138756906390922113

Names of 138756906390922113

• Cardinal: 138756906390922113 can be written as One hundred thirty-eight quadrillion, seven hundred fifty-six trillion, nine hundred six billion, three hundred ninety million, nine hundred twenty-two thousand, one hundred thirteen.

Scientific notation

• Scientific notation: 1.38756906390922113 × 10¹⁷

Factors of 138756906390922113

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 75

Divisors of 138756906390922113

• Number of divisors d(n): 420
• Complete list of divisors:
  1 3 7 17 19 21 29 49 51 57 87 119 133 147 203 289 323 357 399 493 551 609 833 841 867 931 969 1421 1479 1653 2023 2261 2499 2523 2793 3451 3857 4263 4913 5491 5887 6069 6783 8381 9367 10353 11571 14161 14297 14739 15827 15979 16473 17661 24157 24389 25143 26999 28101 34391 38437 41209 42483 42891 47481 47937 58667 65569 72471 73167 80997 83521 93347 100079 103173 111853 115311 123627 142477 159239 170723 176001 196707 240737 243049 250563 269059 271643 280041 300237 335559 410669 414613 427431 458983 463391 477717 512169 584647 653429 700553 707281 722211 729147 782971 807177 814929 997339 1114673 1195061 1232007 1243839 1376949 1390173 1586899 1701343 1753941 1901501 1960287 2101659 2121843 2348913 2422109 2707063 2902291 2992017 3243737 3344019 3585183 4092529 4131833 4574003 4617931 4760697 4950967 5104029 5704503 6981373 7048421 7266327 7802711 7877647 8121189 8706873 9731211 11108293 11909401 12023777 12277587 12395499 13310507 13438339 13722009 13853793 14852901 16954763 18949441 20316037 20511149 20944119 21145263 22706159 23408133 23632941 28922831 32325517 33324879 34656769 35728203 36071331 39931521 40315017 46020071 49338947 50864289 55143529 56848323 60948111 61533447 68118477 70241161 77758051 78504827 84166439 86768493 94068373 96976551 103970307 118683341 119823157 132646087 133919999 138060213 143578043 148016841 165430587 202459817 204404209 210723483 226278619 228451763 233274153 235514481 252499317 282205119 322140497 345372629 348689533 356050023 359469471 386004703 389711831 397938261 401759997 430734129 491688127 549533789 589165073 594823321 607379451 613212627 658478611 678835857 685355289 838762099 937439993 966421491 1005046301 1036117887 1046068599 1158014109 1169135493 1334582059 1430829463 1475064381 1599162341 1648601367 1767495219 1784469963 1975435833 2036993669 2254983479 2276639983 2440826731 2516286297 2727982817 2812319979 3015138903 3441816889 3474871553 3846736523 3883679971 4003746177 4163763247 4292488389 4797487023 5871334693 5927722061 6110981007 6562079951 6625101127 6764950437 6829919949 7322480193 8183948451 9342074413 10015806241 10111996457 10325450667 10424614659 11194136387 11301643099 11540209569 11651039913 12491289741 14258955683 15936479881 17085787117 17614004079 17783166183 19095879719 19686239853 19875303381 24324100871 27185759797 28026223239 29146342729 30047418723 30335989371 33582409161 33904929297 38702879711 41494054427 42776867049 46375707889 47809439643 51257361351 57287639157 59072816401 65394520891 66022559507 70783975199 72972302613 79111501693 81557279391 87439028187 99812689781 100771275037 111555359167 112626719159 116108639133 124482163281 139127123667 170268706097 171903939769 177218449203 190300318579 192127932683 196183562673 198067678521 212351925597 237334505079 270920157977 290458380989 299438069343 302313825111 324629955223 334666077501 337880157477 413509714807 462157916549 495487826393 510806118291 515711819307 553780511851 570900955737 576383798049 705398925259 788387034113 812760473931 871375142967 973889865669 1122383511619 1203327578383 1240529144421 1344895528781 1386473749647 1486463479179 1661341535553 1713111675629 1896441105839 1914654225703 2116196775777 2365161102339 2894568003649 2922366976073 3235105415843 3266174855611 3367150534857 3609982735149 4034686586343 4937792476813 5139335026887 5518709238791 5689323317517 5743962677109 7856684581333 8423293048681 8683704010947 8767100928219 9414268701467 9705316247529 9798524566833 11991781729403 13402579579921 14813377430439 16556127716373 20456568832511 22863223989277 23570053743999 25269879146043 28242806104401 32549121836951 35975345188209 40207738739763 49680238593241 54996792069331 55524972545387 61369706497533 68589671967831 83942472105821 93818057059447 97647365510853 143195981827577 149040715779723 160042567924939 164990376207993 166574917636161 227843852858657 251827416317463 281454171178341 347761670152687 388674807817709 429587945482731 480127703774817 683531558575971 943924533271579 1043285010458061 1166024423453127 1594906970010599 2434331691068809 2720723654723963 2831773599814737 4784720910031797 6607471732901053 7302995073206427 8162170964171889 19822415198703159 46252302130307371 138756906390922113
• Sum of all divisors σ(n): 249297035961568560
• Sum of proper divisors (its aliquot sum) s(n): 110540129570646447
• 138756906390922113 is a deficient number, because the sum of its proper divisors (110540129570646447) is less than itself. Its deficiency is 28216776820275666

Bases of 138756906390922113

• Binary: 111101100111101101010101111010011100100000010001110000001₂
• Hexadecimal: 0x1ECF6ABD3902381
• Base-36: 11Y97USRZYBL

Squares and roots of 138756906390922113

• 138756906390922113 squared (138756906390922113²) is 19253479071179121926544854432384769
• 138756906390922113 cubed (138756906390922113³) is 2671553193179179451430743016267642031949983526496897
• The square root of 138756906390922113 is 372500881.0605984501
• The cube root of 138756906390922113 is 517707.9922140137
• Being both a perfect square and a perfect cube, 138756906390922113 is also a perfect sixth number.

Scales and comparisons

• 138,756,906,390,922,113 seconds is equal to 4,412,040,419 years, 48 weeks, 5 days, 21 hours, 28 minutes, 33 seconds.
• To count from 1 to 138,756,906,390,922,113 would take you about thirteen billion, two hundred thirty-six million, one hundred twenty-one thousand, two hundred fifty-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 138756906390922113 cubic inches would be around 43142.3 feet tall.

Recreational maths with 138756906390922113

• 138756906390922113 backwards is 311229093609657831
• The number of decimal digits it has is: 18
• The sum of 138756906390922113's digits is 75
• More coming soon!