138589006414122863199

Names of 138589006414122863199

• Cardinal: 138589006414122863199 can be written as One hundred thirty-eight quintillion, five hundred eighty-nine quadrillion, six trillion, four hundred fourteen billion, one hundred twenty-two million, eight hundred sixty-three thousand, one hundred ninety-nine.

Scientific notation

• Scientific notation: 1.38589006414122863199 × 10²⁰

Factors of 138589006414122863199

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 29314869525036

Divisors of 138589006414122863199

• Number of divisors d(n): 24
• Complete list of divisors:
  1 3 9 37 111 333 14197 42591 127773 525289 1575867 4727601 29314869510799 87944608532397 263833825597191 1084650171899563 3253950515698689 9761851547096067 416183202444813403 1248549607334440209 3745648822003320627 15398778490458095911 46196335471374287733 138589006414122863199
• Sum of all divisors σ(n): 205608983553283169600
• Sum of proper divisors (its aliquot sum) s(n): 67019977139160306401
• 138589006414122863199 is a deficient number, because the sum of its proper divisors (67019977139160306401) is less than itself. Its deficiency is 71569029274962556798

Bases of 138589006414122863199

• Binary: 1111000001101001111000011110000111011000000001000000100101001011111₂
• Hexadecimal: 0x7834F0F0EC0204A5F
• Base-36: T8XMUMUV1D8PR

Squares and roots of 138589006414122863199

• 138589006414122863199 squared (138589006414122863199²) is 19206912698853788116744526212137668513601
• 138589006414122863199 cubed (138589006414122863199³) is 2661866947216945514496799024054629884238617421818796593869599
• The square root of 138589006414122863199 is 11772383208.7697036197
• The cube root of 138589006414122863199 is 5174990.9391938923

Scales and comparisons

• 138,589,006,414,122,863,199 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,589,006,414,122,863,199 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138589006414122863199 cubic inches would be around 431249.2 feet tall.

Recreational maths with 138589006414122863199

• 138589006414122863199 backwards is 991368221414600985831
• The number of decimal digits it has is: 21
• The sum of 138589006414122863199's digits is 90
• More coming soon!