40082437417467904

Names of 40082437417467904

• Cardinal: 40082437417467904 can be written as Forty quadrillion, eighty-two trillion, four hundred thirty-seven billion, four hundred seventeen million, four hundred sixty-seven thousand, nine hundred four.

Scientific notation

• Scientific notation: 4.0082437417467904 × 10¹⁶

Factors of 40082437417467904

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 105

Divisors of 40082437417467904

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 8 16 19 31 32 38 53 62 64 76 106 124 128 152 212 248 256 304 361 424 496 512 589 608 722 848 992 1007 1024 1178 1216 1444 1643 1696 1984 2014 2048 2356 2432 2809 2888 3286 3392 3968 4028 4096 4712 4864 5618 5776 6572 6784 6859 7936 8056 8192 9424 9728 11191 11236 11552 13144 13568 13718 15872 16112 16384 18848 19133 19456 22382 22472 23104 26288 27136 27436 31217 31744 32224 32768 37696 38266 38912 44764 44944 46208 52576 53371 54272 54872 62434 63488 64448 65536 75392 76532 77824 87079 89528 89888 92416 105152 106742 108544 109744 124868 126976 128896 131072 150784 153064 155648 174158 179056 179776 184832 210304 212629 213484 217088 219488 249736 253952 257792 262144 301568 306128 311296 348316 358112 359552 363527 369664 420608 425258 426968 434176 438976 499472 507904 515584 524288 593123 603136 612256 622592 696632 716224 719104 727054 739328 841216 850516 853936 868352 877952 998944 1014049 1015808 1031168 1048576 1186246 1206272 1224512 1245184 1393264 1432448 1438208 1454108 1478656 1654501 1682432 1701032 1707872 1736704 1755904 1997888 2028098 2031616 2062336 2097152 2372492 2412544 2449024 2490368 2786528 2864896 2876416 2908216 2957312 3309002 3364864 3402064 3415744 3473408 3511808 3995776 4056196 4063232 4124672 4194304 4744984 4825088 4898048 4980736 5573056 5729792 5752832 5816432 5914624 6618004 6729728 6804128 6831488 6946816 7023616 7991552 8112392 8126464 8249344 8388608 9489968 9650176 9796096 9961472 11146112 11269337 11459584 11505664 11632864 11829248 13236008 13459456 13608256 13662976 13893632 14047232 15983104 16224784 16252928 16498688 16777216 18979936 19266931 19300352 19592192 19922944 22292224 22538674 22919168 23011328 23265728 23658496 26472016 26918912 27216512 27325952 27787264 28094464 31435519 31966208 32449568 32505856 32997376 33554432 37959872 38533862 38600704 39184384 39845888 44584448 45077348 45838336 46022656 46531456 47316992 52944032 53837824 54433024 54651904 55574528 56188928 62871038 63932416 64899136 65011712 65994752 67108864 75919744 77067724 77201408 78368768 79691776 89168896 90154696 91676672 92045312 93062912 94633984 105888064 107675648 108866048 109303808 111149056 112377856 125742076 127864832 129798272 130023424 131989504 151839488 154135448 154402816 156737536 159383552 178337792 180309392 183353344 184090624 186125824 189267968 211776128 215351296 217732096 218607616 222298112 224755712 251484152 255729664 259596544 260046848 263979008 303678976 308270896 308805632 313475072 318767104 356675584 360618784 366706688 368181248 372251648 378535936 423552256 430702592 435464192 437215232 444596224 449511424 502968304 511459328 519193088 520093696 527958016 597274861 607357952 616541792 617611264 626950144 637534208 713351168 721237568 733413376 736362496 744503296 757071872 847104512 861405184 870928384 874430464 889192448 899022848 1005936608 1022918656 1038386176 1040187392 1055916032 1194549722 1214715904 1233083584 1235222528 1253900288 1275068416 1426702336 1442475136 1466826752 1472724992 1489006592 1514143744 1694209024 1722810368 1741856768 1748860928 1778384896 1798045696 2011873216 2045837312 2076772352 2080374784 2111832064 2389099444 2429431808 2466167168 2470445056 2507800576 2853404672 2884950272 2933653504 2945449984 2978013184 3028287488 3388418048 3445620736 3483713536 3497721856 3556769792 3596091392 4023746432 4091674624 4153544704 4223664128 4778198888 4858863616 4932334336 4940890112 5015601152 5706809344 5769900544 5867307008 5890899968 5956026368 6056574976 6776836096 6891241472 6967427072 6995443712 7192182784 8047492864 8183349248 8307089408 8447328256 9556397776 9717727232 