328188967968768000

328,188,967,968,768,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 328188967968768000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 4896 divisors.

328188967968768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, eight hundred ninety-six divisors.

Prime factorization of 328188967968768000:

216 × 3 × 53 × 372 × 41 × 53 × 672

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 41 × 53 × 67 × 67)

See below for interesting mathematical facts about the number 328188967968768000 from the Numbermatics database.


Names of 328188967968768000

  • Cardinal: 328188967968768000 can be written as Three hundred twenty-eight quadrillion, one hundred eighty-eight trillion, nine hundred sixty-seven billion, nine hundred sixty-eight million, seven hundred sixty-eight thousand.

Scientific notation

  • Scientific notation: 3.28188967968768 × 1017

Factors of 328188967968768000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 26
  • Sum of prime factors: 208

Divisors of 328188967968768000

Bases of 328188967968768000

  • Binary: 100100011011111011000100000101001101111101100000000000000002
  • Hexadecimal: 0x48DF620A6FB0000
  • Base-36: 2HRHA2ICK2YO

Squares and roots of 328188967968768000

  • 328188967968768000 squared (3281889679687680002) is 107707998696405028303823437824000000
  • 328188967968768000 cubed (3281889679687680003) is 35348576934154575333756482669685712021880832000000000
  • The square root of 328188967968768000 is 572877794.9691958517
  • The cube root of 328188967968768000 is 689775.8622053375

Scales and comparisons

How big is 328188967968768000?
  • 328,188,967,968,768,000 seconds is equal to 10,435,394,026 years, 14 weeks, 2 days, 10 hours, 40 minutes.
  • To count from 1 to 328,188,967,968,768,000 would take you about thirty-one billion, three hundred six million, one hundred eighty-two thousand and seventy-eight 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 328188967968768000 cubic inches would be around 57481.3 feet tall.

Recreational maths with 328188967968768000

  • 328188967968768000 backwards is 000867869769881823
  • 328188967968768000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 328188967968768000's digits is 96
  • More coming soon!

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"Number 328188967968768000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.

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Numbermatics. (2024). Number 328188967968768000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/328188967968768000/

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The information we have on file for 328188967968768000 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!

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