230468142644013772800

230,468,142,644,013,772,800 is an even composite number composed of eight prime numbers multiplied together.

What does the number 230468142644013772800 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 3744 divisors.

230468142644013772800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.

Prime factorization of 230468142644013772800:

212 × 32 × 52 × 61 × 181 × 1061 × 1093 × 19531

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 61 × 181 × 1061 × 1093 × 19531)

See below for interesting mathematical facts about the number 230468142644013772800 from the Numbermatics database.


Names of 230468142644013772800

  • Cardinal: 230468142644013772800 can be written as Two hundred thirty quintillion, four hundred sixty-eight quadrillion, one hundred forty-two trillion, six hundred forty-four billion, thirteen million, seven hundred seventy-two thousand, eight hundred.

Scientific notation

  • Scientific notation: 2.304681426440137728 × 1020

Factors of 230468142644013772800

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 21937

Divisors of 230468142644013772800

Bases of 230468142644013772800

  • Binary: 110001111110011000110101001010101001100001000111111100110000000000002
  • Hexadecimal: 0xC7E6352A9847F3000
  • Base-36: 1CMZLM716S6WW0

Squares and roots of 230468142644013772800

  • 230468142644013772800 squared (2304681426440137728002) is 53115564773781479694006014756090019840000
  • 230468142644013772800 cubed (2304681426440137728003) is 12241445558901223203454084018164053166229942733585252352000000
  • The square root of 230468142644013772800 is 15181177248.2905215831
  • The cube root of 230468142644013772800 is 6131079.7786357315

Scales and comparisons

How big is 230468142644013772800?
  • 230,468,142,644,013,772,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 230,468,142,644,013,772,800 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 230468142644013772800 cubic inches would be around 510923.3 feet tall.

Recreational maths with 230468142644013772800

  • 230468142644013772800 backwards is 008277310446241864032
  • 230468142644013772800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 230468142644013772800's digits is 72
  • More coming soon!

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"Number 230468142644013772800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.

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Numbermatics. (2024). Number 230468142644013772800 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/230468142644013772800/

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The information we have on file for 230468142644013772800 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 230468142644013772800, math, Factors of 230468142644013772800, curriculum, school, college, exams, university, Prime factorization of 230468142644013772800, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty quintillion, four hundred sixty-eight quadrillion, one hundred forty-two trillion, six hundred forty-four billion, thirteen million, seven hundred seventy-two thousand, eight hundred.

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