40357123997032448

Names of 40357123997032448

• Cardinal: 40357123997032448 can be written as Forty quadrillion, three hundred fifty-seven trillion, one hundred twenty-three billion, nine hundred ninety-seven million, thirty-two thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.0357123997032448 × 10¹⁶

Factors of 40357123997032448

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 219

Divisors of 40357123997032448

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 8 16 29 32 58 64 79 109 116 128 158 218 232 256 316 436 464 512 632 841 872 928 1024 1264 1682 1744 1856 2048 2291 2528 3161 3364 3488 3712 4096 4582 5056 6241 6322 6728 6976 7424 8192 8611 9164 10112 11881 12482 12644 13456 13952 14848 17222 18328 20224 23762 24964 25288 26912 27904 29696 34444 36656 40448 47524 49928 50576 53824 55808 59392 66439 68888 73312 80896 91669 95048 99856 101152 107648 111616 118784 132878 137776 146624 161792 180989 183338 190096 199712 202304 215296 223232 237568 249719 265756 275552 293248 323584 344549 361978 366676 380192 399424 404608 430592 446464 493039 499438 531512 551104 586496 647168 680269 689098 723956 733352 760384 798848 809216 861184 892928 938599 986078 998876 1063024 1102208 1172992 1360538 1378196 1447912 1466704 1520768 1597696 1618432 1722368 1877198 1972156 1997752 2126048 2204416 2345984 2721076 2756392 2895824 2933408 3041536 3195392 3236864 3444736 3754396 3944312 3995504 4252096 4408832 4691968 5248681 5442152 5512784 5791648 5866816 6083072 6390784 6473728 6889472 7241851 7508792 7888624 7991008 8504192 8817664 9383936 9991921 10497362 10884304 11025568 11583296 11733632 12166144 12781568 12947456 14298131 14483702 15017584 15777248 15982016 17008384 17635328 18767872 19727801 19983842 20994724 21768608 22051136 23166592 23467264 24332288 25563136 25894912 27219371 28596262 28967404 30035168 31554496 31964032 34016768 35270656 39455602 39967684 41989448 43537216 44102272 46333184 46934528 48664576 51126272 53741251 54438742 57192524 57934808 60070336 63108992 63928064 68033536 70541312 74149321 78911204 79935368 83978896 87074432 88204544 92666368 93869056 97329152 107482502 108877484 114385048 115869616 120140672 126217984 127856128 136067072 148298642 157822408 159870736 167957792 174148864 176409088 185332736 187738112 214965004 217754968 228770096 231739232 240281344 252435968 255712256 272134144 296597284 315644816 319741472 335915584 348297728 352818176 370665472 375476224 414645799 429930008 435509936 457540192 463478464 480562688 504871936 511424512 544268288 572106229 593194568 631289632 639482944 671831168 696595456 705636352 741330944 750952448 789361759 829291598 859860016 871019872 915080384 926956928 961125376 1009743872 1022849024 1144212458 1186389136 1262579264 1278965888 1343662336 1393190912 1411272704 1482661888 1558496279 1578723518 1658583196 1719720032 1742039744 1830160768 1853913856 1922250752 2019487744 2045698048 2150330309 2288424916 2372778272 2525158528 2557931776 2687324672 2786381824 2822545408 3116992558 3157447036 3317166392 3439440064 3484079488 3660321536 3707827712 3844501504 4038975488 4300660618 4576849832 4745556544 5050317056 5115863552 5374649344 5572763648 5857796359 6233985116 6314894072 6634332784 6878880128 6968158976 7320643072 7415655424 7689003008 8601321236 9153699664 9491113088 10100634112 10231727104 10749298688 11715592718 12467970232 12629788144 13268665568 13757760256 13936317952 14641286144 14831310848 17202642472 18307399328 18982226176 20201268224 20463454208 21498597376 23431185436 24935940464 25259576288 26537331136 27515520512 27872635904 29282572288 29662621696 34405284944 36614798656 37964452352 40402536448 40926908416 42997194752 45196392091 46862370872 49871880928 50519152576 53074662272 55031041024 55745271808 58565144576 59325243392 62359578961 68810569888 73229597312 75928904704 80805072896 81853816832 90392784182 93724741744 99743761856 101038305152 106149324544 110062082048 111490543616 117130289152 124719157922 137621139776 146459194624 151857809408 161610145792 169876094411 180785568364 187449483488 199487523712 202076610304 212298649088 220124164096 222981087232 249438315844 275242279552 292918389248 303715618816 339752188822 361571136728 374898966976 398975047424 404153220608 424597298176 440248328192 498876631688 550484559104 585836778496 607431237632 679504377644 723142273456 749797933952 797950094848 808306441216 849194596352 997753263376 1100969118208 1171673556992 1359008755288 1446284546912 1499595867904 1595900189696 1616612882432 1698389192704 1995506526752 2201938236416 2343347113984 2718017510576 2892569093824 2999191735808 3191800379392 3233225764864 3396778385408 3991013053504 4403876472832 4686694227968 4926406737919 5436035021152 5785138187648 5998383471616 6383600758784 6466451529728 7982026107008 8807752945664 9852813475838 10872070042304 11570276375296 11996766943232 12767201517568 15964052214016 17615505891328 19705626951676 21744140084608 23140552750592 23993533886464 31928104428032 39411253903352 43488280169216 46281105501184 47987067772928 63856208856064 78822507806704 86976560338432 92562211002368 127712417712128 157645015613408 173953120676864 185124422004736 255424835424256 315290031226816 347906241353728 370248844009472 510849670848512 630580062453632 695812482707456 1261160124907264 1391624965414912 2522320249814528 5044640499629056 10089280999258112 20178561998516224 40357123997032448
• Sum of all divisors σ(n): 85443836550115680
• Sum of proper divisors (its aliquot sum) s(n): 45086712553083232
• 40357123997032448 is an abundant number, because the sum of its proper divisors (45086712553083232) is greater than itself. Its abundance is 4729588556050784

Bases of 40357123997032448

• Binary: 10001111011000001001011100100111111111111110000000000000₂
• Hexadecimal: 0x8F609727FFE000
• Base-36: B1DEMTHRPQ8

Squares and roots of 40357123997032448

• 40357123997032448 squared (40357123997032448²) is 1628697457311852271927910364872704
• 40357123997032448 cubed (40357123997032448³) is 65729545238385884411035695822788745284197277499392
• The square root of 40357123997032448 is 200890826.0648864175
• The cube root of 40357123997032448 is 343009.9643710341

Scales and comparisons

• 40,357,123,997,032,448 seconds is equal to 1,283,231,710 years, 16 weeks, 6 days, 5 hours, 54 minutes, 8 seconds.
• To count from 1 to 40,357,123,997,032,448 would take you about three billion, eight hundred forty-nine million, six hundred ninety-five thousand, one hundred thirty 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 40357123997032448 cubic inches would be around 28584.2 feet tall.

Recreational maths with 40357123997032448

• 40357123997032448 backwards is 84423079932175304
• The number of decimal digits it has is: 17
• The sum of 40357123997032448's digits is 71
• More coming soon!