138146200118125023825

138,146,200,118,125,023,825 is an odd composite number composed of nine prime numbers multiplied together.

What does the number 138146200118125023825 look like?

This visualization shows the relationship between its 9 prime factors (large circles) and 8748 divisors.

138146200118125023825 is an odd composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of eight thousand, seven hundred forty-eight divisors.

Prime factorization of 138146200118125023825:

32 × 52 × 72 × 112 × 13 × 172 × 292 × 61 × 7332

(3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 17 × 17 × 29 × 29 × 61 × 733 × 733)

See below for interesting mathematical facts about the number 138146200118125023825 from the Numbermatics database.


Names of 138146200118125023825

  • Cardinal: 138146200118125023825 can be written as One hundred thirty-eight quintillion, one hundred forty-six quadrillion, two hundred trillion, one hundred eighteen billion, one hundred twenty-five million, twenty-three thousand, eight hundred twenty-five.

Scientific notation

  • Scientific notation: 1.38146200118125023825 × 1020

Factors of 138146200118125023825

  • Number of distinct prime factors ω(n): 9
  • Total number of prime factors Ω(n): 16
  • Sum of prime factors: 879

Divisors of 138146200118125023825

Bases of 138146200118125023825

  • Binary: 11101111101001010011110010100010011110101101101111001010010010100012
  • Hexadecimal: 0x77D29E513D6DE5251
  • Base-36: T5KISWIRC0HU9

Squares and roots of 138146200118125023825

  • 138146200118125023825 squared (1381462001181250238252) is 19084372607077046346619951253656817630625
  • 138146200118125023825 cubed (1381462001181250238253) is 2636433557306129028905582573183036409822397575991258174640625
  • The square root of 138146200118125023825 is 11753561167.4983435135
  • The cube root of 138146200118125023825 is 5169473.5139255199

Scales and comparisons

How big is 138146200118125023825?
  • 138,146,200,118,125,023,825 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,146,200,118,125,023,825 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 138146200118125023825 cubic inches would be around 430789.5 feet tall.

Recreational maths with 138146200118125023825

  • 138146200118125023825 backwards is 528320521811002641831
  • 138146200118125023825 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138146200118125023825's digits is 63
  • More coming soon!

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"Number 138146200118125023825 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.

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Numbermatics. (2024). Number 138146200118125023825 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138146200118125023825/

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Numbermatics. 2024. "Number 138146200118125023825 - Facts about the integer". https://numbermatics.com/n/138146200118125023825/

The information we have on file for 138146200118125023825 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 138146200118125023825, math, Factors of 138146200118125023825, curriculum, school, college, exams, university, Prime factorization of 138146200118125023825, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred forty-six quadrillion, two hundred trillion, one hundred eighteen billion, one hundred twenty-five million, twenty-three thousand, eight hundred twenty-five.

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