972980312082688000

972,980,312,082,688,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 972980312082688000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 9216 divisors.

972980312082688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, two hundred sixteen divisors.

Prime factorization of 972980312082688000:

211 × 53 × 72 × 133 × 17 × 373 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 17 × 37 × 37 × 37 × 41)

See below for interesting mathematical facts about the number 972980312082688000 from the Numbermatics database.


Names of 972980312082688000

  • Cardinal: 972980312082688000 can be written as Nine hundred seventy-two quadrillion, nine hundred eighty trillion, three hundred twelve billion, eighty-two million, six hundred eighty-eight thousand.

Scientific notation

  • Scientific notation: 9.72980312082688 × 1017

Factors of 972980312082688000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 122

Divisors of 972980312082688000

Bases of 972980312082688000

  • Binary: 1101100000001011100001110000010100110010001100101000000000002
  • Hexadecimal: 0xD80B87053232800
  • Base-36: 7E4CQGQ6TTDS

Squares and roots of 972980312082688000

  • 972980312082688000 squared (9729803120826880002) is 946690687700524936084149305344000000
  • 972980312082688000 cubed (9729803120826880003) is 921111400764631274459516655283114525088284672000000000
  • The square root of 972980312082688000 is 986397643.9969268297
  • The cube root of 972980312082688000 is 990911.0791527129

Scales and comparisons

How big is 972980312082688000?
  • 972,980,312,082,688,000 seconds is equal to 30,937,764,298 years, 26 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
  • To count from 1 to 972,980,312,082,688,000 would take you about ninety-two billion, eight hundred thirteen million, two hundred ninety-two thousand, eight hundred ninety-five 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 972980312082688000 cubic inches would be around 82575.9 feet tall.

Recreational maths with 972980312082688000

  • 972980312082688000 backwards is 000886280213089279
  • The number of decimal digits it has is: 18
  • The sum of 972980312082688000's digits is 73
  • More coming soon!

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"Number 972980312082688000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.

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Numbermatics. (2024). Number 972980312082688000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/972980312082688000/

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The information we have on file for 972980312082688000 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!

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