40960208976978900

Names of 40960208976978900

• Cardinal: 40960208976978900 can be written as Forty quadrillion, nine hundred sixty trillion, two hundred eight billion, nine hundred seventy-six million, nine hundred seventy-eight thousand, nine hundred.

Scientific notation

• Scientific notation: 4.09602089769789 × 10¹⁶

Factors of 40960208976978900

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 267189882523

Divisors of 40960208976978900

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 210 219 292 300 350 365 420 438 511 525 700 730 876 1022 1050 1095 1460 1533 1825 2044 2100 2190 2555 3066 3650 4380 5110 5475 6132 7300 7665 10220 10950 12775 15330 21900 25550 30660 38325 51100 76650 153300 267189882433 534379764866 801569647299 1068759529732 1335949412165 1603139294598 1870329177031 2671898824330 3206278589196 3740658354062 4007848236495 5343797648660 5610987531093 6679747060825 7481316708124 8015696472990 9351645885155 11221975062186 13359494121650 16031392945980 18703291770310 19504861417609 20039241182475 22443950124372 26718988243300 28054937655465 37406583540620 39009722835218 40078482364950 46758229425775 56109875310930 58514584252827 78019445670436 80156964729900 93516458851550 97524307088045 112219750621860 117029168505654 136534029923263 140274688277325 187032917703100 195048614176090 234058337011308 273068059846526 280549376554650 292572921264135 390097228352180 409602089769789 487621535440225 546136119693052 561098753109300 585145842528270 682670149616315 819204179539578 975243070880450 1170291685056540 1365340299232630 1462864606320675 1638408359079156 1950486141760900 2048010448848945 2730680598465260 2925729212641350 3413350748081575 4096020897697890 5851458425282700 6826701496163150 8192041795395780 10240052244244725 13653402992326300 20480104488489450 40960208976978900
• Sum of all divisors σ(n): 137297124228005504
• Sum of proper divisors (its aliquot sum) s(n): 96336915251026604
• 40960208976978900 is an abundant number, because the sum of its proper divisors (96336915251026604) is greater than itself. Its abundance is 55376706274047704

Bases of 40960208976978900

• Binary: 10010001100001010001011111010001111111111010001111010100₂
• Hexadecimal: 0x918517D1FFA3D4
• Base-36: B7B6K8FMXUC

Squares and roots of 40960208976978900

• 40960208976978900 squared (40960208976978900²) is 1677738719437782865710171045210000
• 40960208976978900 cubed (40960208976978900³) is 68720528556940557842058396307749630241116069000000
• The square root of 40960208976978900 is 202386286.5338926565
• The cube root of 40960208976978900 is 344710.1366375065

Scales and comparisons

• 40,960,208,976,978,900 seconds is equal to 1,302,407,947 years, 11 weeks, 4 days, 2 hours, 35 minutes.
• To count from 1 to 40,960,208,976,978,900 would take you about three billion, nine hundred seven million, two hundred twenty-three thousand, eight hundred forty-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 40960208976978900 cubic inches would be around 28725.8 feet tall.

Recreational maths with 40960208976978900

• 40960208976978900 backwards is 00987967980206904
• 40960208976978900 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40960208976978900's digits is 84
• More coming soon!