131972046048460800

131,972,046,048,460,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 131972046048460800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 10800 divisors.

131972046048460800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of ten thousand, eight hundred divisors.

Prime factorization of 131972046048460800:

224 × 38 × 52 × 7 × 13 × 17 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 17 × 31)

See below for interesting mathematical facts about the number 131972046048460800 from the Numbermatics database.


Names of 131972046048460800

  • Cardinal: 131972046048460800 can be written as One hundred thirty-one quadrillion, nine hundred seventy-two trillion, forty-six billion, forty-eight million, four hundred sixty thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.319720460484608 × 1017

Factors of 131972046048460800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 38
  • Sum of prime factors: 78

Divisors of 131972046048460800

Bases of 131972046048460800

  • Binary: 1110101001101101111100000011011010000000000000000000000002
  • Hexadecimal: 0x1D4DBE06D000000
  • Base-36: 103G6OZK0000

Squares and roots of 131972046048460800

  • 131972046048460800 squared (1319720460484608002) is 17416620938217057855942049136640000
  • 131972046048460800 cubed (1319720460484608003) is 2298507100466968101311794679340150820240883712000000
  • The square root of 131972046048460800 is 363279570.0950726461
  • The cube root of 131972046048460800 is 509128.3921173405

Scales and comparisons

How big is 131972046048460800?
  • 131,972,046,048,460,800 seconds is equal to 4,196,302,848 years.
  • To count from 1 to 131,972,046,048,460,800 would take you about twelve billion, five hundred eighty-eight million, nine hundred eight thousand, five hundred forty-four 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 131972046048460800 cubic inches would be around 42427.4 feet tall.

Recreational maths with 131972046048460800

  • 131972046048460800 backwards is 008064840640279131
  • 131972046048460800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 131972046048460800's digits is 63
  • More coming soon!

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"Number 131972046048460800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.

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Numbermatics. (2024). Number 131972046048460800 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/131972046048460800/

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The information we have on file for 131972046048460800 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 131972046048460800, math, Factors of 131972046048460800, curriculum, school, college, exams, university, Prime factorization of 131972046048460800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, nine hundred seventy-two trillion, forty-six billion, forty-eight million, four hundred sixty thousand, eight hundred.

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