138782807681024

Names of 138782807681024

• Cardinal: 138782807681024 can be written as One hundred thirty-eight trillion, seven hundred eighty-two billion, eight hundred seven million, six hundred eighty-one thousand and twenty-four.

Scientific notation

• Scientific notation: 1.38782807681024 × 10¹⁴

Factors of 138782807681024

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 200

Divisors of 138782807681024

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 8 13 16 17 26 31 32 34 52 62 64 68 104 124 128 136 137 208 221 248 256 272 274 289 403 416 442 496 512 527 544 548 578 806 832 884 961 992 1024 1054 1088 1096 1156 1612 1664 1768 1781 1922 1984 2048 2108 2176 2192 2312 2329 3224 3328 3536 3562 3757 3844 3968 4216 4247 4352 4384 4624 4658 6448 6656 6851 7072 7124 7514 7688 7936 8432 8494 8704 8768 8959 9248 9316 12493 12896 13312 13702 14144 14248 15028 15376 15872 16337 16864 16988 17408 17536 17918 18496 18632 18769 24986 25792 26624 27404 28288 28496 30056 30277 30752 31744 32674 33728 33976 34816 35072 35836 36992 37264 37538 39593 49972 51584 54808 55211 56576 56992 60112 60554 61504 63488 65348 67456 67952 70144 71672 72199 73984 74528 75076 79186 99944 103168 109616 110422 113152 113984 116467 120224 121108 123008 130696 131657 134912 135904 140288 143344 144398 147968 149056 150152 158372 199888 206336 212381 219232 220844 226304 227968 232934 240448 242216 243997 246016 261392 263314 269824 271808 277729 280576 286688 288796 295936 298112 300304 316744 319073 399776 412672 424762 438464 441688 452608 455936 465868 480896 484432 487994 492032 514709 522784 526628 539648 543616 555458 573376 577592 581839 591872 596224 600608 633488 638146 799552 825344 849524 876928 883376 911872 931736 938587 961792 968864 975988 984064 1029418 1045568 1053256 1079296 1087232 1110916 1146752 1155184 1163678 1192448 1201216 1227383 1266976 1276292 1599104 1699048 1711541 1753856 1766752 1823744 1863472 1877174 1923584 1937728 1951976 1968128 2058836 2091136 2106512 2174464 2221832 2238169 2293504 2310368 2327356 2384896 2402432 2454766 2533952 2552584 3198208 3398096 3423082 3507712 3533504 3610477 3647488 3726944 3754348 3847168 3875456 3903952 4117672 4147949 4182272 4213024 4348928 4443664 4476338 4587008 4620736 4654712 4769792 4804864 4909532 5067904 5105168 5424241 6396416 6796192 6846164 7015424 7067008 7220954 7453888 7508696 7563907 7694336 7750912 7807904 8235344 8295898 8364544 8426048 8697856 8887328 8952676 9174016 9241472 9309424 9609728 9819064 9891263 10135808 10210336 10848482 12792832 13592384 13692328 14030848 14134016 14441908 14907776 15017392 15127814 15501824 15615808 15955979 16470688 16591796 16729088 16852096 17774656 17905352 18037009 18348032 18482944 18618848 19219456 19638128 19782526 20271616 20420672 21696964 25585664 27184768 27384656 28268032 28883816 29096197 29815552 30034784 30255628 31003648 31231616 31911958 32941376 33183592 33458176 33704192 35549312 35810704 36074018 36965888 37237696 38048873 38438912 39276256 39565052 40543232 40841344 43393928 54369536 54769312 56536064 57767632 58192394 59631104 60069568 60511256 62007296 62463232 63823916 65882752 66367184 67408384 70515133 71098624 71621408 72148036 73931776 74475392 76097746 78552512 79130104 81086464 81682688 86787856 108739072 109538624 113072128 115535264 116384788 119262208 120139136 121022512 124926464 127647832 128586419 131765504 132734368 134816768 141030266 142197248 143242816 144296072 147863552 148950784 152195492 157105024 158260208 163365376 168151471 173575712 217478144 219077248 231070528 232769576 234481117 238524416 240278272 242045024 249852928 255295664 