138292356742800998400

138,292,356,742,800,998,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 138292356742800998400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 9936 divisors.

138292356742800998400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine thousand, nine hundred thirty-six divisors.

Prime factorization of 138292356742800998400:

222 × 33 × 52 × 132 × 312 × 673

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 31 × 31 × 67 × 67 × 67)

See below for interesting mathematical facts about the number 138292356742800998400 from the Numbermatics database.


Names of 138292356742800998400

  • Cardinal: 138292356742800998400 can be written as One hundred thirty-eight quintillion, two hundred ninety-two quadrillion, three hundred fifty-six trillion, seven hundred forty-two billion, eight hundred million, nine hundred ninety-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 1.382923567428009984 × 1020

Factors of 138292356742800998400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 34
  • Sum of prime factors: 121

Divisors of 138292356742800998400

Bases of 138292356742800998400

  • Binary: 11101111111001100010010010111000000110101100100000000000000000000002
  • Hexadecimal: 0x77F3125C0D6400000
  • Base-36: T6OHX3P7JV9C0

Squares and roots of 138292356742800998400

  • 138292356742800998400 squared (1382923567428009984002) is 19124775933478136767529784024036802560000
  • 138292356742800998400 cubed (1382923567428009984003) is 2644810336018693465635770108348082331520137899911675904000000
  • The square root of 138292356742800998400 is 11759777070.2850059767
  • The cube root of 138292356742800998400 is 5171295.9467333323

Scales and comparisons

How big is 138292356742800998400?
  • 138,292,356,742,800,998,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,292,356,742,800,998,400 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 138292356742800998400 cubic inches would be around 430941.3 feet tall.

Recreational maths with 138292356742800998400

  • 138292356742800998400 backwards is 004899008247653292831
  • 138292356742800998400 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138292356742800998400's digits is 90
  • More coming soon!

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"Number 138292356742800998400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.

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Numbermatics. (2024). Number 138292356742800998400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138292356742800998400/

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The information we have on file for 138292356742800998400 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 138292356742800998400, math, Factors of 138292356742800998400, curriculum, school, college, exams, university, Prime factorization of 138292356742800998400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred ninety-two quadrillion, three hundred fifty-six trillion, seven hundred forty-two billion, eight hundred million, nine hundred ninety-eight thousand, four hundred.

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