972429642409680

972,429,642,409,680 is an even composite number composed of seven prime numbers multiplied together.

What does the number 972429642409680 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 3360 divisors.

972429642409680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.

Prime factorization of 972429642409680:

24 × 36 × 5 × 73 × 132 × 313 × 919

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 13 × 313 × 919)

See below for interesting mathematical facts about the number 972429642409680 from the Numbermatics database.


Names of 972429642409680

  • Cardinal: 972429642409680 can be written as Nine hundred seventy-two trillion, four hundred twenty-nine billion, six hundred forty-two million, four hundred nine thousand, six hundred eighty.

Scientific notation

  • Scientific notation: 9.7242964240968 × 1014

Factors of 972429642409680

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 1262

Divisors of 972429642409680

Bases of 972429642409680

  • Binary: 110111010001101011011010110110011110100110110100002
  • Hexadecimal: 0x3746B6B67A6D0
  • Base-36: 9KP40DP900

Squares and roots of 972429642409680

  • 972429642409680 squared (9724296424096802) is 945619409437018115636957702400
  • 972429642409680 cubed (9724296424096803) is 919548344174492307394518962128123372319232000
  • The square root of 972429642409680 is 31183804.1683448235
  • The cube root of 972429642409680 is 99072.4104607485

Scales and comparisons

How big is 972429642409680?
  • 972,429,642,409,680 seconds is equal to 30,920,254 years, 36 weeks, 5 days, 1 hour, 48 minutes.
  • To count from 1 to 972,429,642,409,680 would take you about seventy-seven million, three hundred thousand, six hundred thirty-six 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 972429642409680 cubic inches would be around 8256 feet tall.

Recreational maths with 972429642409680

  • 972429642409680 backwards is 086904246924279
  • 972429642409680 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 972429642409680's digits is 72
  • More coming soon!

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"Number 972429642409680 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.

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Numbermatics. (2024). Number 972429642409680 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/972429642409680/

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Numbermatics. 2024. "Number 972429642409680 - Facts about the integer". https://numbermatics.com/n/972429642409680/

The information we have on file for 972429642409680 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 972429642409680, math, Factors of 972429642409680, curriculum, school, college, exams, university, Prime factorization of 972429642409680, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two trillion, four hundred twenty-nine billion, six hundred forty-two million, four hundred nine thousand, six hundred eighty.

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