257172838 263531008 265468736 269633536 282060532 284394496 286485632 288592144 297901568 304390984 306629153 314210048 316520416 326730752 336302942 347151424 434956288 438154496 462141056 465539152 468962234 480556544 484090048 494635349 499705856 510591328 514345676 527062016 530937472 564121064 568788992 572971264 577184288 595803136 608781968 613258306 628420096 633040832 653461504 672605884 694302848 876308992 924282112 931078304 937924468 961113088 968180096 989270698 1021182656 1028691352 1054124032 1061874944 1128242128 1145942528 1154368576 1191606272 1217563936 1226516612 1256840192 1266081664 1345211768 1388605696 1752617984 1848564224 1862156608 1875848936 1922226176 1936360192 1978541396 2042365312 2057382704 2123749888 2185969123 2256484256 2291885056 2308737152 2435127872 2453033224 2513680384 2532163328 2690423536 2777211392 3505235968 3697128448 3724313216 3751697872 3872720384 3957082792 3986178989 4084730624 4114765408 4247499776 4371938246 4512968512 4583770112 4617474304 4870255744 4906066448 5064326656 5212695601 5380847072 5554422784 7394256896 7448626432 7503395744 7745440768 7914165584 7972357978 8169461248 8229530816 8494999552 8743876492 9025937024 9234948608 9740511488 9812132896 10128653312 10425391202 10761694144 11108845568 14897252864 15006791488 15490881536 15828331168 15944715956 16338922496 16459061632 17487752984 18051874048 18469897216 19481022976 19624265792 20257306624 20850782404 21523388288 29794505728 30013582976 31656662336 31889431912 32677844992 32918123264 34975505968 36103748096 36939794432 38962045952 39248531584 41701564808 43046776576 59589011456 60027165952 63313324672 63778863824 65836246528 67765042813 69951011936 72207496192 77924091904 78497063168 83403129616 86093553152 120054331904 126626649344 127557727648 131672493056 135530085626 139902023872 144414992384 156994126336 166806259232 172187106304 240108663808 253253298688 255115455296 263344986112 271060171252 279804047744 313988252672 333612518464 344374212608 480217327616 506506597376 510230910592 542120342504 559608095488 627976505344 667225036928 1013013194752 1020461821184 1084240685008 1119216190976 1334450073856 2040923642368 2168481370016 2238432381952 2668900147712 4081847284736 4336962740032 4476864763904 5337800295424 8163694569472 8673925480064 10675600590848 17347850960128 34695701920256 69391403840512 138782807681024
• Sum of all divisors σ(n): 330439677741810
• Sum of proper divisors (its aliquot sum) s(n): 191656870060786
• 138782807681024 is an abundant number, because the sum of its proper divisors (191656870060786) is greater than itself. Its abundance is 52874062379762

Bases of 138782807681024

• Binary: 11111100011100011100011111100111110100000000000₂
• Hexadecimal: 0x7E38E3F3E800
• Base-36: 1D6ZXWFDVK

Squares and roots of 138782807681024

• 138782807681024 squared (138782807681024²) is 19260667707828094172529688576
• 138782807681024 cubed (138782807681024³) is 2673049542303615747779932477165971464781824
• The square root of 138782807681024 is 11780611.5155803351
• The cube root of 138782807681024 is 51774.0203152729

Scales and comparisons

• 138,782,807,681,024 seconds is equal to 4,412,864 years, 7 hours, 23 minutes, 44 seconds.
• To count from 1 to 138,782,807,681,024 would take you about eleven million, thirty-two thousand, one hundred sixty 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 138782807681024 cubic inches would be around 4314.5 feet tall.

Recreational maths with 138782807681024

• 138782807681024 backwards is 420186708287831
• The number of decimal digits it has is: 15
• The sum of 138782807681024's digits is 65
• More coming soon!