138400900171008

Names of 138400900171008

• Cardinal: 138400900171008 can be written as One hundred thirty-eight trillion, four hundred billion, nine hundred million, one hundred seventy-one thousand and eight.

Scientific notation

• Scientific notation: 1.38400900171008 × 10¹⁴

Factors of 138400900171008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5119

Divisors of 138400900171008

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 128 136 164 192 204 246 256 272 328 384 408 492 544 656 697 768 816 984 1088 1312 1394 1632 1681 1968 2091 2176 2237 2624 2788 2819 3264 3362 3936 4182 4352 4474 5043 5248 5576 5638 6528 6711 6724 7872 8364 8457 8948 10086 10496 11152 11276 13056 13422 13448 15744 16728 16914 17896 20172 22304 22552 26844 26896 28577 31488 33456 33828 35792 38029 40344 44608 45104 47923 53688 53792 57154 66912 67656 71584 76058 80688 85731 89216 90208 91717 95846 107376 107584 114087 114308 115579 133824 135312 143168 143769 152116 161376 171462 178432 180416 183434 191692 214752 215168 228174 228616 231158 267648 270624 275151 286336 287538 304232 322752 342924 346737 360832 366868 383384 429504 430336 456348 457232 462316 535296 541248 550302 572672 575076 608464 645504 685848 693474 721664 733736 766768 859008 912696 914464 924632 1082496 1100604 1150152 1216928 1291008 1371696 1386948 1467472 1533536 1559189 1718016 1825392 1828928 1849264 1964843 2164992 2201208 2300304 2433856 2743392 2773896 2934944 3067072 3118378 3650784 3657856 3698528 3760397 3929686 4402416 4600608 4677567 4738739 4867712 5486784 5547792 5869888 5894529 6134144 6236756 6306103 7301568 7315712 7397056 7520794 7859372 8804832 9201216 9355134 9477478 9735424 10973568 11095584 11281191 11739776 11789058 12268288 12473512 12612206 14216217 14603136 14794112 15041588 15718744 17609664 18402432 18710268 18918309 18954956 21947136 22191168 22562382 23479552 23578116 24947024 25224412 28432434 29206272 29588224 30083176 31437488 35219328 36804864 37420536 37836618 37909912 44382336 45124764 47156232 49894048 50448824 56864868 60166352 62874976 63926749 70438656 74841072 75673236 75819824 80558563 88764672 90249528 94312464 99788096 100897648 107203751 113729736 120332704 125749952 127853498 149682144 151346472 151639648 161117126 180499056 188624928 191780247 199576192 201795296 214407502 227459472 240665408 241675689 251499904 255706996 258550223 299364288 302692944 303279296 321611253 322234252 360998112 377249856 383560494 399152384 403590592 428815004 454918944 481330816 483351378 502999808 511413992 517100446 598728576 605385888 606558592 643222506 644468504 721996224 754499712 767120988 775650669 807181184 857630008 909837888 962661632 966702756 1022827984 1034200892 1197457152 1210771776 1213117184 1286445012 1288937008 1443992448 1508999424 1534241976 1551301338 1614362368 1715260016 1819675776 1933405512 2045655968 2068401784 2421543552 2572890024 2577874016 2887984896 3068483952 3102602676 3430520032 3639351552 3866811024 4091311936 4136803568 4395353791 4843087104 5145780048 5155748032 6136967904 6205205352 6861040064 7733622048 8182623872 8273607136 8790707582 10291560096 10311496064 10600559143 12273935808 12410410704 13186061373 13722080128 15467244096 16365247744 16547214272 17581415164 20583120192 20622992128 21201118286 24547871616 24820821408 26372122746 27444160256 30934488192 31801677429 33094428544 35162830328 41166240384 42402236572 49095743232 49641642816 52744245492 61868976384 63603354858 66188857088 70325660656 82332480768 84804473144 99283285632 105488490984 127206709716 140651321312 169608946288 180209505431 198566571264 210976981968 254413419432 281302642624 339217892576 360419010862 421953963936 508826838864 540628516293 562605285248 678435785152 720838021724 843907927872 1017653677728 1081257032586 1125210570496 1356871570304 1441676043448 1687815855744 2035307355456 2162514065172 2713743140608 2883352086896 3375631711488 4070614710912 4325028130344 5766704173792 8141229421824 8650056260688 11533408347584 17300112521376 23066816695168 34600225042752 46133633390336 69200450085504 138400900171008
• Sum of all divisors σ(n): 400080942394560
• Sum of proper divisors (its aliquot sum) s(n): 261680042223552
• 138400900171008 is an abundant number, because the sum of its proper divisors (261680042223552) is greater than itself. Its abundance is 123279142052544

Bases of 138400900171008

• Binary: 11111011101111111111000011111011100010100000000₂
• Hexadecimal: 0x7DDFF87DC500
• Base-36: 1D24HUK16O

Squares and roots of 138400900171008

• 138400900171008 squared (138400900171008²) is 19154809168145322243643736064
• 138400900171008 cubed (138400900171008³) is 2651042831475189535536507616861085616832512
• The square root of 138400900171008 is 11764391.1942355947
• The cube root of 138400900171008 is 51726.4854835965

Scales and comparisons

• 138,400,900,171,008 seconds is equal to 4,400,720 years, 27 weeks, 1 day, 11 hours, 56 minutes, 48 seconds.
• To count from 1 to 138,400,900,171,008 would take you about eleven million, one thousand, eight hundred one 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 138400900171008 cubic inches would be around 4310.5 feet tall.

Recreational maths with 138400900171008

• 138400900171008 backwards is 800171009004831
• The number of decimal digits it has is: 15
• The sum of 138400900171008's digits is 42
• More coming soon!