138138245589762048000

138,138,245,589,762,048,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138138245589762048000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 3024 divisors.

138138245589762048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.

Prime factorization of 138138245589762048000:

220 × 3 × 53 × 17 × 292 × 49572

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 29 × 29 × 4957 × 4957)

See below for interesting mathematical facts about the number 138138245589762048000 from the Numbermatics database.


Names of 138138245589762048000

  • Cardinal: 138138245589762048000 can be written as One hundred thirty-eight quintillion, one hundred thirty-eight quadrillion, two hundred forty-five trillion, five hundred eighty-nine billion, seven hundred sixty-two million, forty-eight thousand.

Scientific notation

  • Scientific notation: 1.38138245589762048 × 1020

Factors of 138138245589762048000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 29
  • Sum of prime factors: 5013

Divisors of 138138245589762048000

Bases of 138138245589762048000

  • Binary: 11101111101000011011010001001111001111000010111000000000000000000002
  • Hexadecimal: 0x77D0DA279E1700000
  • Base-36: T5ICH9AVKJ85C

Squares and roots of 138138245589762048000

  • 138138245589762048000 squared (1381382455897620480002) is 19082174894617413904470793261154304000000
  • 138138245589762048000 cubed (1381382455897620480003) is 2635978161979452049345943235618053618639441171054592000000000
  • The square root of 138138245589762048000 is 11753222774.6164178627
  • The cube root of 138138245589762048000 is 5169374.2917176247

Scales and comparisons

How big is 138138245589762048000?
  • 138,138,245,589,762,048,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,138,245,589,762,048,000 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 138138245589762048000 cubic inches would be around 430781.2 feet tall.

Recreational maths with 138138245589762048000

  • 138138245589762048000 backwards is 000840267985542831831
  • The number of decimal digits it has is: 21
  • The sum of 138138245589762048000's digits is 84
  • More coming soon!

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"Number 138138245589762048000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.

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Numbermatics. (2024). Number 138138245589762048000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138138245589762048000/

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The information we have on file for 138138245589762048000 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 138138245589762048000, math, Factors of 138138245589762048000, curriculum, school, college, exams, university, Prime factorization of 138138245589762048000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred thirty-eight quadrillion, two hundred forty-five trillion, five hundred eighty-nine billion, seven hundred sixty-two million, forty-eight thousand.

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