138163155728448494125

Names of 138163155728448494125

• Cardinal: 138163155728448494125 can be written as One hundred thirty-eight quintillion, one hundred sixty-three quadrillion, one hundred fifty-five trillion, seven hundred twenty-eight billion, four hundred forty-eight million, four hundred ninety-four thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.38163155728448494125 × 10²⁰

Factors of 138163155728448494125

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 488

Divisors of 138163155728448494125

• Number of divisors d(n): 256
• Complete list of divisors:
  1 5 25 29 101 125 145 353 505 725 841 1765 2525 2929 3625 4205 8825 10201 10237 12625 14645 21025 24389 35653 44125 51005 51185 73225 84941 105125 121945 124609 178265 255025 255925 295829 296873 366125 424705 609725 623045 891325 1030301 1033937 1275125 1279625 1479145 1484365 2123525 2463289 3048625 3115225 3600953 3613661 4456625 5151505 5169685 7395725 7421825 8579041 8609317 10617625 12316445 12585509 15576125 18004765 18068305 25757525 25848425 29878729 29984173 36978625 37109125 42895205 43046585 43986977 61582225 62927545 90023825 90341525 104427637 104796169 128787625 129242125 149393645 149920865 214476025 215232925 219934885 248792189 307911125 314637725 363696253 364979761 450119125 451707625 522138185 523980845 746968225 749604325 866483141 869541017 1072380125 1076164625 1099674425 1243960945 1271136409 1275622333 1573188625 1818481265 1824898805 2610690925 2619904225 3028401473 3039088901 3734841125 3748021625 4332415705 4347705085 4442684677 5498372125 6219804725 6355682045 6378111665 9092406325 9124494025 10547191337 10584413069 13053454625 13099521125 15142007365 15195444505 21662078525 21738525425 22213423385 25128011089 31099023625 31778410225 31890558325 36862955861 36993047657 45462031625 45622470125 52735956685 52922065345 75710036825 75977222525 87823642717 108310392625 108692627125 111067116925 125640055445 128384777309 128837855633 158892051125 159452791625 184314779305 184965238285 263679783425 264610326725 305868548773 306947979001 378550184125 379886112625 439118213585 448711152377 555335584625 628200277225 641923886545 644189278165 921573896525 924826191425 1069025719969 1072798382053 1318398917125 1323051633625 1529342743865 1534739895005 2195591067925 2243555761885 3141001386125 3209619432725 3220946390825 3723158541961 3736297813357 4607869482625 4624130957125 5345128599845 5363991910265 7646713719325 7673699475025 8870187914417 10977955339625 11217778809425 13012623418933 16048097163625 16104731954125 18615792709805 18681489066785 26725642999225 26819959551325 31001745879101 38233568596625 38368497375125 44350939572085 45319826390077 56088894047125 65063117094665 93078963549025 93407445333925 107971597716869 108352636587353 133628214996125 134099797756625 155008729395505 221754697860425 226599131950385 325315585473325 377366079149057 465394817745125 467037226669625 539857988584345 541763182936765 775043646977525 1108773489302125 1132995659751925 1314274965312233 1626577927366625 1886830395745285 2699289942921725 2708815914683825 3131176333789201 3875218234887625 5664978298759625 6571374826561165 9434151978726425 10943616295322653 13496449714608625 13544079573419125 15655881668946005 32856874132805825 38113973994054757 47170759893632125 54718081476613265 78279408344730025 164284370664029125 190569869970273785 273590407383066325 391397041723650125 952849349851368925 1105305245827587953 1367952036915331625 4764246749256844625 5526526229137939765 27632631145689698825 138163155728448494125
• Sum of all divisors σ(n): 180883766888612985600
• Sum of proper divisors (its aliquot sum) s(n): 42720611160164491475
• 138163155728448494125 is a deficient number, because the sum of its proper divisors (42720611160164491475) is less than itself. Its deficiency is 95442544568284002650

Bases of 138163155728448494125

• Binary: 1110111110101100110001000100001110110000001001001100001101000101101₂
• Hexadecimal: 0x77D66221D81261A2D
• Base-36: T5P5R5YLXQ0J1

Squares and roots of 138163155728448494125

• 138163155728448494125 squared (138163155728448494125²) is 19089057600843509937255137342980159515625
• 138163155728448494125 cubed (138163155728448494125³) is 2637404438014665257804861958837433974495972635784320658203125
• The square root of 138163155728448494125 is 11754282442.0909885725
• 138163155728448494125 is a perfect cube number. Its cube root is 5169685

Scales and comparisons

• 138,163,155,728,448,494,125 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,163,155,728,448,494,125 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 138163155728448494125 cubic inches would be around 430807.1 feet tall.

Recreational maths with 138163155728448494125

• 138163155728448494125 backwards is 521494844827551361831
• The number of decimal digits it has is: 21
• The sum of 138163155728448494125's digits is 91
• More coming soon!