138824287595136

Names of 138824287595136

• Cardinal: 138824287595136 can be written as One hundred thirty-eight trillion, eight hundred twenty-four billion, two hundred eighty-seven million, five hundred ninety-five thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.38824287595136 × 10¹⁴

Factors of 138824287595136

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 6370

Divisors of 138824287595136

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 143 144 156 176 192 198 208 234 251 264 286 288 312 352 384 396 416 429 468 502 528 572 576 613 624 704 753 792 832 858 936 1004 1056 1144 1152 1226 1248 1287 1408 1506 1584 1664 1716 1839 1872 2008 2112 2259 2288 2452 2496 2574 2761 3012 3168 3263 3432 3678 3744 4016 4224 4518 4576 4904 4992 5148 5477 5517 5522 6024 6336 6526 6743 6864 7356 7488 7969 8032 8283 9036 9152 9789 9808 10296 10954 11034 11044 12048 12672 13052 13486 13728 14712 14976 15938 16064 16431 16566 18072 18304 19578 19616 20229 20592 21908 22068 22088 23907 24096 24849 26104 26972 27456 29367 29424 31876 32128 32862 33132 35893 36144 39156 39232 40458 41184 43816 44136 44176 47814 48192 49293 49698 52208 53944 54912 58734 58848 60247 60687 63752 65724 66264 71201 71721 71786 72288 78312 78464 80916 82368 87632 87659 88272 88352 95628 96384 98586 99396 104416 107679 107888 117468 117696 120494 121374 127504 131448 132528 142402 143442 143572 144576 153863 156624 161832 164736 175264 175318 176544 176704 180741 191256 197172 198792 208832 213603 215358 215776 234936 235392 240988 242748 255008 262896 262977 265056 284804 286884 287144 289152 307726 313248 323037 323664 350528 350636 353088 353408 361482 382512 394344 397584 417664 427206 430716 431552 461589 469872 481976 485496 510016 525792 525954 530112 542223 569608 573768 574288 615452 626496 640809 646074 647328 701056 701272 706176 722964 765024 783211 788688 788931 795168 854412 861432 863104 923178 939744 963952 970992 1020032 1051584 1051908 1060224 1084446 1139216 1147536 1148576 1230904 1252992 1281618 1292148 1294656 1374727 1384767 1402544 1445928 1530048 1566422 1577376 1577862 1590336 1692493 1708824 1722864 1846356 1879488 1927904 1941984 2000219 2103168 2103816 2168892 2278432 2295072 2297152 2349633 2461808 2563236 2584296 2589312 2749454 2769534 2805088 2891856 3060096 3132844 3154752 3155724 3180672 3357401 3384986 3417648 3445728 3692712 3758976 3855808 3883968 4000438 4124181 4207632 4337784 4556864 4590144 4594304 4699266 4923616 5077479 5126472 5168592 5498908 5539068 5610176 5783712 6000657 6265688 6309504 6311448 6714802 6769972 6835296 6891456 7048899 7385424 7711616 7767936 8000876 8248362 8415264 8675568 9113728 9180288 9398532 9847232 10072203 10154958 10252944 10337184 10997816 11078136 11220352 11567424 12001314 12372543 12531376 12622896 13429604 13539944 13670592 13782912 14097798 14770848 15121997 15232437 16001752 16496724 16830528 17351136 17871451 18001971 18797064 19694464 20144406 20309916 20505888 20674368 21995632 22002409 22156272 23134848 24002628 24745086 25062752 25245792 26859208 27079888 27341184 28195596 29541696 30216609 30243994 30464874 32003504 32993448 33661056 34702272 35742902 36003942 36931411 37594128 40288812 40619832 41011776 41348736 43646213 43991264 44004818 44312544 45365991 48005256 49490172 50125504 50491584 53614353 53718416 54159776 56391192 59083392 60433218 60487988 60929748 64007008 65986896 66007227 69404544 71485804 72007884 73862822 75188256 80577624 81239664 82023552 87292426 87982528 88009636 88625088 90731982 96010512 98980344 100251008 100983168 107228706 107436832 108319552 110794233 112782384 120866436 120975976 121859496 128014016 130938639 131973792 132014454 136097973 142971608 144015768 147725644 150376512 160843059 161155248 162479328 174584852 175965056 176019272 177250176 181463964 192021024 196585961 197960688 198021681 214457412 214873664 216639104 221588466 225564768 241732872 241951952 243718992 256028032 261877278 263947584 264028908 272195946 285943216 288031536 295451288 300753024 321686118 322310496 324958656 332382699 349169704 352038544 362927928 384042048 392815917 393171922 395921376 