138976157578582016

Names of 138976157578582016

• Cardinal: 138976157578582016 can be written as One hundred thirty-eight quadrillion, nine hundred seventy-six trillion, one hundred fifty-seven billion, five hundred seventy-eight million, five hundred eighty-two thousand and sixteen.

Scientific notation

• Scientific notation: 1.38976157578582016 × 10¹⁷

Factors of 138976157578582016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 628148061

Divisors of 138976157578582016

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 61 64 77 88 92 112 122 128 154 161 176 184 224 244 253 256 308 322 352 368 427 448 488 506 512 616 644 671 704 736 854 896 976 1012 1024 1232 1288 1342 1403 1408 1472 1708 1771 1792 1952 2024 2048 2464 2576 2684 2806 2816 2944 3416 3542 3584 3904 4048 4697 4928 5152 5368 5612 5632 5888 6832 7084 7168 7808 8096 9394 9821 9856 10304 10736 11224 11264 11776 13664 14168 14336 15433 15616 16192 18788 19642 19712 20608 21472 22448 22528 23552 27328 28336 30866 31232 32384 37576 39284 39424 41216 42944 44896 47104 54656 56672 61732 62464 64768 75152 78568 78848 82432 85888 89792 108031 109312 113344 123464 124928 129536 150304 157136 157696 164864 171776 179584 216062 218624 226688 246928 259072 300608 314272 329728 343552 359168 432124 437248 453376 493856 518144 601216 628544 687104 718336 864248 874496 906752 987712 1202432 1257088 1374208 1436672 1728496 1813504 1975424 2404864 2514176 2873344 3456992 3627008 3950848 4809728 5028352 6913984 7901696 9619456 10056704 13827968 15803392 20113408 27655936 31606784 55311872 110623744 221247488 628147957 1256295914 2512591828 4397035699 5025183656 6909627527 8794071398 10050367312 13819255054 14447403011 17588142796 20100734624 27638510108 28894806022 35176285592 38317025377 40201469248 48367392689 55277020216 57789612044 70352571184 76634050754 80402938496 96734785378 101131821077 110554040432 115579224088 140705142368 153268101508 158921433121 160805876992 193469570756 202263642154 221108080864 231158448176 268219177639 281410284736 306536203016 317842866242 321611753984 386939141512 404527284308 421487279147 442216161728 462316896352 536438355278 562820569472 613072406032 635685732484 643223507968 773878283024 809054568616 842974558294 881291583671 884432323456 924633792704 1072876710556 1112450031847 1125641138944 1226144812064 1271371464968 1286447015936 1547756566048 1618109137232 1685949116588 1762583167342 1768864646912 1849267585408 2145753421112 2224900063694 2251282277888 2452289624128 2542742929936 2950410954029 3095513132096 3236218274464 3371898233176 3525166334684 3537729293824 3698535170816 4291506842224 4449800127388 4502564555776 4904579248256 5085485859872 5900821908058 6169041085697 6191026264192 6472436548928 6743796466352 7050332669368 7075458587648 7397070341632 8583013684448 8899600254776 9005129111552 9694207420381 9809158496512 10170971719744 11801643816116 12338082171394 12382052528384 12944873097856 13487592932704 14100665338736 14150917175296 14794140683264 17166027368896 17799200509552 19388414840762 19618316993024 20341943439488 23603287632232 24676164342788 24764105056768 25889746195712 26975185865408 28201330677472 29588281366528 34332054737792 35598401019104 38776829681524 39236633986048 40683886878976 47206575264464 49352328685576 49528210113536 51779492391424 53950371730816 56402661354944 67859451942667 68664109475584 71196802038208 77553659363048 78473267972096 81367773757952 94413150528928 98704657371152 99056420227072 103558984782848 107900743461632 112805322709888 135718903885334 137328218951168 142393604076416 155107318726096 162735547515904 188826301057856 197409314742304 207117969565696 215801486923264 225610645419776 271437807770668 274656437902336 284787208152832 310214637452192 325471095031808 377652602115712 394818629484608 431602973846528 451221290839552 542875615541336 549312875804672 569574416305664 620429274904384 755305204231424 789637258969216 863205947693056 902442581679104 1085751231082672 1139148832611328 1240858549808768 1510610408462848 1579274517938432 1804885163358208 2171502462165344 2278297665222656 2481717099617536 3021220816925696 3158549035876864 4343004924330688 4963434199235072 6042441633851392 6317098071753728 8686009848661376 9926868398470144 12634196143507456 17372019697322752 19853736796940288 34744039394645504 69488078789291008 138976157578582016
• Sum of all divisors σ(n): 367443037570452480
• Sum of proper divisors (its aliquot sum) s(n): 228466879991870464
• 138976157578582016 is an abundant number, because the sum of its proper divisors (228466879991870464) is greater than itself. Its abundance is 89490722413288448

Bases of 138976157578582016

• Binary: 111101101101111100001010000111000101110000101100000000000₂
• Hexadecimal: 0x1EDBE1438B85800
• Base-36: 120EXPEK8EM8

Squares and roots of 138976157578582016

• 138976157578582016 squared (138976157578582016²) is 19314372375306859520742173238624256
• 138976157578582016 cubed (138976157578582016³) is 2684237258762057538611360424672043474488663102980096
• The square root of 138976157578582016 is 372795061.0973568357
• The cube root of 138976157578582016 is 517980.5272597455

Scales and comparisons

• 138,976,157,578,582,016 seconds is equal to 4,419,011,929 years, 26 weeks, 6 days, 16 hours, 46 minutes, 56 seconds.
• To count from 1 to 138,976,157,578,582,016 would take you about thirteen billion, two hundred fifty-seven million, thirty-five thousand, seven hundred eighty-eight 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 138976157578582016 cubic inches would be around 43165 feet tall.

Recreational maths with 138976157578582016

• 138976157578582016 backwards is 610285875751679831
• The number of decimal digits it has is: 18
• The sum of 138976157578582016's digits is 89
• More coming soon!