820104252448601742

Names of 820104252448601742

• Cardinal: 820104252448601742 can be written as Eight hundred twenty quadrillion, one hundred four trillion, two hundred fifty-two billion, four hundred forty-eight million, six hundred one thousand, seven hundred forty-two.

Scientific notation

• Scientific notation: 8.20104252448601742 × 10¹⁷

Factors of 820104252448601742

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 311305661008

Divisors of 820104252448601742

• Number of divisors d(n): 32
• Complete list of divisors:
  1 2 3 6 599 733 1198 1466 1797 2199 3594 4398 439067 878134 1317201 2634402 311305659671 622611319342 933916979013 1867833958026 186472090142929 228187048538843 372944180285858 456374097077686 559416270428787 684561145616529 1118832540857574 1369122291233058 136684042074766957 273368084149533914 410052126224300871 820104252448601742
• Sum of all divisors σ(n): 1645188150234585600
• Sum of proper divisors (its aliquot sum) s(n): 825083897785983858
• 820104252448601742 is an abundant number, because the sum of its proper divisors (825083897785983858) is greater than itself. Its abundance is 4979645337382116

Bases of 820104252448601742

• Binary: 101101100001100110000111100011110101111111000111011010001110₂
• Hexadecimal: 0xB619878F5FC768E
• Base-36: 68B2P0GZL026

Squares and roots of 820104252448601742

• 820104252448601742 squared (820104252448601742²) is 672570984884279896338857490925434564
• 820104252448601742 cubed (820104252448601742³) is 551578324777142186383359891043191193603065265517410488
• The square root of 820104252448601742 is 905596075.7692149705
• The cube root of 820104252448601742 is 936029.8270016215

Scales and comparisons

• 820,104,252,448,601,742 seconds is equal to 26,076,778,478 years, 44 weeks, 3 days, 6 hours, 15 minutes, 42 seconds.
• To count from 1 to 820,104,252,448,601,742 would take you about seventy-eight billion, two hundred thirty million, three hundred thirty-five thousand, four hundred thirty-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 820104252448601742 cubic inches would be around 78002.5 feet tall.

Recreational maths with 820104252448601742

• 820104252448601742 backwards is 247106844252401028
• The number of decimal digits it has is: 18
• The sum of 820104252448601742's digits is 60
• More coming soon!