138688789913374790947

Names of 138688789913374790947

• Cardinal: 138688789913374790947 can be written as One hundred thirty-eight quintillion, six hundred eighty-eight quadrillion, seven hundred eighty-nine trillion, nine hundred thirteen billion, three hundred seventy-four million, seven hundred ninety thousand, nine hundred forty-seven.

Scientific notation

• Scientific notation: 1.38688789913374790947 × 10²⁰

Factors of 138688789913374790947

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 2480439073442283

Divisors of 138688789913374790947

• Number of divisors d(n): 32
• Complete list of divisors:
  1 11 13 17 23 143 187 221 253 299 391 2431 3289 4301 5083 55913 2480439073442219 27284829807864409 32245707954748847 42167464248517723 57050098689171037 354702787502237317 463842106733694953 548177035230730399 627551085580881407 741651282959223481 969851677715907629 6029947387538034389 8158164112551458291 10668368454874983919 12608071810306799177 138688789913374790947
• Sum of all divisors σ(n): 180020346194142558720
• Sum of proper divisors (its aliquot sum) s(n): 41331556280767767773
• 138688789913374790947 is a deficient number, because the sum of its proper divisors (41331556280767767773) is less than itself. Its deficiency is 97357233632607023174

Bases of 138688789913374790947

• Binary: 1111000010010110001100011111001111100011011011110111001010100100011₂
• Hexadecimal: 0x784B18F9F1B7B9523
• Base-36: T9OXCXLLAD15V

Squares and roots of 138688789913374790947

• 138688789913374790947 squared (138688789913374790947²) is 19234580447636209153388695103475953156809
• 138688789913374790947 cubed (138688789913374790947³) is 2667620686774124655347169585975276880709038561942985084608123
• The square root of 138688789913374790947 is 11776620479.2960357565
• The cube root of 138688789913374790947 is 5176232.6317765229

Scales and comparisons

• 138,688,789,913,374,790,947 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,688,789,913,374,790,947 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 138688789913374790947 cubic inches would be around 431352.7 feet tall.

Recreational maths with 138688789913374790947

• 138688789913374790947 backwards is 749097473319987886831
• The number of decimal digits it has is: 21
• The sum of 138688789913374790947's digits is 121
• More coming soon!