20828617247218800

Names of 20828617247218800

• Cardinal: 20828617247218800 can be written as Twenty quadrillion, eight hundred twenty-eight trillion, six hundred seventeen billion, two hundred forty-seven million, two hundred eighteen thousand, eight hundred.

Scientific notation

• Scientific notation: 2.08286172472188 × 10¹⁶

Factors of 20828617247218800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 146717460

Divisors of 20828617247218800

• Number of divisors d(n): 120
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 118399 236798 355197 473596 591995 710394 947192 1183990 1420788 1775985 1894384 2367980 2841576 2959975 3551970 4735960 5683152 5919950 7103940 8879925 9471920 11839900 14207880 17759850 23679800 28415760 35519700 47359600 71039400 142078800 146599051 293198102 439797153 586396204 732995255 879594306 1172792408 1465990510 1759188612 2198985765 2345584816 2931981020 3518377224 3664976275 4397971530 5863962040 7036754448 7329952550 8795943060 10994928825 11727924080 14659905100 17591886120 21989857650 29319810200 35183772240 43979715300 58639620400 87959430600 175918861200 17357181039349 34714362078698 52071543118047 69428724157396 86785905196745 104143086236094 138857448314792 173571810393490 208286172472188 260357715590235 277714896629584 347143620786980 416572344944376 433929525983725 520715431180470 694287241573960 833144689888752 867859051967450 1041430862360940 1301788577951175 1388574483147920 1735718103934900 2082861724721880 2603577155902350 3471436207869800 4165723449443760 5207154311804700 6942872415739600 10414308623609400 20828617247218800
• Sum of all divisors σ(n): 66721567897139200
• Sum of proper divisors (its aliquot sum) s(n): 45892950649920400
• 20828617247218800 is an abundant number, because the sum of its proper divisors (45892950649920400) is greater than itself. Its abundance is 25064333402701600

Bases of 20828617247218800

• Binary: 1001001111111111000010001011100001011101101110001110000₂
• Hexadecimal: 0x49FF845C2EDC70
• Base-36: 5P34MO2175C

Squares and roots of 20828617247218800

• 20828617247218800 squared (20828617247218800²) is 433831296431140461916335073440000
• 20828617247218800 cubed (20828617247218800³) is 9036106023228944060609256914750689733748672000000
• The square root of 20828617247218800 is 144321229.3712148227
• The cube root of 20828617247218800 is 275139.8396099749

Scales and comparisons

• 20,828,617,247,218,800 seconds is equal to 662,285,601 years, 16 weeks, 3 days, 20 hours, 20 minutes.
• To count from 1 to 20,828,617,247,218,800 would take you about one billion, nine hundred eighty-six million, eight hundred fifty-six thousand, eight hundred three 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 20828617247218800 cubic inches would be around 22928.3 feet tall.

Recreational maths with 20828617247218800

• 20828617247218800 backwards is 00881274271682802
• The number of decimal digits it has is: 17
• The sum of 20828617247218800's digits is 66
• More coming soon!