40940290367397216

Names of 40940290367397216

• Cardinal: 40940290367397216 can be written as Forty quadrillion, nine hundred forty trillion, two hundred ninety billion, three hundred sixty-seven million, three hundred ninety-seven thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.0940290367397216 × 10¹⁶

Factors of 40940290367397216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 408747

Divisors of 40940290367397216

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 173 174 232 261 288 346 348 464 519 522 692 696 928 1038 1044 1384 1392 1557 2076 2088 2768 2784 3114 4152 4176 5017 5536 6228 8304 8352 10034 12456 15051 16608 20068 24912 30102 40136 45153 49824 60204 80272 88547 90306 120408 160544 177094 180612 240816 265641 319993 354188 361224 481632 531282 639986 708376 722448 796923 959979 1062564 1279972 1416752 1444896 1593846 1919958 2125128 2559944 2567863 2833504 2879937 3187692 3839916 4250256 5119888 5135726 5759874 6375384 7679832 7703589 8500512 9279797 10239776 10271452 11519748 12750768 15318631 15359664 15407178 18559594 20542904 23039496 23110767 25501536 27839391 30637262 30719328 30814356 37119188 41085808 45955893 46078992 46221534 55358789 55678782 61274524 61628712 74238376 82171616 83518173 91911786 92157984 92443068 110717578 111357564 122549048 123257424 137867679 148476752 166076367 167036346 183823572 184886136 221435156 222715128 245098096 246514848 275735358 296953504 332152734 334072692 367647144 369772272 442870312 444240299 445430256 490196192 498229101 551470716 664305468 668145384 735294288 739544544 885740624 888480598 890860512 996458202 1102941432 1328610936 1332720897 1336290768 1470588576 1605404881 1771481248 1776961196 1992916404 2205882864 2657221872 2665441794 2672581536 3210809762 3553922392 3985832808 3998162691 4411765728 4816214643 5314443744 5330883588 6421619524 7107844784 7971665616 7996325382 9632429286 10661767176 12843239048 14215689568 14448643929 15943331232 15992650764 19264858572 21323534352 25686478096 28334420171 28897287858 31985301528 38529717144 42647068704 51372956192 56668840342 57794575716 63970603056 77059434288 85003260513 113337680684 115589151432 127941206112 154118868576 170006521026 226675361368 231178302864 255009781539 340013042052 453350722736 462356605728 510019563078 680026084104 821698184959 906701445472 1020039126156 1360052168208 1643396369918 2040078252312 2465094554877 2720104336416 3286792739836 4080156504624 4901854689583 4930189109754 6573585479672 7395283664631 8160313009248 9803709379166 9860378219508 13147170959344 14705564068749 14790567329262 19607418758332 19720756439016 26294341918688 29411128137498 29581134658524 39214837516664 39441512878032 44116692206247 58822256274996 59162269317048 78429675033328 78883025756064 88233384412494 117644512549992 118324538634096 142153785997907 156859350066656 176466768824988 235289025099984 236649077268192 284307571995814 352933537649976 426461357993721 470578050199968 568615143991628 705867075299952 852922715987442 1137230287983256 1279384073981163 1411734150599904 1705845431974884 2274460575966512 2558768147962326 3411690863949768 4548921151933024 5117536295924652 6823381727899536 10235072591849304 13646763455799072 20470145183698608 40940290367397216
• Sum of all divisors σ(n): 121136493012968160
• Sum of proper divisors (its aliquot sum) s(n): 80196202645570944
• 40940290367397216 is an abundant number, because the sum of its proper divisors (80196202645570944) is greater than itself. Its abundance is 39255912278173728

Bases of 40940290367397216

• Binary: 10010001011100101111101000101000010110011001110101100000₂
• Hexadecimal: 0x9172FA28599D60
• Base-36: B744DR1RX40

Squares and roots of 40940290367397216

• 40940290367397216 squared (40940290367397216²) is 1676107375366797271445994324550656
• 40940290367397216 cubed (40940290367397216³) is 68620322634452720091036023351112585521951465373696
• The square root of 40940290367397216 is 202337071.1644240835
• The cube root of 40940290367397216 is 344654.2510183799

Scales and comparisons

• 40,940,290,367,397,216 seconds is equal to 1,301,774,597 years, 2 weeks, 4 days, 8 hours, 33 minutes, 36 seconds.
• To count from 1 to 40,940,290,367,397,216 would take you about three billion, nine hundred five million, three hundred twenty-three thousand, seven hundred ninety-one 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 40940290367397216 cubic inches would be around 28721.2 feet tall.

Recreational maths with 40940290367397216

• 40940290367397216 backwards is 61279376309204904
• 40940290367397216 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40940290367397216's digits is 72
• More coming soon!