138683112597857083529

Names of 138683112597857083529

• Cardinal: 138683112597857083529 can be written as One hundred thirty-eight quintillion, six hundred eighty-three quadrillion, one hundred twelve trillion, five hundred ninety-seven billion, eight hundred fifty-seven million, eighty-three thousand, five hundred twenty-nine.

Scientific notation

• Scientific notation: 1.38683112597857083529 × 10²⁰

Factors of 138683112597857083529

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 182148

Divisors of 138683112597857083529

• Number of divisors d(n): 256
• Complete list of divisors:
  1 7 13 31 43 91 151 217 301 403 559 1057 1333 1963 2821 3913 4243 4681 6493 9331 10687 13741 17329 29701 32767 45451 55159 60853 74809 84409 121303 131533 138931 166973 182449 201283 331297 386113 425971 459541 590863 640693 920731 972517 1168811 1277143 1408981 1613737 1709929 2170649 2319079 2371837 2616679 3216787 4306861 4484851 5176163 5655919 5974033 7179839 8329009 11296159 11969503 14245771 15194543 16602859 18316753 19861483 20978581 25212923 27549799 30148027 36233141 39591433 41818231 45344941 50025847 50258873 58303063 67290119 69390691 73526947 93337907 99720397 139030381 146850067 176490461 185195023 192848593 222575009 258199279 317414587 327767999 350180929 358147387 471030833 485734837 514688629 589484233 650336011 653365349 708466439 781600613 854043769 902078983 1084155689 1296365161 1405693171 1558025063 1784440451 1807394953 1949832463 2151111421 2294375993 2507031709 2893475117 4126389631 4552352077 4959265073 5471204291 5978306383 6314552881 6847086091 7589089823 9210063707 9839852197 10160807969 11102568997 12491083157 13648827241 14094023957 15057779947 18274011223 20254325819 21962459609 23197725863 25347822019 27964448473 30464056877 33608826359 47929602637 55317653981 60444806353 64470445949 71125655783 76730939393 77717982979 89012119183 98658167699 106978432289 127918078561 153737217263 162384081041 177434754133 195751139311 212259668821 213248398139 235261784513 269450508101 285511974917 294424701913 387223577867 396032739401 423113644471 436914742667 537116575751 623084834281 719129501753 748849026023 785782482589 944385763187 997502212109 1390719619757 1485817681747 1886153556707 1998583824419 2060972913391 2378659121183 2759375694673 2772229175807 3058403198669 3316331400959 3502856605313 3827521124869 4600072588427 5033906512271 5500477378123 6610700342309 6982515484763 7571380833593 8352965751131 9127165759303 9735037338299 11586371848343 12277014921431 16650613848281 19315629862711 23214319806713 24519996237191 26792647874083 30922568575379 32200508118989 43112308212467 52999665835151 58470760257917 59800943649551 63890160315121 81104602938401 85939104450017 98427950836709 108588554764703 118653154870939 142602250241237 150622834028459 216457980027653 234712805841383 301786157487269 325569375844499 359177527298633 418606605546857 688995655856963 760119883352921 830572084096573 998215751688659 1054359838199213 1143278505872543 1642989640889681 1853829253136081 2278985630911493 2514242691090431 3051266475937979 4232401885978487 4669307854882229 8002949541107801 10092650651179469 12976804771952567 14862620576343059 21358865331565853 29626813201849409 32685154984175603 35441633682048833 49160975752519349 70648554558256283 104038344034401413 131204458465333097 248091435774341831 344126830267635443 460741237866634829 639092684782751537 918431209257331679 1523990248328099819 3225188665066443803 4473648793479260759 10667931738296698733 19811873228265297647 138683112597857083529
• Sum of all divisors σ(n): 181545269462644555776
• Sum of proper divisors (its aliquot sum) s(n): 42862156864787472247
• 138683112597857083529 is a deficient number, because the sum of its proper divisors (42862156864787472247) is less than itself. Its deficiency is 95820955733069611282

Bases of 138683112597857083529

• Binary: 1111000010010011101011001000010001000010100110001011010000010001001₂
• Hexadecimal: 0x7849D642214C5A089
• Base-36: T9NDGHQUJ283T

Squares and roots of 138683112597857083529

• 138683112597857083529 squared (138683112597857083529²) is 19233005719829906107524416821801683093841
• 138683112597857083529 cubed (138683112597857083529³) is 2667293097838400196813375688231059381530559470899285882444889
• The square root of 138683112597857083529 is 11776379435.0325297053
• The cube root of 138683112597857083529 is 5176162.0000000011

Scales and comparisons

• 138,683,112,597,857,083,529 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,683,112,597,857,083,529 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 138683112597857083529 cubic inches would be around 431346.8 feet tall.

Recreational maths with 138683112597857083529

• 138683112597857083529 backwards is 925380758795211386831
• The number of decimal digits it has is: 21
• The sum of 138683112597857083529's digits is 101
• More coming soon!