468628423678800

468,628,423,678,800 is an even composite number composed of eight prime numbers multiplied together.

What does the number 468628423678800 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 6480 divisors.

468628423678800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, four hundred eighty divisors.

Prime factorization of 468628423678800:

24 × 35 × 52 × 72 × 11 × 232 × 37 × 457

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 23 × 23 × 37 × 457)

See below for interesting mathematical facts about the number 468628423678800 from the Numbermatics database.


Names of 468628423678800

  • Cardinal: 468628423678800 can be written as Four hundred sixty-eight trillion, six hundred twenty-eight billion, four hundred twenty-three million, six hundred seventy-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.686284236788 × 1014

Factors of 468628423678800

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 545

Divisors of 468628423678800

Bases of 468628423678800

  • Binary: 11010101000110111000011101011100110011011010100002
  • Hexadecimal: 0x1AA370EB99B50
  • Base-36: 4M44XBTX00

Squares and roots of 468628423678800

  • 468628423678800 squared (4686284236788002) is 219612599479676876525569440000
  • 468628423678800 cubed (4686284236788003) is 102916706314164627722547989629749655872000000
  • The square root of 468628423678800 is 21647827.2276642119
  • The cube root of 468628423678800 is 77674.0962299777

Scales and comparisons

How big is 468628423678800?
  • 468,628,423,678,800 seconds is equal to 14,900,934 years, 16 weeks, 21 hours.
  • To count from 1 to 468,628,423,678,800 would take you about thirty-seven million, two hundred fifty-two thousand, three hundred thirty-five 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 468628423678800 cubic inches would be around 6472.8 feet tall.

Recreational maths with 468628423678800

  • 468628423678800 backwards is 008876324826864
  • 468628423678800 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 468628423678800's digits is 72
  • More coming soon!

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"Number 468628423678800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.

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Numbermatics. (2024). Number 468628423678800 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/468628423678800/

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The information we have on file for 468628423678800 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 468628423678800, math, Factors of 468628423678800, curriculum, school, college, exams, university, Prime factorization of 468628423678800, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight trillion, six hundred twenty-eight billion, four hundred twenty-three million, six hundred seventy-eight thousand, eight hundred.

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