137988021588319

Names of 137988021588319

• Cardinal: 137988021588319 can be written as One hundred thirty-seven trillion, nine hundred eighty-eight billion, twenty-one million, five hundred eighty-eight thousand, three hundred nineteen.

Scientific notation

• Scientific notation: 1.37988021588319 × 10¹⁴

Factors of 137988021588319

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 6189

Divisors of 137988021588319

• Number of divisors d(n): 42
• Complete list of divisors:
  1 7 31 49 217 343 1519 2401 6151 10633 16807 43057 74431 117649 190681 301399 521017 1334767 2109793 3647119 9343369 14768551 37834801 65403583 103379857 264843607 457825081 723658999 1172878831 1853905249 3204775567 8210151817 12977336743 22433428969 57471062719 90841357201 402297439033 635889500407 2816082073231 4451226502849 19712574512617 137988021588319
• Sum of all divisors σ(n): 166205941949472
• Sum of proper divisors (its aliquot sum) s(n): 28217920361153
• 137988021588319 is a deficient number, because the sum of its proper divisors (28217920361153) is less than itself. Its deficiency is 109770101227166

Bases of 137988021588319

• Binary: 11111010111111111010111000000101001000101011111₂
• Hexadecimal: 0x7D7FD702915F
• Base-36: 1CWUTLB3VJ

Squares and roots of 137988021588319

• 137988021588319 squared (137988021588319²) is 19040694101858390399517245761
• 137988021588319 cubed (137988021588319³) is 2627387708783813826786010479384615489865759
• The square root of 137988021588319 is 11746830.2783482405
• The cube root of 137988021588319 is 51674.9973057321

Scales and comparisons

• 137,988,021,588,319 seconds is equal to 4,387,592 years, 13 weeks, 4 days, 4 hours, 45 minutes, 19 seconds.
• To count from 1 to 137,988,021,588,319 would take you about ten million, nine hundred sixty-eight thousand, nine hundred eighty 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 137988021588319 cubic inches would be around 4306.2 feet tall.

Recreational maths with 137988021588319

• 137988021588319 backwards is 913885120889731
• The number of decimal digits it has is: 15
• The sum of 137988021588319's digits is 73
• More coming soon!