138384697903610400

138,384,697,903,610,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138384697903610400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 10368 divisors.

138384697903610400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of ten thousand, three hundred sixty-eight divisors.

Prime factorization of 138384697903610400:

25 × 37 × 52 × 11 × 172 × 192 × 413

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 17 × 17 × 19 × 19 × 41 × 41 × 41)

See below for interesting mathematical facts about the number 138384697903610400 from the Numbermatics database.


Names of 138384697903610400

  • Cardinal: 138384697903610400 can be written as One hundred thirty-eight quadrillion, three hundred eighty-four trillion, six hundred ninety-seven billion, nine hundred three million, six hundred ten thousand, four hundred.

Scientific notation

  • Scientific notation: 1.383846979036104 × 1017

Factors of 138384697903610400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 98

Divisors of 138384697903610400

Bases of 138384697903610400

  • Binary: 1111010111010010000100110010010001110010011111010001000002
  • Hexadecimal: 0x1EBA42648E4FA20
  • Base-36: 11ULA4KWSI00

Squares and roots of 138384697903610400

  • 138384697903610400 squared (1383846979036104002) is 19150324613873512636609354988160000
  • 138384697903610400 cubed (1383846979036104003) is 2650111886446960527014947000373594092113252864000000
  • The square root of 138384697903610400 is 372000938.0413044067
  • The cube root of 138384697903610400 is 517244.6690555085

Scales and comparisons

How big is 138384697903610400?
  • 138,384,697,903,610,400 seconds is equal to 4,400,205,341 years, 18 weeks, 4 days, 18 hours.
  • To count from 1 to 138,384,697,903,610,400 would take you about thirteen billion, two hundred million, six hundred sixteen thousand and twenty-four 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 138384697903610400 cubic inches would be around 43103.7 feet tall.

Recreational maths with 138384697903610400

  • 138384697903610400 backwards is 004016309796483831
  • 138384697903610400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138384697903610400's digits is 72
  • More coming soon!

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"Number 138384697903610400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.

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Numbermatics. (2024). Number 138384697903610400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138384697903610400/

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The information we have on file for 138384697903610400 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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