
    12 Twelve dozen
    13 Thirteen baker's dozen, long dozen
    14 Fourteen
    15 Fifteen
    16 Sixteen
    17 Seventeen
    18 Eighteen
    19 Nineteen
    20 Twenty score
    21 Twenty-one
    22 Twenty-two
    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
    50 Fifty Half - century
    60 Sixty shock
    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, great hundred, (obsolete) hundred
    121 One hundred [and] twenty-one
    144 One hundred [and] forty-four gross, dozen dozen, small gross
    200 Two hundred
    300 Three hundred
    666 Six Hundred [and] sixty-six Number of the Beast
    1 000 One thousand chiliad, grand (or G), thou, yard, kilo (often shortened to K)
    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 kilo (in computing, see binary prefix) (often shortened to K)
    1 100 One thousand one 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
    10 000 Ten thousand myriad
    100 000 One hundred thousand lakh
    500 000 Five hundred thousand crore (Iranian)
    1 000 000 One million meg, mil, (often shortened to M)
    1 048 576 One million forty-eight thousand five hundred [and] seventy-six meg (in computing, see binary prefix) (often shortened to M)
    10 000 000 Ten million crore (Indian)

    English names for powers of 10

    This table compares the English names of cardinal numbers according to various American, British, and Continental European conventions. See names of numbers in English or English-language numerals for more information on naming numbers.
    Short scaleNicolas Chuquet)
    Long scale Power
    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 ... ... 100024+1 100000012.5
    ... ... ... ... ...
    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 duovigintillion Duovigintilliard 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

    Gillion system
    As proposed by Russ Rowlett, based on Greek-derived numerical prefixes:
    Value Name
    103 Thousand
    106 Million
    109 Gillion
    1012 Tetrillion
    1015 Pentillion
    1018 Hexillion
    1021 Heptillion
    1024 Oktillion
    1027 Ennillion
    1030 Dekillion
    Value Name
    1033 Hendekillion
    1036 Dodekillion
    1039 Trisdekillion
    1042 Tetradekillion
    1045 Pentadekillion
    1048 Hexadekillion
    1051 Heptadekillion
    1054 Oktadekillion
    1057 Enneadekillion
    1060 Icosillion
    Value Name
    1063 Icosihenillion
    1066 Icosidillion
    1069 Icositrillion
    1072 Icositetrillion
    1075 Icosipentillion
    1078 Icosihexillion
    1081 Icosiheptillion
    1084 Icosioktillion
    1087 Icosiennillion
    1090 Triacontillion
    Myriad system
    Proposed by Donald E. Knuth:
    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 1'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000
    10256 Sextyllion 1'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,00000000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000
    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
    104,194,304 Vigintyllion
    108,388,608 Cafaolion
    1016,777,216 Saralion

    Numbers without specific values

    » See placeholder names

    Bases

  • Base -3 (negaternary)
  • Base -2 (negabinary)
  • Base 1 (unary)
  • Base 2 (binary)
  • Base 3 (ternary or trinary, see also balanced ternary)
  • Base 4 (quaternary)
  • Base 5 (quinary)
  • Base 6 (senary or heximal)
  • Base 7 (septenary)
  • Base 8 (octal)
  • Base 9 (nonary)
  • Base 10 (decimal)
  • Base 12 (duodecimal or dozenal)
  • Base 13 (tridecimal or tredecimal)
  • Base 16 (hexadecimal)
  • Base 20 (vigesimal)
  • Base 24 (quadrovigesimal)
  • Base 26 (hexavigesimal)
  • Base 27 (septemvigesimal)
  • Base 30 (trigesimal)
  • Base 32 (duotrigesimal)
  • Base 36 (hexatridecimal, sexatrigesimal or hexatrigesimal)
  • Base 60 (sexagesimal)
  • Base 64 (quadrosexagesimal)
  • mixed radix
  • Base φ (phinary)
  • Base 2i (quater-imaginary) See also positional systems of numeral system for bases which might not be listed here.Further Information

    Get more info on 'List Of Numbers'.


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