138405504066912

Names of 138405504066912

• Cardinal: 138405504066912 can be written as One hundred thirty-eight trillion, four hundred five billion, five hundred four million, sixty-six thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 1.38405504066912 × 10¹⁴

Factors of 138405504066912

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 496

Divisors of 138405504066912

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 41 48 54 57 72 76 81 82 96 108 114 123 144 152 162 164 171 216 228 243 246 288 304 324 328 342 369 431 432 456 486 492 513 608 648 656 684 729 738 779 862 864 912 972 984 1026 1107 1293 1296 1312 1368 1458 1476 1539 1558 1681 1724 1824 1944 1968 2052 2214 2337 2586 2592 2736 2916 2952 3078 3116 3321 3362 3448 3879 3888 3936 4104 4428 4617 4674 5043 5172 5472 5832 5904 6156 6232 6642 6724 6896 7011 7758 7776 8189 8208 8856 9234 9348 9963 10086 10344 11637 11664 11808 12312 12464 13284 13448 13792 13851 14022 15129 15516 16378 16416 17671 17712 18468 18696 19926 20172 20688 21033 23274 23328 24567 24624 24928 26568 26896 27702 28044 29889 30258 31032 31939 32756 34911 35342 35424 36936 37392 39852 40344 41376 42066 45387 46548 49134 49248 53013 53136 53792 55404 56088 59778 60516 62064 63099 63878 65512 69822 70684 73701 73872 74784 79704 80688 84132 90774 93096 95817 98268 104733 106026 106272 110808 112176 119556 121032 124128 126198 127756 131024 136161 139644 141368 147402 147744 159039 159408 161376 168264 181548 185761 186192 189297 191634 196536 209466 212052 221103 221616 224352 239112 242064 252396 255512 262048 272322 279288 282736 287451 294804 314199 318078 318816 335749 336528 363096 371522 372384 378594 383268 393072 408483 418932 424104 442206 443232 477117 478224 484128 504792 511024 544644 557283 558576 565472 567891 574902 589608 628398 636156 663309 671498 673056 724511 726192 743044 757188 766536 786144 816966 837864 848208 862353 884412 954234 956448 1007247 1009584 1022048 1089288 1114566 1117152 1135782 1149804 1179216 1225449 1256796 1272312 1326618 1342996 1431351 1449022 1452384 1486088 1514376 1533072 1633932 1671849 1675728 1696416 1724706 1768824 1908468 1989927 2014494 2019168 2173533 2178576 2229132 2271564 2299608 2358432 2450898 2513592 2544624 2587059 2653236 2685992 2862702 2898044 2972176 3021741 3028752 3066144 3267864 3343698 3351456 3449412 3529459 3537648 3816936 3979854 4028988 4294053 4347066 4357152 4458264 4543128 4599216 4901796 5015547 5027184 5089248 5174118 5306472 5371984 5725404 5796088 5944352 5969781 6043482 6057504 6520599 6535728 6687396 6898824 7058918 7075296 7616201 7633872 7761177 7959708 8057976 8588106 8694132 8916528 9065223 9086256 9198432 9803592 10031094 10054368 10348236 10588377 10612944 10743968 11450808 11592176 11939562 12086964 12882159 13041198 13071456 13374792 13765709 13797648 14117836 15046641 15232402 15267744 15522354 15919416 16115952 17176212 17388264 17833056 18130446 18172512 19561797 19607184 20062188 20696472 21176754 21225888 22848603 22901616 23184352 23283531 23879124 24173928 25764318 26082396 26749584 27195669 27531418 27595296 28235672 30093282 30464804 31044708 31765131 31838832 32231904 34352424 34776528 36260892 39123594 39214368 40124376 41297127 41392944 42353508 45139923 45697206 45803232 46567062 47758248 48347856 51528636 52164792 53499168 54391338 55062836 56471344 58685391 60186564 60929608 62089416 63530262 63677664 68545809 68704848 69553056 72521784 78247188 80248752 81587007 82594254 82785888 84707016 90279846 91394412 93134124 95295393 95516496 96695712 103057272 104329584 108782676 110125672 112942688 117370782 120373128 121859216 123891381 124178832 127060524 135419769 137091618 137409696 144707819 145043568 156494376 160497504 163174014 165188508 169414032 176056173 180559692 182788824 186268248 190590786 191032992 205637427 206114544 208659168 217565352 220251344 234741564 240746256 243718432 244761021 247782762 248357664 254121048 270839538 274183236 285886179 289415638 290087136 312264241 312988752 326348028 330377016 338828064 352112346 361119384 365577648 371674143 372536496 