468132848036380800

468,132,848,036,380,800 is an even composite number composed of ten prime numbers multiplied together.

What does the number 468132848036380800 look like?

This visualization shows the relationship between its 10 prime factors (large circles) and 20736 divisors.

468132848036380800 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of twenty thousand, seven hundred thirty-six divisors.

Prime factorization of 468132848036380800:

27 × 32 × 52 × 72 × 13 × 19 × 312 × 37 × 107 × 353

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 19 × 31 × 31 × 37 × 107 × 353)

See below for interesting mathematical facts about the number 468132848036380800 from the Numbermatics database.


Names of 468132848036380800

  • Cardinal: 468132848036380800 can be written as Four hundred sixty-eight quadrillion, one hundred thirty-two trillion, eight hundred forty-eight billion, thirty-six million, three hundred eighty thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.681328480363808 × 1017

Factors of 468132848036380800

  • Number of distinct prime factors ω(n): 10
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 577

Divisors of 468132848036380800

Bases of 468132848036380800

  • Binary: 110011111110010010001011000010100101110011010000000100000002
  • Hexadecimal: 0x67F245852E68080
  • Base-36: 3K1F8THKWM80

Squares and roots of 468132848036380800

  • 468132848036380800 squared (4681328480363808002) is 219148363410653199034360362608640000
  • 468132848036380800 cubed (4681328480363808003) is 102590547505940868383836258309724610086712410112000000
  • The square root of 468132848036380800 is 684202344.3663291045
  • The cube root of 468132848036380800 is 776467.0639393705

Scales and comparisons

How big is 468132848036380800?
  • 468,132,848,036,380,800 seconds is equal to 14,885,176,537 years, 30 weeks, 2 days, 8 hours.
  • To count from 1 to 468,132,848,036,380,800 would take you about forty-four billion, six hundred fifty-five million, five hundred twenty-nine thousand, six hundred twelve 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 468132848036380800 cubic inches would be around 64705.6 feet tall.

Recreational maths with 468132848036380800

  • 468132848036380800 backwards is 008083630848231864
  • 468132848036380800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 468132848036380800's digits is 72
  • More coming soon!

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"Number 468132848036380800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.

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Numbermatics. (2024). Number 468132848036380800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/468132848036380800/

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Numbermatics. 2024. "Number 468132848036380800 - Facts about the integer". https://numbermatics.com/n/468132848036380800/

The information we have on file for 468132848036380800 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 468132848036380800, math, Factors of 468132848036380800, curriculum, school, college, exams, university, Prime factorization of 468132848036380800, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight quadrillion, one hundred thirty-two trillion, eight hundred forty-eight billion, thirty-six million, three hundred eighty thousand, eight hundred.

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