47142282668802048000

47,142,282,668,802,048,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 47142282668802048000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 10800 divisors.

47142282668802048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ten thousand, eight hundred divisors.

Prime factorization of 47142282668802048000:

224 × 32 × 53 × 7 × 135 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 13 × 31 × 31)

See below for interesting mathematical facts about the number 47142282668802048000 from the Numbermatics database.


Names of 47142282668802048000

  • Cardinal: 47142282668802048000 can be written as Forty-seven quintillion, one hundred forty-two quadrillion, two hundred eighty-two trillion, six hundred sixty-eight billion, eight hundred two million, forty-eight thousand.

Scientific notation

  • Scientific notation: 4.7142282668802048 × 1019

Factors of 47142282668802048000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 37
  • Sum of prime factors: 61

Divisors of 47142282668802048000

Bases of 47142282668802048000

  • Binary: 1010001110001110110000100001010001000101110000000000000000000000002
  • Hexadecimal: 0x28E3B085117000000
  • Base-36: 9Y5XSI9L42RK0

Squares and roots of 47142282668802048000

  • 47142282668802048000 squared (471422826688020480002) is 2222394815225233945283251408994304000000
  • 47142282668802048000 cubed (471422826688020480003) is 104768764581028076051733651684265297996004135534592000000000
  • The square root of 47142282668802048000 is 6866023788.8316442971
  • The cube root of 47142282668802048000 is 3612464.0668844823

Scales and comparisons

How big is 47142282668802048000?
  • 47,142,282,668,802,048,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 47,142,282,668,802,048,000 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 47142282668802048000 cubic inches would be around 301038.7 feet tall.

Recreational maths with 47142282668802048000

  • 47142282668802048000 backwards is 00084020886628224174
  • 47142282668802048000 is a Harshad number.
  • The number of decimal digits it has is: 20
  • The sum of 47142282668802048000's digits is 72
  • More coming soon!

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"Number 47142282668802048000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.

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Numbermatics. (2024). Number 47142282668802048000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/47142282668802048000/

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The information we have on file for 47142282668802048000 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 47142282668802048000, math, Factors of 47142282668802048000, curriculum, school, college, exams, university, Prime factorization of 47142282668802048000, STEM, science, technology, engineering, physics, economics, calculator, forty-seven quintillion, one hundred forty-two quadrillion, two hundred eighty-two trillion, six hundred sixty-eight billion, eight hundred two million, forty-eight thousand.

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