138648388997664

138,648,388,997,664 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138648388997664 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 4032 divisors.

138648388997664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.

Prime factorization of 138648388997664:

25 × 36 × 73 × 13 × 19 × 312 × 73

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 19 × 31 × 31 × 73)

See below for interesting mathematical facts about the number 138648388997664 from the Numbermatics database.


Names of 138648388997664

  • Cardinal: 138648388997664 can be written as One hundred thirty-eight trillion, six hundred forty-eight billion, three hundred eighty-eight million, nine hundred ninety-seven thousand, six hundred sixty-four.

Scientific notation

  • Scientific notation: 1.38648388997664 × 1014

Factors of 138648388997664

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 148

Divisors of 138648388997664

Bases of 138648388997664

  • Binary: 111111000011001100101111111100110010010001000002
  • Hexadecimal: 0x7E1997F99220
  • Base-36: 1D5A6V0I00

Squares and roots of 138648388997664

  • 138648388997664 squared (1386483889976642) is 19223375771647555726597456896
  • 138648388997664 cubed (1386483889976643) is 2665290081835659671477893159950008884690944
  • The square root of 138648388997664 is 11774905.0525965601
  • The cube root of 138648388997664 is 51757.2995993575

Scales and comparisons

How big is 138648388997664?
  • 138,648,388,997,664 seconds is equal to 4,408,589 years, 46 weeks, 6 days, 12 hours, 14 minutes, 24 seconds.
  • To count from 1 to 138,648,388,997,664 would take you about eleven million, twenty-one thousand, four hundred seventy-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 138648388997664 cubic inches would be around 4313.1 feet tall.

Recreational maths with 138648388997664

  • 138648388997664 backwards is 466799883846831
  • The number of decimal digits it has is: 15
  • The sum of 138648388997664's digits is 90
  • More coming soon!

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"Number 138648388997664 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.

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Numbermatics. (2024). Number 138648388997664 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138648388997664/

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The information we have on file for 138648388997664 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 138648388997664, math, Factors of 138648388997664, curriculum, school, college, exams, university, Prime factorization of 138648388997664, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred forty-eight billion, three hundred eighty-eight million, nine hundred ninety-seven thousand, six hundred sixty-four.

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