42165831583341760

Names of 42165831583341760

• Cardinal: 42165831583341760 can be written as Forty-two quadrillion, one hundred sixty-five trillion, eight hundred thirty-one billion, five hundred eighty-three million, three hundred forty-one thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 4.216583158334176 × 10¹⁶

Factors of 42165831583341760

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 322596

Divisors of 42165831583341760

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 49 56 64 70 80 86 98 107 112 140 160 172 196 214 215 224 245 280 301 320 344 392 428 430 448 490 535 560 602 688 749 784 856 860 980 1070 1120 1204 1376 1498 1505 1568 1712 1720 1823 1960 2107 2140 2240 2408 2752 2996 3010 3136 3424 3440 3646 3745 3920 4214 4280 4601 4816 5243 5992 6020 6848 6880 7292 7490 7840 8428 8560 9115 9202 9632 10486 10535 11984 12040 12761 13760 14584 14980 15680 16856 17120 18230 18404 19264 20972 21070 23005 23968 24080 25522 26215 29168 29960 32207 33712 34240 36460 36808 41944 42140 46010 47936 48160 51044 52430 58336 59920 63805 64414 67424 72920 73616 78389 83888 84280 89327 92020 96320 102088 104860 116672 119840 127610 128828 134848 145840 147232 156778 161035 167776 168560 178654 184040 195061 204176 209720 225449 239680 255220 257656 291680 294464 313556 320609 322070 335552 337120 357308 368080 390122 391945 408352 419440 446635 450898 510440 515312 548723 583360 627112 641218 644140 674240 714616 736160 780244 783890 816704 838880 893270 901796 975305 1020880 1030624 1097446 1127245 1254224 1282436 1288280 1365427 1429232 1472320 1560488 1567780 1603045 1677760 1786540 1803592 1950610 2041760 2061248 2194892 2244263 2254490 2508448 2564872 2576560 2730854 2743615 2858464 3120976 3135560 3206090 3573080 3607184 3841061 3901220 4083520 4389784 4488526 4508980 5016896 5129744 5153120 5461708 5487230 5716928 6241952 6271120 6412180 6827135 7146160 7214368 7682122 7802440 8387623 8779568 8977052 9017960 9557989 10259488 10306240 10923416 10974460 11221315 12483904 12542240 12824360 13654270 13786187 14292320 14428736 15364244 15604880 15709841 16775246 17559136 17954104 18035920 19115978 19205305 20518976 21846832 21948920 22442630 25084480 25648720 27308540 27572374 28584640 30728488 31209760 31419682 33550492 34305163 35118272 35908208 36071840 38231956 38410610 41938115 43693664 43897840 44885260 47789945 51297440 54617080 55144748 58713361 61456976 62419520 62839364 67100984 68610326 68930935 71816416 72143680 76463912 76821220 78549205 83876230 87387328 87795680 89770520 95579890 96503309 102594880 109234160 110289496 117426722 122913952 125678728 134201968 137220652 137861870 143632832 152927824 153642440 157098410 167752460 171525815 175591360 179541040 191159780 193006618 218468320 220578992 234853444 240136141 245827904 251357456 268403936 274441304 275723740 293566805 305855648 307284880 314196820 335504920 343051630 359082080 382319560 386013236 410993527 436936640 441157984 469706888 480272282 482516545 502714912 536807872 548882608 551447480 584470207 587133610 611711296 614569760 628393640 671009840 675523163 686103260 718164160 764639120 772026472 821987054 882315968 939413776 960544564 965033090 1005429824 1097765216 1102894960 1168940414 1174267220 1200680705 1229139520 1256787280 1342019680 1351046326 1372206520 1475122009 1529278240 1544052944 1643974108 1680952987 1878827552 1921089128 1930066180 2054967635 2195530432 2205789920 2337880828 2348534440 2401361410 2513574560 2684039360 2702092652 2744413040 2922351035 2950244018 3058556480 3088105888 3287948216 3361905974 3377615815 3757655104 3842178256 3860132360 4091291449 4109935270 4411579840 4675761656 4697068880 4802722820 5027149120 5404185304 5488826080 5844702070 5900488036 6176211776 6575896432 6723811948 6755231630 7375610045 7684356512 7720264720 8182582898 8219870540 8404764935 9351523312 9394137760 9605445640 10325854063 10808370608 10977652160 11689404140 11800976072 13151792864 13447623896 13510463260 14751220090 15368713024 15440529440 16365165796 16439741080 16809529870 18703046624 18788275520 19210891280 20456457245 20651708126 21616741216 23378808280 23601952144 25132218901 26303585728 26895247792 27020926520 28639040143 29502440180 