9864668672 9881780224 10031202304 11413618688 11539801088 11734614016 11781799936 11912052736 12113149952 13553672192 13782482944 13934854144 13990887424 14384365568 16094985728 16366698496 16614178816 16894656512 19112795552 19435454464 19729337344 19763560448 20062404608 22827237376 23079602176 23469228032 23563599872 23824105472 24226299904 27107344384 27564965888 27869708288 27981774848 28768731136 32189971456 32733396992 33228357632 33789313024 38225591104 38870908928 39458674688 39527120896 40124809216 45654474752 46159204352 46938456064 47127199744 47648210944 54214688768 55129931776 55739416576 55963549696 57537462272 64379942912 65466793984 66456715264 67578626048 76451182208 77741817856 78917349376 80249618432 91308949504 92318408704 93876912128 94254399488 95296421888 108429377536 110259863552 111478833152 111927099392 115074924544 128759885824 130933587968 132913430528 152902364416 155483635712 157834698752 160499236864 182617899008 184636817408 187753824256 188508798976 190592843776 216858755072 222957666304 223854198784 230149849088 257519771648 261867175936 265826861056 305804728832 310967271424 315669397504 320998473728 365235798016 369273634816 375507648512 381185687552 433717510144 445915332608 447708397568 460299698176 515039543296 523734351872 531653722112 611609457664 621934542848 631338795008 641996947456 730471596032 738547269632 751015297024 762371375104 867435020288 891830665216 895416795136 1030079086592 1047468703744 1063307444224 1223218915328 1243869085696 1262677590016 1283993894912 1460943192064 1477094539264 1524742750208 1734870040576 1783661330432 1790833590272 2060158173184 2094937407488 2126614888448 2446437830656 2487738171392 2525355180032 2921886384128 2954189078528 3049485500416 3469740081152 3567322660864 3581667180544 4120316346368 4253229776896 4892875661312 4975476342784 5050710360064 5843772768256 5908378157056 6098971000832 6939480162304 7134645321728 8240632692736 8506459553792 9785751322624 9950952685568 10101420720128 11816756314112 12197942001664 13878960324608 14269290643456 16481265385472 17012919107584 19571502645248 19901905371136 20202841440256 23633512628224 24395884003328 27757920649216 32962530770944 34025838215168 39143005290496 39803810742272 40405682880512 47267025256448 55515841298432 65925061541888 68051676430336 78286010580992 80811365761024 94534050512896 111031682596864 131850123083776 156572021161984 161622731522048 189068101025792 263700246167552 313144042323968 323245463044096 378136202051584 527400492335104 626288084647936 646490926088192 756272404103168 1054800984670208 1252576169295872 1292981852176384 2109601969340416 2505152338591744 5010304677183488 10020609354366976 20041218708733952 40082437417467904
• Sum of all divisors σ(n): 89026596844263680
• Sum of proper divisors (its aliquot sum) s(n): 48944159426795776
• 40082437417467904 is an abundant number, because the sum of its proper divisors (48944159426795776) is greater than itself. Its abundance is 8861722009327872

Bases of 40082437417467904

• Binary: 10001110011001101100001110110100000000000000000000000000₂
• Hexadecimal: 0x8E66C3B4000000
• Base-36: AYO1DJOHSSG

Squares and roots of 40082437417467904

• 40082437417467904 squared (40082437417467904²) is 1606601789325231097483546870153216
• 40082437417467904 cubed (40082437417467904³) is 64396515675420529527578926541539447036015242379264
• The square root of 40082437417467904 is 200205987.4665787911
• The cube root of 40082437417467904 is 342229.9714538299

Scales and comparisons

• 40,082,437,417,467,904 seconds is equal to 1,274,497,526 years, 39 weeks, 2 days, 5 hours, 5 minutes, 4 seconds.
• To count from 1 to 40,082,437,417,467,904 would take you about three billion, eight hundred twenty-three million, four hundred ninety-two thousand, five hundred eighty 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 40082437417467904 cubic inches would be around 28519.2 feet tall.

Recreational maths with 40082437417467904

• 40082437417467904 backwards is 40976471473428004
• The number of decimal digits it has is: 17
• The sum of 40082437417467904's digits is 70
• More coming soon!