99999999999999

Names of 99999999999999

• Cardinal: 99999999999999 can be written as Ninety-nine trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine.

Scientific notation

• Scientific notation: 9.9999999999999 × 10¹³

Factors of 99999999999999

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 913993

Divisors of 99999999999999

• Number of divisors d(n): 48
• Complete list of divisors:
  1 3 9 11 33 99 239 717 2151 2629 4649 7887 13947 23661 41841 51139 153417 460251 909091 1111111 2727273 3333333 8181819 9999999 10000001 12222221 30000003 36666663 90000009 109999989 217272749 651818247 1955454741 2390000239 4226364059 7170000717 12679092177 21510002151 38037276531 46490004649 139470013947 418410041841 1010101010101 3030303030303 9090909090909 11111111111111 33333333333333 99999999999999
• Sum of all divisors σ(n): 158269280832000
• Sum of proper divisors (its aliquot sum) s(n): 58269280832001
• 99999999999999 is a deficient number, because the sum of its proper divisors (58269280832001) is less than itself. Its deficiency is 41730719167998

Bases of 99999999999999

• Binary: 10110101111001100010000011110100011111111111111₂
• Hexadecimal: 0x5AF3107A3FFF
• Base-36: ZG3D62R5R

Squares and roots of 99999999999999

• 99999999999999 squared (99999999999999²) is 9999999999999800000000000001
• 99999999999999 cubed (99999999999999³) is 999999999999970000000000000299999999999999
• The square root of 99999999999999 is 9999999.9999999500
• The cube root of 99999999999999 is 46415.8883361277

Scales and comparisons

• 99,999,999,999,999 seconds is equal to 3,179,690 years, 35 weeks, 2 days, 9 hours, 46 minutes, 39 seconds.
• To count from 1 to 99,999,999,999,999 would take you about seven million, nine hundred forty-nine thousand, two hundred twenty-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 99999999999999 cubic inches would be around 3868 feet tall.

Recreational maths with 99999999999999

• 99999999999999 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 14
• The sum of 99999999999999's digits is 126
• More coming soon!