138432324339634872960

138,432,324,339,634,872,960 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138432324339634872960 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 11664 divisors.

138432324339634872960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eleven thousand, six hundred sixty-four divisors.

Prime factorization of 138432324339634872960:

27 × 38 × 5 × 72 × 192 × 232 × 18772

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 19 × 23 × 23 × 1877 × 1877)

See below for interesting mathematical facts about the number 138432324339634872960 from the Numbermatics database.


Names of 138432324339634872960

  • Cardinal: 138432324339634872960 can be written as One hundred thirty-eight quintillion, four hundred thirty-two quadrillion, three hundred twenty-four trillion, three hundred thirty-nine billion, six hundred thirty-four million, eight hundred seventy-two thousand, nine hundred sixty.

Scientific notation

  • Scientific notation: 1.3843232433963487296 × 1020

Factors of 138432324339634872960

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 1936

Divisors of 138432324339634872960

Bases of 138432324339634872960

  • Binary: 11110000001001000100110100110001010011111111001100100100010100000002
  • Hexadecimal: 0x78122698A7F992280
  • Base-36: T7QS3H3IQI000

Squares and roots of 138432324339634872960

  • 138432324339634872960 squared (1384323243396348729602) is 19163508422073865665946965010555339161600
  • 138432324339634872960 cubed (1384323243396348729603) is 2652849013369853872199793452347863390206027233599728910336000
  • The square root of 138432324339634872960 is 11765726681.3246547113
  • The cube root of 138432324339634872960 is 5173040.0050612755

Scales and comparisons

How big is 138432324339634872960?
  • 138,432,324,339,634,872,960 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,432,324,339,634,872,960 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 138432324339634872960 cubic inches would be around 431086.7 feet tall.

Recreational maths with 138432324339634872960

  • 138432324339634872960 backwards is 069278436933423234831
  • 138432324339634872960 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138432324339634872960's digits is 90
  • More coming soon!

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"Number 138432324339634872960 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 138432324339634872960 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138432324339634872960/

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The information we have on file for 138432324339634872960 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 138432324339634872960, math, Factors of 138432324339634872960, curriculum, school, college, exams, university, Prime factorization of 138432324339634872960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred thirty-two quadrillion, three hundred twenty-four trillion, three hundred thirty-nine billion, six hundred thirty-four million, eight hundred seventy-two thousand, nine hundred sixty.

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