138137275940735373120

138,137,275,940,735,373,120 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138137275940735373120 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 9450 divisors.

138137275940735373120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, four hundred fifty divisors.

Prime factorization of 138137275940735373120:

26 × 32 × 5 × 74 × 134 × 532 × 4992

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 53 × 53 × 499 × 499)

See below for interesting mathematical facts about the number 138137275940735373120 from the Numbermatics database.


Names of 138137275940735373120

  • Cardinal: 138137275940735373120 can be written as One hundred thirty-eight quintillion, one hundred thirty-seven quadrillion, two hundred seventy-five trillion, nine hundred forty billion, seven hundred thirty-five million, three hundred seventy-three thousand, one hundred twenty.

Scientific notation

  • Scientific notation: 1.3813727594073537312 × 1020

Factors of 138137275940735373120

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 582

Divisors of 138137275940735373120

Bases of 138137275940735373120

  • Binary: 11101111101000010100011000010010101110111111010010101001111010000002
  • Hexadecimal: 0x77D0A3095DFA54F40
  • Base-36: T5I2XJO9HNBK0

Squares and roots of 138137275940735373120

  • 138137275940735373120 squared (1381372759407353731202) is 19081907004326867762793138239225618534400
  • 138137275940735373120 cubed (1381372759407353731203) is 2635922653332151627594167904337027609385161831821571555328000
  • The square root of 138137275940735373120 is 11753181524.1974108261
  • The cube root of 138137275940735373120 is 5169362.1963695739

Scales and comparisons

How big is 138137275940735373120?
  • 138,137,275,940,735,373,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,137,275,940,735,373,120 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 138137275940735373120 cubic inches would be around 430780.2 feet tall.

Recreational maths with 138137275940735373120

  • 138137275940735373120 backwards is 021373537049572731831
  • The number of decimal digits it has is: 21
  • The sum of 138137275940735373120's digits is 81
  • More coming soon!

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"Number 138137275940735373120 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.

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Numbermatics. (2024). Number 138137275940735373120 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138137275940735373120/

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The information we have on file for 138137275940735373120 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 138137275940735373120, math, Factors of 138137275940735373120, curriculum, school, college, exams, university, Prime factorization of 138137275940735373120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred thirty-seven quadrillion, two hundred seventy-five trillion, nine hundred forty billion, seven hundred thirty-five million, three hundred seventy-three thousand, one hundred twenty.

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