396043362 428914824 429747328 443176932 451129536 480108343 483465744 483903904 487437984 523754556 527895168 528057816 544391892 571886432 576063072 589757883 590902576 643372236 644620992 649917312 664765398 698339408 704077088 725855856 768084096 785631834 786343844 791842752 792086724 842707651 857829648 886353864 902259072 960216686 966931488 967807808 974875968 1047509112 1056115632 1088783784 1143772864 1152126144 1179515766 1181805152 1286744472 1289241984 1329530796 1396678816 1408154176 1440325029 1451711712 1571263668 1572687688 1583685504 1584173448 1685415302 1715659296 1769273649 1772707728 1920433372 1933862976 1935615616 1949751936 2095018224 2112231264 2177567568 2287545728 2304252288 2359031532 2363610304 2528122953 2573488944 2659061592 2793357632 2816308352 2880650058 2903423424 3142527336 3145375376 3168346896 3370830604 3431318592 3538547298 3545415456 3840866744 3867725952 4190036448 4224462528 4320975087 4355135136 4718063064 4727220608 5056245906 5146977888 5318123184 5586715264 5761300116 5806846848 6285054672 6290750752 6336693792 6741661208 6862637184 7077094596 7090830912 7584368859 7681733488 8380072896 8448925056 8641950174 8710270272 9269784161 9436126128 10112491812 10293955776 10636246368 10955199463 11522600232 12570109344 12581501504 12673387584 13483322416 14154189192 14181661824 15168737718 15363466976 16760145792 17283900348 17420540544 18539568322 18872252256 20224983624 20587911552 21272492736 21910398926 23045200464 25140218688 25163003008 25346775168 26966644832 27809352483 28308378384 30337475436 30726933952 32865598389 34567800696 37079136644 37744504512 40449967248 42544985472 43820797852 46090400928 50280437376 53933289664 55618704966 56616756768 60674950872 61453867904 65731196778 69135601392 74158273288 75489009024 80899934496 83428057449 87641595704 92180801856 98596795167 107866579328 111237409932 113233513536 120507194093 121349901744 131462393556 138271202784 148316546576 161799868992 166856114898 175283191408 184361603712 197193590334 222474819864 226467027072 241014388186 242699803488 262924787112 276542405568 296633093152 323599737984 333712229796 350566382816 361521582279 394387180668 444949639728 482028776372 485399606976 525849574224 553084811136 593266186304 667424459592 701132765632 723043164558 788774361336 889899279456 964057552744 970799213952 1051699148448 1084564746837 1186532372608 1334848919184 1402265531264 1446086329116 1577548722672 1779798558912 1928115105488 2103398296896 2169129493674 2669697838368 2892172658232 3155097445344 3559597117824 3856230210976 4206796593792 4338258987348 5339395676736 5784345316464 6310194890688 7712460421952 8676517974696 10678791353472 11568690632928 12620389781376 15424920843904 17353035949392 23137381265856 34706071898784 46274762531712 69412143797568 138824287595136
• Sum of all divisors σ(n): 472045383089280
• Sum of proper divisors (its aliquot sum) s(n): 333221095494144
• 138824287595136 is an abundant number, because the sum of its proper divisors (333221095494144) is greater than itself. Its abundance is 194396807899008

Bases of 138824287595136

• Binary: 11111100100001010001100010110010010101010000000₂
• Hexadecimal: 0x7E428C592A80
• Base-36: 1D7IZWHWG0

Squares and roots of 138824287595136

• 138824287595136 squared (138824287595136²) is 19272182826297031090250858496
• 138824287595136 cubed (138824287595136³) is 2675447051263899989832017976772627273875456
• The square root of 138824287595136 is 11782371.9002217885
• The cube root of 138824287595136 is 51779.1779377677

Scales and comparisons

• 138,824,287,595,136 seconds is equal to 4,414,182 years, 48 weeks, 3 days, 21 hours, 45 minutes, 36 seconds.
• To count from 1 to 138,824,287,595,136 would take you about eleven million, thirty-five thousand, four hundred fifty-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 138824287595136 cubic inches would be around 4314.9 feet tall.

Recreational maths with 138824287595136

• 138824287595136 backwards is 631595782428831
• 138824287595136 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138824287595136's digits is 72
• More coming soon!