381181572 411274854 412229088 434123457 435130704 440502688 469483128 481492512 489522042 495565524 508242096 528168519 541679076 548366472 571772358 578831276 616912281 624528482 625977504 652696056 660754032 704224692 722238768 731155296 743348286 745072992 762363144 822549708 857658537 868246914 870261408 936792723 938966256 979044084 991131048 1016484192 1056337038 1083358152 1096732944 1115022429 1143544716 1157662552 1233824562 1249056964 1302370371 1305392112 1321508064 1408449384 1444477536 1486696572 1524726288 1645099416 1715317074 1736493828 1850736843 1873585446 1877932512 1958088168 1982262096 2112674076 2166716304 2193465888 2230044858 2287089432 2315325104 2467649124 2498113928 2572975611 2604740742 2610784224 2810378169 2816898768 2973393144 3049452576 3290198832 3345067287 3430634148 3472987656 3701473686 3747170892 3907111113 3916176336 3964524192 4225348152 4333432608 4460089716 4574178864 4630650208 4935298248 4996227856 5145951222 5209481484 5552210529 5620756338 5633797536 5933020579 5946786288 6580397664 6690134574 6861268296 6945975312 7402947372 7494341784 7814222226 7832352672 8431134507 8450696304 8920179432 9148357728 9870596496 9992455712 10035201861 10291902444 10418962968 11104421058 11241512676 11721333339 11866041158 11893572576 13380269148 13722536592 13891950624 14805894744 14988683568 15628444452 16862269014 16901392608 17799061737 17840358864 19741192992 20070403722 20583804888 20837925936 22208842116 22483025352 23442666678 23732082316 25293403521 26760538296 27445073184 29611789488 29977367136 31256888904 33724538028 35164000017 35598123474 35680717728 40140807444 41167609776 41675851872 44417684232 44966050704 46885333356 47464164632 50586807042 53397185211 53521076592 59223578976 62513777808 67449076056 70328000034 71196246948 75880210563 80281614888 82335219552 88835368464 89932101408 93770666712 94928329264 101173614084 105492000051 106794370422 107042153184 125027555616 134898152112 140656000068 142392493896 151760421126 160191555633 160563229776 177670736928 187541333424 189856658528 202347228168 210984000102 213588740844 227640631689 269796304224 281312000136 284784987792 303520842252 320383111266 321126459552 375082666848 404694456336 421968000204 427177481688 455281263378 480574666899 562624000272 569569975584 607041684504 640766222532 809388912672 843936000408 854354963376 910562526756 961149333798 1125248000544 1214083369008 1281532445064 1441724000697 1687872000816 1708709926752 1821125053512 1922298667596 2428166738016 2563064890128 2883448001394 3375744001632 3642250107024 3844597335192 4325172002091 5126129780256 5766896002788 7284500214048 7689194670384 8650344004182 11533792005576 15378389340768 17300688008364 23067584011152 34601376016728 46135168022304 69202752033456 138405504066912
• Sum of all divisors σ(n): 441813858100020
• Sum of proper divisors (its aliquot sum) s(n): 303408354033108
• 138405504066912 is an abundant number, because the sum of its proper divisors (303408354033108) is greater than itself. Its abundance is 165002849966196

Bases of 138405504066912

• Binary: 11111011110000100001010111001111010010101100000₂
• Hexadecimal: 0x7DE10AE7A560
• Base-36: 1D26LZLI00

Squares and roots of 138405504066912

• 138405504066912 squared (138405504066912²) is 19156083556015994171773215744
• 138405504066912 cubed (138405504066912³) is 2651307400518277768305476700770744387862528
• The square root of 138405504066912 is 11764586.8634181965
• The cube root of 138405504066912 is 51727.0590364993

Scales and comparisons

• 138,405,504,066,912 seconds is equal to 4,400,866 years, 47 weeks, 3 days, 7 hours, 55 minutes, 12 seconds.
• To count from 1 to 138,405,504,066,912 would take you about eleven million, two thousand, one hundred sixty-seven 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 138405504066912 cubic inches would be around 4310.6 feet tall.

Recreational maths with 138405504066912

• 138405504066912 backwards is 219660405504831
• 138405504066912 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138405504066912's digits is 54
• More coming soon!