47968309340668800

47,968,309,340,668,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 47968309340668800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 6048 divisors.

47968309340668800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.

Prime factorization of 47968309340668800:

27 × 36 × 52 × 19 × 232 × 109 × 1372

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 23 × 23 × 109 × 137 × 137)

See below for interesting mathematical facts about the number 47968309340668800 from the Numbermatics database.


Names of 47968309340668800

  • Cardinal: 47968309340668800 can be written as Forty-seven quadrillion, nine hundred sixty-eight trillion, three hundred nine billion, three hundred forty million, six hundred sixty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.79683093406688 × 1016

Factors of 47968309340668800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 298

Divisors of 47968309340668800

Bases of 47968309340668800

  • Binary: 101010100110101011101100010101101011101000000011100000002
  • Hexadecimal: 0xAA6AEC56BA0380
  • Base-36: D4BCH3GE000

Squares and roots of 47968309340668800

  • 47968309340668800 squared (479683093406688002) is 2300958701002093646173631293440000
  • 47968309340668800 cubed (479683093406688003) is 110373098749771877186535453465395157338652672000000
  • The square root of 47968309340668800 is 219016687.3566231255
  • The cube root of 47968309340668800 is 363344.1207505263

Scales and comparisons

How big is 47968309340668800?
  • 47,968,309,340,668,800 seconds is equal to 1,525,243,861 years, 16 weeks, 1 day.
  • To count from 1 to 47,968,309,340,668,800 would take you about four billion, five hundred seventy-five million, seven hundred thirty-one thousand, five hundred eighty-three 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 47968309340668800 cubic inches would be around 30278.7 feet tall.

Recreational maths with 47968309340668800

  • 47968309340668800 backwards is 00886604390386974
  • 47968309340668800 is a Harshad number.
  • The number of decimal digits it has is: 17
  • The sum of 47968309340668800's digits is 81
  • More coming soon!

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"Number 47968309340668800 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.

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Numbermatics. (2024). Number 47968309340668800 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/47968309340668800/

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Numbermatics. 2024. "Number 47968309340668800 - Facts about the integer". https://numbermatics.com/n/47968309340668800/

The information we have on file for 47968309340668800 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 47968309340668800, math, Factors of 47968309340668800, curriculum, school, college, exams, university, Prime factorization of 47968309340668800, STEM, science, technology, engineering, physics, economics, calculator, forty-seven quadrillion, nine hundred sixty-eight trillion, three hundred nine billion, three hundred forty million, six hundred sixty-eight thousand, eight hundred.

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