820941809485924016

Names of 820941809485924016

• Cardinal: 820941809485924016 can be written as Eight hundred twenty quadrillion, nine hundred forty-one trillion, eight hundred nine billion, four hundred eighty-five million, nine hundred twenty-four thousand and sixteen.

Scientific notation

• Scientific notation: 8.20941809485924016 × 10¹⁷

Factors of 820941809485924016

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 68296734

Divisors of 820941809485924016

• Number of divisors d(n): 30
• Complete list of divisors:
  1 2 4 8 11 16 22 44 88 176 68296721 136593442 273186884 546373768 751263931 1092747536 1502527862 3005055724 6010111448 12020222896 4664442099351841 9328884198703682 18657768397407364 37315536794814728 51308863092870251 74631073589629456 102617726185740502 205235452371481004 410470904742962008 820941809485924016
• Sum of all divisors σ(n): 1735172486365265436
• Sum of proper divisors (its aliquot sum) s(n): 914230676879341420
• 820941809485924016 is an abundant number, because the sum of its proper divisors (914230676879341420) is greater than itself. Its abundance is 93288867393417404

Bases of 820941809485924016

• Binary: 101101100100100100100011100111100111101011001100011010110000₂
• Hexadecimal: 0xB649239E7ACC6B0
• Base-36: 68JBL0V2IU28

Squares and roots of 820941809485924016

• 820941809485924016 squared (820941809485924016²) is 673945454562023162699292037325568256
• 820941809485924016 cubed (820941809485924016³) is 553270000962960879731981944445208913167677130437636096
• The square root of 820941809485924016 is 906058391.8743449373
• The cube root of 820941809485924016 is 936348.3684676531

Scales and comparisons

• 820,941,809,485,924,016 seconds is equal to 26,103,410,201 years, 47 weeks, 1 day, 11 hours, 46 minutes, 56 seconds.
• To count from 1 to 820,941,809,485,924,016 would take you about seventy-eight billion, three hundred ten million, two hundred thirty thousand, six hundred five 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 820941809485924016 cubic inches would be around 78029 feet tall.

Recreational maths with 820941809485924016

• 820941809485924016 backwards is 610429584908149028
• The number of decimal digits it has is: 18
• The sum of 820941809485924016's digits is 80
• More coming soon!