138948087773271462400

138,948,087,773,271,462,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 138948087773271462400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 5760 divisors.

138948087773271462400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.

Prime factorization of 138948087773271462400:

29 × 52 × 113 × 133 × 313 × 3532

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 13 × 31 × 31 × 31 × 353 × 353)

See below for interesting mathematical facts about the number 138948087773271462400 from the Numbermatics database.


Names of 138948087773271462400

  • Cardinal: 138948087773271462400 can be written as One hundred thirty-eight quintillion, nine hundred forty-eight quadrillion, eighty-seven trillion, seven hundred seventy-three billion, two hundred seventy-one million, four hundred sixty-two thousand, four hundred.

Scientific notation

  • Scientific notation: 1.389480877732714624 × 1020

Factors of 138948087773271462400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 415

Divisors of 138948087773271462400

Bases of 138948087773271462400

  • Binary: 11110001000010010101100010110100110101110011010010010010010000000002
  • Hexadecimal: 0x7884AC5A6B9A49200
  • Base-36: TBNUICPYKHRLS

Squares and roots of 138948087773271462400

  • 138948087773271462400 squared (1389480877732714624002) is 19306571095848750462293612162234613760000
  • 138948087773271462400 cubed (1389480877732714624003) is 2682611135226897983292596881452890762005462954094362624000000
  • The square root of 138948087773271462400 is 11787624348.1573276001
  • The cube root of 138948087773271462400 is 5179456.5175351767

Scales and comparisons

How big is 138948087773271462400?
  • 138,948,087,773,271,462,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,948,087,773,271,462,400 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 138948087773271462400 cubic inches would be around 431621.4 feet tall.

Recreational maths with 138948087773271462400

  • 138948087773271462400 backwards is 004264172377780849831
  • The number of decimal digits it has is: 21
  • The sum of 138948087773271462400's digits is 91
  • More coming soon!

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"Number 138948087773271462400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.

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Numbermatics. (2024). Number 138948087773271462400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138948087773271462400/

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Numbermatics. 2024. "Number 138948087773271462400 - Facts about the integer". https://numbermatics.com/n/138948087773271462400/

The information we have on file for 138948087773271462400 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 138948087773271462400, math, Factors of 138948087773271462400, curriculum, school, college, exams, university, Prime factorization of 138948087773271462400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred forty-eight quadrillion, eighty-seven trillion, seven hundred seventy-three billion, two hundred seventy-one million, four hundred sixty-two thousand, four hundred.

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