813825468131232972800

813,825,468,131,232,972,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 813825468131232972800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 5346 divisors.

813825468131232972800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, three hundred forty-six divisors.

Prime factorization of 813825468131232972800:

221 × 52 × 72 × 112 × 192 × 26932

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 19 × 19 × 2693 × 2693)

See below for interesting mathematical facts about the number 813825468131232972800 from the Numbermatics database.


Names of 813825468131232972800

  • Cardinal: 813825468131232972800 can be written as Eight hundred thirteen quintillion, eight hundred twenty-five quadrillion, four hundred sixty-eight trillion, one hundred thirty-one billion, two hundred thirty-two million, nine hundred seventy-two thousand, eight hundred.

Scientific notation

  • Scientific notation: 8.138254681312329728 × 1020

Factors of 813825468131232972800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 31
  • Sum of prime factors: 2737

Divisors of 813825468131232972800

Bases of 813825468131232972800

  • Binary: 10110000011110000110001101111101101110111010000010000000000000000000002
  • Hexadecimal: 0x2C1E18DF6EE8200000
  • Base-36: 4RR2BFIWKD0PVK

Squares and roots of 813825468131232972800

  • 813825468131232972800 squared (8138254681312329728002) is 662311892579020495029204633949925539840000
  • 813825468131232972800 cubed (8138254681312329728003) is 539006286027004239932673253366876987958225180051848036352000000
  • The square root of 813825468131232972800 is 28527626401.9850234157
  • The cube root of 813825468131232972800 is 9336349.3143593491

Scales and comparisons

How big is 813825468131232972800?
  • 813,825,468,131,232,972,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 813,825,468,131,232,972,800 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 813825468131232972800 cubic inches would be around 778029.1 feet tall.

Recreational maths with 813825468131232972800

  • 813825468131232972800 backwards is 008279232131864528318
  • The number of decimal digits it has is: 21
  • The sum of 813825468131232972800's digits is 83
  • More coming soon!

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"Number 813825468131232972800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.

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The information we have on file for 813825468131232972800 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 813825468131232972800, math, Factors of 813825468131232972800, curriculum, school, college, exams, university, Prime factorization of 813825468131232972800, STEM, science, technology, engineering, physics, economics, calculator, eight hundred thirteen quintillion, eight hundred twenty-five quadrillion, four hundred sixty-eight trillion, one hundred thirty-one billion, two hundred thirty-two million, nine hundred seventy-two thousand, eight hundred.

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