40545761594680800

Names of 40545761594680800

• Cardinal: 40545761594680800 can be written as Forty quadrillion, five hundred forty-five trillion, seven hundred sixty-one billion, five hundred ninety-four million, six hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.05457615946808 × 10¹⁶

Factors of 40545761594680800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 181656638010

Divisors of 40545761594680800

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 72 75 80 90 93 96 100 120 124 144 150 155 160 180 186 200 225 240 248 279 288 300 310 360 372 400 450 465 480 496 558 600 620 720 744 775 800 900 930 992 1116 1200 1240 1395 1440 1488 1550 1800 1860 2232 2325 2400 2480 2790 2976 3100 3600 3720 4464 4650 4960 5580 6200 6975 7200 7440 8928 9300 11160 12400 13950 14880 18600 22320 24800 27900 37200 44640 55800 74400 111600 223200 181656637969 363313275938 544969913907 726626551876 908283189845 1089939827814 1453253103752 1634909741721 1816566379690 2179879655628 2724849569535 2906506207504 3269819483442 3633132759380 4359759311256 4541415949225 5449699139070 5631355777039 5813012415008 6539638966884 7266265518760 8174548708605 8719518622512 9082831898450 10899398278140 11262711554078 13079277933768 13624247847675 14532531037520 16349097417210 16894067331117 17439037245024 18165663796900 21798796556280 22525423108156 26158555867536 27248495695350 28156778885195 29065062075040 32698194834420 33788134662234 36331327593800 40872743543025 43597593112560 45050846216312 50682201993351 52317111735072 54496991390700 56313557770390 65396389668840 67576269324468 72662655187600 81745487086050 84470336655585 87195186225120 90101692432624 101364403986702 108993982781400 112627115540780 130792779337680 135152538648936 140783894425975 145325310375200 163490974172100 168940673311170 180203384865248 202728807973404 217987965562800 225254231081560 253411009966755 261585558675360 270305077297872 281567788851950 326981948344200 337881346622340 405457615946808 422351683277925 435975931125600 450508462163120 506822019933510 540610154595744 563135577703900 653963896688400 675762693244680 810915231893616 844703366555850 901016924326240 1013644039867020 1126271155407800 1267055049833775 1307927793376800 1351525386489360 1621830463787232 1689406733111700 2027288079734040 2252542310815600 2534110099667550 2703050772978720 3378813466223400 4054576159468080 4505084621631200 5068220199335100 6757626932446800 8109152318936160 10136440398670200 13515253864893600 20272880797340400 40545761594680800
• Sum of all divisors σ(n): 147586572205450560
• Sum of proper divisors (its aliquot sum) s(n): 107040810610769760
• 40545761594680800 is an abundant number, because the sum of its proper divisors (107040810610769760) is greater than itself. Its abundance is 66495049016088960

Bases of 40545761594680800

• Binary: 10010000000011000010011111000100111111111010010111100000₂
• Hexadecimal: 0x900C27C4FFA5E0
• Base-36: B389TQGXIW0

Squares and roots of 40545761594680800

• 40545761594680800 squared (40545761594680800²) is 1643958783292692529822853888640000
• 40545761594680800 cubed (40545761594680800³) is 66655560898867028776207833895796663819546112000000
• The square root of 40545761594680800 is 201359781.4725691443
• The cube root of 40545761594680800 is 343543.5671653809

Scales and comparisons

• 40,545,761,594,680,800 seconds is equal to 1,289,229,802 years, 22 weeks, 4 days, 14 hours.
• To count from 1 to 40,545,761,594,680,800 would take you about three billion, eight hundred sixty-seven million, six hundred eighty-nine thousand, four hundred seven 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 40545761594680800 cubic inches would be around 28628.6 feet tall.

Recreational maths with 40545761594680800

• 40545761594680800 backwards is 00808649516754504
• 40545761594680800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40545761594680800's digits is 72
• More coming soon!