138317794346690150400

138,317,794,346,690,150,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 138317794346690150400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 13728 divisors.

138317794346690150400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirteen thousand, seven hundred twenty-eight divisors.

Prime factorization of 138317794346690150400:

225 × 310 × 52 × 133 × 31 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 31 × 41)

See below for interesting mathematical facts about the number 138317794346690150400 from the Numbermatics database.


Names of 138317794346690150400

  • Cardinal: 138317794346690150400 can be written as One hundred thirty-eight quintillion, three hundred seventeen quadrillion, seven hundred ninety-four trillion, three hundred forty-six billion, six hundred ninety million, one hundred fifty thousand, four hundred.

Scientific notation

  • Scientific notation: 1.383177943466901504 × 1020

Factors of 138317794346690150400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 42
  • Sum of prime factors: 95

Divisors of 138317794346690150400

Bases of 138317794346690150400

  • Binary: 11101111111100010111000010100011110100001100000000000000000000000002
  • Hexadecimal: 0x77F8B851E86000000
  • Base-36: T6VGDZB400000

Squares and roots of 138317794346690150400

  • 138317794346690150400 squared (1383177943466901504002) is 19131812232933269729906495584374620160000
  • 138317794346690150400 cubed (1383177943466901504003) is 2646270069914354878707837411326488662202899993213272064000000
  • The square root of 138317794346690150400 is 11760858571.8343773645
  • The cube root of 138317794346690150400 is 5171612.9980302827

Scales and comparisons

How big is 138317794346690150400?
  • 138,317,794,346,690,150,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,317,794,346,690,150,400 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 138317794346690150400 cubic inches would be around 430967.7 feet tall.

Recreational maths with 138317794346690150400

  • 138317794346690150400 backwards is 004051096643497713831
  • 138317794346690150400 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138317794346690150400's digits is 81
  • More coming soon!

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"Number 138317794346690150400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

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Numbermatics. (2024). Number 138317794346690150400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138317794346690150400/

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The information we have on file for 138317794346690150400 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!

Keywords: Divisors of 138317794346690150400, math, Factors of 138317794346690150400, curriculum, school, college, exams, university, Prime factorization of 138317794346690150400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred seventeen quadrillion, seven hundred ninety-four trillion, three hundred forty-six billion, six hundred ninety million, one hundred fifty thousand, four hundred.

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