400968037649088000

400,968,037,649,088,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 400968037649088000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 5760 divisors.

400968037649088000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.

Prime factorization of 400968037649088000:

29 × 32 × 53 × 73 × 132 × 2293

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 229 × 229 × 229)

See below for interesting mathematical facts about the number 400968037649088000 from the Numbermatics database.


Names of 400968037649088000

  • Cardinal: 400968037649088000 can be written as Four hundred quadrillion, nine hundred sixty-eight trillion, thirty-seven billion, six hundred forty-nine million, eighty-eight thousand.

Scientific notation

  • Scientific notation: 4.00968037649088 × 1017

Factors of 400968037649088000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 259

Divisors of 400968037649088000

Bases of 400968037649088000

  • Binary: 101100100001000011001001110010010100101101111111110000000002
  • Hexadecimal: 0x590864E4A5BFE00
  • Base-36: 31O3B1K0BR40

Squares and roots of 400968037649088000

  • 400968037649088000 squared (4009680376490880002) is 160775367216160451821827231744000000
  • 400968037649088000 cubed (4009680376490880003) is 64465783494975372599634294217661960726249472000000000
  • The square root of 400968037649088000 is 633220370.5260025823
  • The cube root of 400968037649088000 is 737400.2010848825

Scales and comparisons

How big is 400968037649088000?
  • 400,968,037,649,088,000 seconds is equal to 12,749,543,321 years, 34 weeks, 4 days, 16 hours.
  • To count from 1 to 400,968,037,649,088,000 would take you about thirty-eight billion, two hundred forty-eight million, six hundred twenty-nine thousand, nine 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 400968037649088000 cubic inches would be around 61450 feet tall.

Recreational maths with 400968037649088000

  • 400968037649088000 backwards is 000880946730869004
  • 400968037649088000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 400968037649088000's digits is 72
  • More coming soon!

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"Number 400968037649088000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.

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Numbermatics. (2024). Number 400968037649088000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/400968037649088000/

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The information we have on file for 400968037649088000 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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