138064435680942489600

138,064,435,680,942,489,600 is an even composite number composed of five prime numbers multiplied together.

What does the number 138064435680942489600 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 7560 divisors.

138064435680942489600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven thousand, five hundred sixty divisors.

Prime factorization of 138064435680942489600:

219 × 35 × 52 × 76 × 6072

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 607 × 607)

See below for interesting mathematical facts about the number 138064435680942489600 from the Numbermatics database.


Names of 138064435680942489600

  • Cardinal: 138064435680942489600 can be written as One hundred thirty-eight quintillion, sixty-four quadrillion, four hundred thirty-five trillion, six hundred eighty billion, nine hundred forty-two million, four hundred eighty-nine thousand, six hundred.

Scientific notation

  • Scientific notation: 1.380644356809424896 × 1020

Factors of 138064435680942489600

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 34
  • Sum of prime factors: 624

Divisors of 138064435680942489600

Bases of 138064435680942489600

  • Binary: 11101111100000001110110100011000001010011010101100000000000000000002
  • Hexadecimal: 0x77C0768C14D580000
  • Base-36: T4Y5PTUV8QO00

Squares and roots of 138064435680942489600

  • 138064435680942489600 squared (1380644356809424896002) is 19061788399897105651917426142646108160000
  • 138064435680942489600 cubed (1380644356809424896003) is 2631755058501329599221621613489547499256855222221275136000000
  • The square root of 138064435680942489600 is 11750082369.1130986727
  • The cube root of 138064435680942489600 is 5168453.4291417515

Scales and comparisons

How big is 138064435680942489600?
  • 138,064,435,680,942,489,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,064,435,680,942,489,600 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 138064435680942489600 cubic inches would be around 430704.5 feet tall.

Recreational maths with 138064435680942489600

  • 138064435680942489600 backwards is 006984249086534460831
  • 138064435680942489600 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138064435680942489600's digits is 90
  • More coming soon!

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"Number 138064435680942489600 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.

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Numbermatics. (2024). Number 138064435680942489600 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138064435680942489600/

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The information we have on file for 138064435680942489600 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 138064435680942489600, math, Factors of 138064435680942489600, curriculum, school, college, exams, university, Prime factorization of 138064435680942489600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, sixty-four quadrillion, four hundred thirty-five trillion, six hundred eighty billion, nine hundred forty-two million, four hundred eighty-nine thousand, six hundred.

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