30881058880 32730331592 32879482160 33619059740 37406093248 38421782560 40912914490 41303416252 43233482432 46757616560 47203904288 50264437802 51629270315 53790495584 54041853040 57278080286 59004880360 62538312149 65460663184 65758964320 67238119480 72280978441 76843565120 81825828980 82606832504 93515233120 94407808576 100528875604 103258540630 107580991168 108083706080 114556160572 118009760720 125076624298 125661094505 130921326368 131517928640 134476238960 143195200715 144561956882 163651657960 165213665008 175925532307 187030466240 201057751208 206517081260 216167412160 229112321144 236019521440 250153248596 251322189010 261842652736 268952477920 286390401430 289123913764 312691560745 327303315920 330427330016 351851064614 361404892205 402115502416 413034162520 437768185043 458224642288 472039042880 500306497192 502644378020 537904955840 572780802860 578247827528 625383121490 654606631840 660854660032 703702129228 722809784410 804231004832 826068325040 875536370086 879627661535 916449284576 1000612994384 1005288756040 1145561605720 1156495655056 1231478726149 1250766242980 1309213263680 1407404258456 1445619568820 1608462009664 1652136650080 1751072740172 1759255323070 1832898569152 2001225988768 2010577512080 2188840925215 2291123211440 2312991310112 2462957452298 2501532485960 2689147422407 2814808516912 2891239137640 3064377295301 3304273300160 3502145480344 3518510646140 4002451977536 4021155024160 4377681850430 4582246422880 4625982620224 4925914904596 5003064971920 5378294844814 5629617033824 5782478275280 6128754590602 6157393630745 7004290960688 7037021292280 8042310048320 8755363700860 9164492845760 9851829809192 10006129943840 10756589689628 11259234067648 11564956550560 12257509181204 12314787261490 13445737112035 14008581921376 14074042584560 15321886476505 17510727401720 18824031956849 19703659618384 20012259887680 21513179379256 23129913101120 24515018362408 24629574522980 26891474224070 28017163842752 28148085169120 30643772953010 35021454803440 37648063913698 39407319236768 43026358758512 49030036724816 49259149045960 53782948448140 56296170338240 61287545906020 70042909606880 75296127827396 78814638473536 86052717517024 94120159784245 98060073449632 98518298091920 107565896896280 122575091812040 131768223697943 140085819213760 150592255654792 172105435034048 188240319568490 196120146899264 197036596183840 215131793792560 245150183624080 263536447395886 301184511309584 376480639136980 394073192367680 430263587585120 490300367248160 527072894791772 602369022619168 658841118489715 752961278273960 860527175170240 980600734496320 1054145789583544 1204738045238336 1317682236979430 1505922556547920 2108291579167088 2635364473958860 3011845113095840 4216583158334176 5270728947917720 6023690226191680 8433166316668352 10541457895835440 21082915791670880 42165831583341760
• Sum of all divisors σ(n): 120700246514411520
• Sum of proper divisors (its aliquot sum) s(n): 78534414931069760
• 42165831583341760 is an abundant number, because the sum of its proper divisors (78534414931069760) is greater than itself. Its abundance is 36368583347728000

Bases of 42165831583341760

• Binary: 10010101110011011001100110110101001011110001110011000000₂
• Hexadecimal: 0x95CD99B52F1CC0
• Base-36: BJ6JFM37NB4

Squares and roots of 42165831583341760

• 42165831583341760 squared (42165831583341760²) is 1777957353114741475092728959897600
• 42165831583341760 cubed (42165831583341760³) is 74969050313800284218345492677436653575235403776000
• The square root of 42165831583341760 is 205343204.3758491659
• The cube root of 42165831583341760 is 348059.5517920475

Scales and comparisons

• 42,165,831,583,341,760 seconds is equal to 1,340,743,016 years, 45 weeks, 1 day, 12 hours, 42 minutes, 40 seconds.
• To count from 1 to 42,165,831,583,341,760 would take you about four billion, twenty-two million, two hundred twenty-nine thousand and fifty 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 42165831583341760 cubic inches would be around 29005 feet tall.

Recreational maths with 42165831583341760

• 42165831583341760 backwards is 06714338513856124
• The number of decimal digits it has is: 17
• The sum of 42165831583341760's digits is 67
• More coming soon!