138042526504064

Names of 138042526504064

• Cardinal: 138042526504064 can be written as One hundred thirty-eight trillion, forty-two billion, five hundred twenty-six million, five hundred four thousand and sixty-four.

Scientific notation

• Scientific notation: 1.38042526504064 × 10¹⁴

Factors of 138042526504064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 144

Divisors of 138042526504064

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 43 52 56 64 79 86 91 104 112 128 158 169 172 182 208 224 301 316 338 344 364 416 448 553 559 602 632 676 688 728 832 896 1027 1106 1118 1183 1204 1264 1352 1376 1456 1664 1849 2054 2212 2236 2366 2408 2528 2704 2752 2912 3397 3698 3913 4108 4424 4472 4732 4816 5056 5408 5504 5824 6241 6794 7189 7267 7396 7826 8216 8848 8944 9464 9632 10112 10816 11648 12482 12943 13351 13588 14378 14534 14792 15652 16432 17696 17888 18928 19264 21632 23779 24037 24964 25886 26702 27176 28756 29068 29584 31304 32864 35392 35776 37856 38528 43687 44161 47558 48074 49928 50869 51772 53404 54352 57512 58136 59168 62608 65728 70784 71552 75712 81133 87374 88322 93457 95116 96148 99856 101738 103544 106808 108704 115024 116272 118336 125216 131456 146071 151424 162266 168259 174748 176644 186914 190232 192296 199712 203476 207088 213616 217408 230048 232544 236672 250432 268363 292142 309127 312481 324532 336518 349496 353288 373828 380464 384592 399424 406952 414176 427232 434816 460096 465088 493039 500864 536726 567931 574093 584284 618254 624962 649064 673036 698992 706576 747656 760928 769184 798848 813904 828352 854464 920192 930176 986078 1022497 1054729 1073452 1135862 1148186 1168568 1236508 1249924 1298128 1346072 1397984 1413152 1495312 1521856 1538368 1627808 1656704 1708928 1878541 1898923 1972156 2044994 2109458 2146904 2187367 2271724 2296372 2337136 2473016 2499848 2596256 2692144 2795968 2826304 2990624 3043712 3076736 3255616 3451273 3488719 3757082 3797846 3944312 4018651 4089988 4218916 4293808 4374734 4543448 4592744 4674272 4946032 4999696 5192512 5384288 5591936 5652608 5981248 6409507 6511232 6902546 6977438 7383103 7514164 7595692 7888624 8037302 8179976 8437832 8587616 8749468 9086896 9185488 9348544 9892064 9999392 10385024 10768576 11539609 11962496 12819014 13292461 13805092 13954876 14766206 15028328 15191384 15777248 16074604 16359952 16875664 17175232 17498936 18173792 18370976 18697088 19784128 19998784 21200677 21537152 23079218 24421033 24685999 25638028 26584922 27610184 27909752 29532412 30056656 30382768 31554496 32149208 32719904 33751328 34350464 34997872 36347584 36741952 39568256 39997568 42401354 44866549 45353347 46158436 48842066 49371998 51276056 53169844 55220368 55819504 59064824 60113312 60765536 63108992 64298416 65439808 67502656 69995744 72695168 73483904 80777263 83323591 84802708 89733098 90706694 92316872 97684132 98743996 102552112 106339688 110440736 111639008 118129648 120226624 121531072 128596832 130879616 135005312 139991488 148404739 150014917 161554526 166647182 169605416 172801993 179466196 181413388 184633744 195368264 197487992 205104224 212679376 220881472 223278016 236259296 240453248 243062144 257193664 275608801 279982976 296809478 300029834 317473429 323109052 333294364 339210832 345603986 358932392 362826776 369267488 390736528 394975984 410208448 425358752 441762944 446556032 472518592 514387328 551217602 583265137 593618956 600059668 634946858 646218104 666588728 678421664 691207972 717864784 725653552 738534976 781473056 789951968 820416896 850717504 911629111 945037184 1050104419 1102435204 1166530274 1187237912 1200119336 1269893716 1292436208 1333177456 1356843328 1382415944 1435729568 1451307104 1477069952 1562946112 1579903936 1701435008 1823258222 1929261607 1950193921 2100208838 2204870408 2333060548 2374475824 2400238672 2539787432 2584872416 2666354912 2713686656 2764831888 2871459136 2902614208 3125892224 3159807872 3582914413 3646516444 3858523214 3900387842 4200417676 4409740816 4666121096 4748951648 4800477344 5079574864 5169744832 5332709824 5529663776 5742918272 5805228416 6381403777 7165828826 7293032888 7717046428 7800775684 8400835352 8819481632 9332242192 9497903296 9600954688 10159149728 10339489664 10665419648 11059327552 11851178443 12762807554 13651357447 14331657652 14586065776 15434092856 15601551368 16801670704 17638963264 18664484384 18995806592 19201909376 20318299456 22118655104 23702356886 25080400891 25525615108 27302714894 28663315304 29172131552 30868185712 31203102736 33603341408 35277926528 37328968768 40636598912 47404713772 50160801782 51051230216 54605429788 57326630608 58344263104 61736371424 62406205472 67206682816 74657937536 82958249101 94809427544 100321603564 102102460432 109210859576 114653261216 116688526208 123472742848 124812410944 134413365632 154065319759 165916498202 189618855088 200643207128 204204920864 218421719152 229306522432 246945485696 249624821888 308130639518 331832996404 379237710176 401286414256 408409841728 436843438304 458613044864 616261279036 663665992808 758475420352 802572828512 816819683456 873686876608 1078457238313 1232522558072 1327331985616 1516950840704 1605145657024 1747373753216 2156914476626 2465045116144 2654663971232 3210291314048 4313828953252 4930090232288 5309327942464 8627657906504 9860180464576 10618655884928 17255315813008 19720360929152 34510631626016 69021263252032 138042526504064
• Sum of all divisors σ(n): 352895095353600
• Sum of proper divisors (its aliquot sum) s(n): 214852568849536
• 138042526504064 is an abundant number, because the sum of its proper divisors (214852568849536) is greater than itself. Its abundance is 76810042345472

Bases of 138042526504064

• Binary: 11111011000110010000111110000011001010010000000₂
• Hexadecimal: 0x7D8C87C19480
• Base-36: 1CXJV04M0W

Squares and roots of 138042526504064

• 138042526504064 squared (138042526504064²) is 19055739123625211905408516096
• 138042526504064 cubed (138042526504064³) is 2630502373027562614318883437691336753414144
• The square root of 138042526504064 is 11749150.0332604485
• The cube root of 138042526504064 is 51681.8002407041

Scales and comparisons

• 138,042,526,504,064 seconds is equal to 4,389,325 years, 18 weeks, 1 day, 3 hours, 7 minutes, 44 seconds.
• To count from 1 to 138,042,526,504,064 would take you about ten million, nine hundred seventy-three thousand, three hundred thirteen 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 138042526504064 cubic inches would be around 4306.8 feet tall.

Recreational maths with 138042526504064

• 138042526504064 backwards is 460405625240831
• The number of decimal digits it has is: 15
• The sum of 138042526504064's digits is 50
• More coming soon!