820104965617112064

Names of 820104965617112064

• Cardinal: 820104965617112064 can be written as Eight hundred twenty quadrillion, one hundred four trillion, nine hundred sixty-five billion, six hundred seventeen million, one hundred twelve thousand and sixty-four.

Scientific notation

• Scientific notation: 8.20104965617112064 × 10¹⁷

Factors of 820104965617112064

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 88987083942834

Divisors of 820104965617112064

• Number of divisors d(n): 66
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 88987083942829 177974167885658 266961251828487 355948335771316 533922503656974 711896671542632 800883755485461 1067845007313948 1423793343085264 1601767510970922 2135690014627896 2847586686170528 3203535021941844 4271380029255792 5695173372341056 6407070043883688 8542760058511584 11390346744682112 12814140087767376 17085520117023168 22780693489364224 25628280175534752 34171040234046336 45561386978728448 51256560351069504 68342080468092672 91122773957456896 102513120702139008 136684160936185344 205026241404278016 273368321872370688 410052482808556032 820104965617112064
• Sum of all divisors σ(n): 2368035290802649130
• Sum of proper divisors (its aliquot sum) s(n): 1547930325185537066
• 820104965617112064 is an abundant number, because the sum of its proper divisors (1547930325185537066) is greater than itself. Its abundance is 727825359568425002

Bases of 820104965617112064

• Binary: 101101100001100110010001111100000010001001000101010000000000₂
• Hexadecimal: 0xB61991F02245400
• Base-36: 68B2Y43HP8G0

Squares and roots of 820104965617112064

• 820104965617112064 squared (820104965617112064²) is 672572154629844560676422819534340096
• 820104965617112064 cubed (820104965617112064³) is 551579763747735651921528645577611823027712775520518144
• The square root of 820104965617112064 is 905596469.5255343497
• The cube root of 820104965617112064 is 936030.0983276153

Scales and comparisons

• 820,104,965,617,112,064 seconds is equal to 26,076,801,155 years, 21 weeks, 1 day, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 820,104,965,617,112,064 would take you about seventy-eight billion, two hundred thirty million, four hundred three thousand, four hundred sixty-six 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 820104965617112064 cubic inches would be around 78002.5 feet tall.

Recreational maths with 820104965617112064

• 820104965617112064 backwards is 460211716569401028
• The number of decimal digits it has is: 18
• The sum of 820104965617112064's digits is 63
• More coming soon!