385716331728000

385,716,331,728,000 is an even composite number composed of eight prime numbers multiplied together.

What does the number 385716331728000 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 6144 divisors.

385716331728000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, one hundred forty-four divisors.

Prime factorization of 385716331728000:

27 × 33 × 53 × 72 × 13 × 17 × 41 × 2011

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 41 × 2011)

See below for interesting mathematical facts about the number 385716331728000 from the Numbermatics database.


Names of 385716331728000

  • Cardinal: 385716331728000 can be written as Three hundred eighty-five trillion, seven hundred sixteen billion, three hundred thirty-one million, seven hundred twenty-eight thousand.

Scientific notation

  • Scientific notation: 3.85716331728 × 1014

Factors of 385716331728000

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 2099

Divisors of 385716331728000

Bases of 385716331728000

  • Binary: 10101111011001110100101001110111111001100100000002
  • Hexadecimal: 0x15ECE94EFCC80
  • Base-36: 3SQ3MX0DC0

Squares and roots of 385716331728000

  • 385716331728000 squared (3857163317280002) is 148777088561704539465984000000
  • 385716331728000 cubed (3857163317280003) is 57385752845192462541784952515940352000000000
  • The square root of 385716331728000 is 19639662.2101297861
  • The cube root of 385716331728000 is 72792.9538052117

Scales and comparisons

How big is 385716331728000?
  • 385,716,331,728,000 seconds is equal to 12,264,586 years, 13 weeks.
  • To count from 1 to 385,716,331,728,000 would take you about thirty million, six hundred sixty-one thousand, four hundred sixty-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 385716331728000 cubic inches would be around 6066.1 feet tall.

Recreational maths with 385716331728000

  • 385716331728000 backwards is 000827133617583
  • 385716331728000 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 385716331728000's digits is 54
  • More coming soon!

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"Number 385716331728000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.

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Numbermatics. (2024). Number 385716331728000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/385716331728000/

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Numbermatics. 2024. "Number 385716331728000 - Facts about the integer". https://numbermatics.com/n/385716331728000/

The information we have on file for 385716331728000 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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