468321616992200400

468,321,616,992,200,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 468321616992200400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 9720 divisors.

468321616992200400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, seven hundred twenty divisors.

Prime factorization of 468321616992200400:

24 × 35 × 52 × 115 × 13 × 372 × 412

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 13 × 37 × 37 × 41 × 41)

See below for interesting mathematical facts about the number 468321616992200400 from the Numbermatics database.


Names of 468321616992200400

  • Cardinal: 468321616992200400 can be written as Four hundred sixty-eight quadrillion, three hundred twenty-one trillion, six hundred sixteen billion, nine hundred ninety-two million, two hundred thousand, four hundred.

Scientific notation

  • Scientific notation: 4.683216169922004 × 1017

Factors of 468321616992200400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 112

Divisors of 468321616992200400

Bases of 468321616992200400

  • Binary: 110011111111101000000000111100001010111010011100110110100002
  • Hexadecimal: 0x67FD0078574E6D0
  • Base-36: 3K3A5OQZBX00

Squares and roots of 468321616992200400

  • 468321616992200400 squared (4683216169922004002) is 219325136942189246432154433760160000
  • 468321616992200400 cubed (4683216169922004003) is 102714702779801855071023745965805289657164256064000000
  • The square root of 468321616992200400 is 684340278.6568977047
  • The cube root of 468321616992200400 is 776571.4169242577

Scales and comparisons

How big is 468321616992200400?
  • 468,321,616,992,200,400 seconds is equal to 14,891,178,806 years, 24 weeks, 5 days, 21 hours.
  • To count from 1 to 468,321,616,992,200,400 would take you about forty-four billion, six hundred seventy-three million, five hundred thirty-six thousand, four hundred nineteen 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 468321616992200400 cubic inches would be around 64714.3 feet tall.

Recreational maths with 468321616992200400

  • 468321616992200400 backwards is 004002299616123864
  • The number of decimal digits it has is: 18
  • The sum of 468321616992200400's digits is 63
  • More coming soon!

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"Number 468321616992200400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.

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Numbermatics. (2024). Number 468321616992200400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/468321616992200400/

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Numbermatics. 2024. "Number 468321616992200400 - Facts about the integer". https://numbermatics.com/n/468321616992200400/

The information we have on file for 468321616992200400 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 468321616992200400, math, Factors of 468321616992200400, curriculum, school, college, exams, university, Prime factorization of 468321616992200400, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight quadrillion, three hundred twenty-one trillion, six hundred sixteen billion, nine hundred ninety-two million, two hundred thousand, four hundred.

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