468142462990125000

468,142,462,990,125,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 468142462990125000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 10752 divisors.

468142462990125000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ten thousand, seven hundred fifty-two divisors.

Prime factorization of 468142462990125000:

23 × 37 × 56 × 73 × 115 × 31

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 31)

See below for interesting mathematical facts about the number 468142462990125000 from the Numbermatics database.


Names of 468142462990125000

  • Cardinal: 468142462990125000 can be written as Four hundred sixty-eight quadrillion, one hundred forty-two trillion, four hundred sixty-two billion, nine hundred ninety million, one hundred twenty-five thousand.

Scientific notation

  • Scientific notation: 4.68142462990125 × 1017

Factors of 468142462990125000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 25
  • Sum of prime factors: 59

Divisors of 468142462990125000

Bases of 468142462990125000

  • Binary: 110011111110010110100010110111110101100110110000111110010002
  • Hexadecimal: 0x67F2D16FACD87C8
  • Base-36: 3K1INIJC44I0

Squares and roots of 468142462990125000

  • 468142462990125000 squared (4681424629901250002) is 219157365654460555355847515625000000
  • 468142462990125000 cubed (4681424629901250003) is 102596868939906592334796499432979490158203125000000000
  • The square root of 468142462990125000 is 684209370.7266256083
  • The cube root of 468142462990125000 is 776472.3798404891

Scales and comparisons

How big is 468142462990125000?
  • 468,142,462,990,125,000 seconds is equal to 14,885,482,263 years, 19 weeks, 2 days, 4 hours, 30 minutes.
  • To count from 1 to 468,142,462,990,125,000 would take you about forty-four billion, six hundred fifty-six million, four hundred forty-six thousand, seven hundred ninety 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 468142462990125000 cubic inches would be around 64706 feet tall.

Recreational maths with 468142462990125000

  • 468142462990125000 backwards is 000521099264241864
  • 468142462990125000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 468142462990125000's digits is 63
  • More coming soon!

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"Number 468142462990125000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.

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Numbermatics. (2024). Number 468142462990125000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/468142462990125000/

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The information we have on file for 468142462990125000 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 468142462990125000, math, Factors of 468142462990125000, curriculum, school, college, exams, university, Prime factorization of 468142462990125000, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight quadrillion, one hundred forty-two trillion, four hundred sixty-two billion, nine hundred ninety million, one hundred twenty-five thousand.

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