40481368680916800

40,481,368,680,916,800 is an even composite number composed of ten prime numbers multiplied together.

What does the number 40481368680916800 look like?

This visualization shows the relationship between its 10 prime factors (large circles) and 18144 divisors.

40481368680916800 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of eighteen thousand, one hundred forty-four divisors.

Prime factorization of 40481368680916800:

26 × 32 × 52 × 72 × 13 × 17 × 192 × 29 × 137 × 181

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 17 × 19 × 19 × 29 × 137 × 181)

See below for interesting mathematical facts about the number 40481368680916800 from the Numbermatics database.


Names of 40481368680916800

  • Cardinal: 40481368680916800 can be written as Forty quadrillion, four hundred eighty-one trillion, three hundred sixty-eight billion, six hundred eighty million, nine hundred sixteen thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.04813686809168 × 1016

Factors of 40481368680916800

  • Number of distinct prime factors ω(n): 10
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 413

Divisors of 40481368680916800

Bases of 40481368680916800

  • Binary: 100011111101000110010111001000000011111101100111010000002
  • Hexadecimal: 0x8FD197203F6740
  • Base-36: B2LG41ENGW0

Squares and roots of 40481368680916800

  • 40481368680916800 squared (404813686809168002) is 1638741210280311580012488522240000
  • 40481368680916800 cubed (404813686809168003) is 66338487105969097157343856529621268920389632000000
  • The square root of 40481368680916800 is 201199822.7656197515
  • The cube root of 40481368680916800 is 343361.6041052539

Scales and comparisons

How big is 40481368680916800?
  • 40,481,368,680,916,800 seconds is equal to 1,287,182,306 years, 49 weeks, 5 days, 20 hours.
  • To count from 1 to 40,481,368,680,916,800 would take you about three billion, eight hundred sixty-one million, five hundred forty-six thousand, nine hundred twenty 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 40481368680916800 cubic inches would be around 28613.5 feet tall.

Recreational maths with 40481368680916800

  • 40481368680916800 backwards is 00861908686318404
  • 40481368680916800 is a Harshad number.
  • The number of decimal digits it has is: 17
  • The sum of 40481368680916800's digits is 72
  • More coming soon!

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"Number 40481368680916800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.

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Numbermatics. (2024). Number 40481368680916800 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/40481368680916800/

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Numbermatics. 2024. "Number 40481368680916800 - Facts about the integer". https://numbermatics.com/n/40481368680916800/

The information we have on file for 40481368680916800 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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