137085196478968800

137,085,196,478,968,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 137085196478968800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 2916 divisors.

137085196478968800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.

Prime factorization of 137085196478968800:

25 × 32 × 52 × 31 × 372 × 592 × 3592

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 37 × 37 × 59 × 59 × 359 × 359)

See below for interesting mathematical facts about the number 137085196478968800 from the Numbermatics database.


Names of 137085196478968800

  • Cardinal: 137085196478968800 can be written as One hundred thirty-seven quadrillion, eighty-five trillion, one hundred ninety-six billion, four hundred seventy-eight million, nine hundred sixty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.370851964789688 × 1017

Factors of 137085196478968800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 16
  • Sum of prime factors: 496

Divisors of 137085196478968800

Bases of 137085196478968800

  • Binary: 1111001110000011001000010100010000001011111110011111000002
  • Hexadecimal: 0x1E706428817F3E0
  • Base-36: 11HSN9V8OXK0

Squares and roots of 137085196478968800

  • 137085196478968800 squared (1370851964789688002) is 18792351093677479881180711373440000
  • 137085196478968800 cubed (1370851964789688003) is 2576153141978541542815104655760719503922908672000000
  • The square root of 137085196478968800 is 370250180.9303660557
  • The cube root of 137085196478968800 is 515620.5125957361

Scales and comparisons

How big is 137085196478968800?
  • 137,085,196,478,968,800 seconds is equal to 4,358,885,215 years, 35 weeks, 1 day, 14 hours.
  • To count from 1 to 137,085,196,478,968,800 would take you about thirteen billion, seventy-six million, six hundred fifty-five thousand, six hundred forty-seven 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 137085196478968800 cubic inches would be around 42968.4 feet tall.

Recreational maths with 137085196478968800

  • 137085196478968800 backwards is 008869874691580731
  • 137085196478968800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 137085196478968800's digits is 90
  • More coming soon!

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"Number 137085196478968800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.

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Numbermatics. (2024). Number 137085196478968800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/137085196478968800/

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The information we have on file for 137085196478968800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 137085196478968800, math, Factors of 137085196478968800, curriculum, school, college, exams, university, Prime factorization of 137085196478968800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, eighty-five trillion, one hundred ninety-six billion, four hundred seventy-eight million, nine hundred sixty-eight thousand, eight hundred.

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