138236521285437120000

138,236,521,285,437,120,000 is an even composite number composed of ten prime numbers multiplied together.

What does the number 138236521285437120000 look like?

This visualization shows the relationship between its 10 prime factors (large circles) and 19200 divisors.

138236521285437120000 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of nineteen thousand, two hundred divisors.

Prime factorization of 138236521285437120000:

29 × 32 × 54 × 7 × 13 × 23 × 131 × 347 × 613 × 823

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 23 × 131 × 347 × 613 × 823)

See below for interesting mathematical facts about the number 138236521285437120000 from the Numbermatics database.


Names of 138236521285437120000

  • Cardinal: 138236521285437120000 can be written as One hundred thirty-eight quintillion, two hundred thirty-six quadrillion, five hundred twenty-one trillion, two hundred eighty-five billion, four hundred thirty-seven million, one hundred twenty thousand.

Scientific notation

  • Scientific notation: 1.3823652128543712 × 1020

Factors of 138236521285437120000

  • Number of distinct prime factors ω(n): 10
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 1967

Divisors of 138236521285437120000

Bases of 138236521285437120000

  • Binary: 11101111110011010101100011110110011010111000011010001011110000000002
  • Hexadecimal: 0x77E6AC7B35C345E00
  • Base-36: T6985327E7B40

Squares and roots of 138236521285437120000

  • 138236521285437120000 squared (1382365212854371200002) is 19109335817099109947593389473894400000000
  • 138236521285437120000 cubed (1382365212854371200003) is 2641608107430987052097419181473590199849132720128000000000000
  • The square root of 138236521285437120000 is 11757402829.0876008413
  • The cube root of 138236521285437120000 is 5170599.8838184313

Scales and comparisons

How big is 138236521285437120000?
  • 138,236,521,285,437,120,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,236,521,285,437,120,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138236521285437120000 cubic inches would be around 430883.3 feet tall.

Recreational maths with 138236521285437120000

  • 138236521285437120000 backwards is 000021734582125632831
  • 138236521285437120000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138236521285437120000's digits is 63
  • More coming soon!

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"Number 138236521285437120000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.

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Numbermatics. (2024). Number 138236521285437120000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138236521285437120000/

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The information we have on file for 138236521285437120000 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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