40968915200417792

Names of 40968915200417792

• Cardinal: 40968915200417792 can be written as Forty quadrillion, nine hundred sixty-eight trillion, nine hundred fifteen billion, two hundred million, four hundred seventeen thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 4.0968915200417792 × 10¹⁶

Factors of 40968915200417792

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 358

Divisors of 40968915200417792

• Number of divisors d(n): 392
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 349 392 448 512 686 698 784 896 1024 1372 1396 1568 1792 2048 2401 2443 2744 2792 3136 3584 4096 4802 4886 5488 5584 6272 7168 8192 9604 9772 10976 11168 12544 14336 16807 17101 19208 19544 21952 22336 25088 28672 33614 34202 38416 39088 43904 44672 50176 57344 67228 68404 76832 78176 87808 89344 100352 117649 119707 121801 134456 136808 153664 156352 175616 178688 200704 235298 239414 243602 268912 273616 307328 312704 351232 357376 401408 470596 478828 487204 537824 547232 614656 625408 702464 714752 837949 852607 941192 957656 974408 1075648 1094464 1229312 1250816 1404928 1429504 1675898 1705214 1882384 1915312 1948816 2151296 2188928 2458624 2501632 2809856 2859008 3351796 3410428 3764768 3830624 3897632 4302592 4377856 4917248 5003264 5865643 5968249 6703592 6820856 7529536 7661248 7795264 8605184 8755712 9834496 10006528 11731286 11936498 13407184 13641712 15059072 15322496 15590528 17210368 17511424 19668992 20013056 23462572 23872996 26814368 27283424 30118144 30644992 31181056 34420736 35022848 41059501 41777743 42508549 46925144 47745992 53628736 54566848 60236288 61289984 62362112 68841472 70045696 82119002 83555486 85017098 93850288 95491984 107257472 109133696 120472576 122579968 124724224 137682944 140091392 164238004 167110972 170034196 187700576 190983968 214514944 218267392 240945152 245159936 249448448 292444201 297559843 328476008 334221944 340068392 375401152 381967936 429029888 436534784 481890304 490319872 498896896 584888402 595119686 656952016 668443888 680136784 750802304 763935872 858059776 873069568 963780608 980639744 997793792 1169776804 1190239372 1313904032 1336887776 1360273568 1501604608 1527871744 1716119552 1746139136 2047109407 2082918901 2339553608 2380478744 2627808064 2673775552 2720547136 3003209216 3055743488 3432239104 3492278272 4094218814 4165837802 4679107216 4760957488 5255616128 5347551104 5441094272 6006418432 6111486976 6864478208 6984556544 8188437628 8331675604 9358214432 9521914976 10511232256 10695102208 10882188544 12012836864 12222973952 14329765849 14580432307 16376875256 16663351208 18716428864 19043829952 21022464512 21390204416 21764377088 24025673728 24445947904 28659531698 29160864614 32753750512 33326702416 37432857728 38087659904 42044929024 42780408832 43528754176 48051347456 48891895808 57319063396 58321729228 65507501024 66653404832 74865715456 76175319808 84089858048 85560817664 87057508352 102063026149 114638126792 116643458456 131015002048 133306809664 149731430912 152350639616 168179716096 171121635328 174115016704 204126052298 229276253584 233286916912 262030004096 266613619328 299462861824 304701279232 336359432192 342243270656 348230033408 408252104596 458552507168 466573833824 524060008192 533227238656 598925723648 609402558464 714441183043 816504209192 917105014336 933147667648 1048120016384 1066454477312 1197851447296 1218805116928 1428882366086 1633008418384 1834210028672 1866295335296 2096240032768 2132908954624 2395702894592 2437610233856 2857764732172 3266016836768 3668420057344 3732590670592 4192480065536 4265817909248 5001088281301 5715529464344 6532033673536 7336840114688 7465181341184 8384960131072 8531635818496 10002176562602 11431058928688 13064067347072 14673680229376 14930362682368 16769920262144 17063271636992 20004353125204 22862117857376 26128134694144 29347360458752 29860725364736 40008706250408 45724235714752 52256269388288 58694720917504 59721450729472 80017412500816 91448471429504 104512538776576 117389441835008 119442901458944 160034825001632 182896942859008 209025077553152 320069650003264 365793885718016 418050155106304 640139300006528 731587771436032 836100310212608 1280278600013056 1463175542872064 2560557200026112 2926351085744128 5121114400052224 5852702171488256 10242228800104448 20484457600208896 40968915200417792
• Sum of all divisors σ(n): 95862863480531700
• Sum of proper divisors (its aliquot sum) s(n): 54893948280113908
• 40968915200417792 is an abundant number, because the sum of its proper divisors (54893948280113908) is greater than itself. Its abundance is 13925033079696116

Bases of 40968915200417792

• Binary: 10010001100011010000001011100101010110101010000000000000₂
• Hexadecimal: 0x918D02E55AA000
• Base-36: B7E9NTGA8ZK

Squares and roots of 40968915200417792

• 40968915200417792 squared (40968915200417792²) is 1678452012699024010038651350155264
• 40968915200417792 cubed (40968915200417792³) is 68764358176236881613327006526078585874496868057088
• The square root of 40968915200417792 is 202407794.3173577295
• The cube root of 40968915200417792 is 344734.5579880357

Scales and comparisons

• 40,968,915,200,417,792 seconds is equal to 1,302,684,778 years, 10 weeks, 2 days, 2 hours, 16 minutes, 32 seconds.
• To count from 1 to 40,968,915,200,417,792 would take you about three billion, nine hundred eight million, fifty-four thousand, three hundred thirty-four 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 40968915200417792 cubic inches would be around 28727.9 feet tall.

Recreational maths with 40968915200417792

• 40968915200417792 backwards is 29771400251986904
• The number of decimal digits it has is: 17
• The sum of 40968915200417792's digits is 74
• More coming soon!