378982288207017331200

378,982,288,207,017,331,200 is an even composite number composed of seven prime numbers multiplied together.

What does the number 378982288207017331200 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 32400 divisors.

378982288207017331200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirty-two thousand, four hundred divisors.

Prime factorization of 378982288207017331200:

29 × 35 × 52 × 73 × 132 × 194 × 1272

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 19 × 19 × 19 × 19 × 127 × 127)

See below for interesting mathematical facts about the number 378982288207017331200 from the Numbermatics database.


Names of 378982288207017331200

  • Cardinal: 378982288207017331200 can be written as Three hundred seventy-eight quintillion, nine hundred eighty-two quadrillion, two hundred eighty-eight trillion, two hundred seven billion, seventeen million, three hundred thirty-one thousand, two hundred.

Scientific notation

  • Scientific notation: 3.789822882070173312 × 1020

Factors of 378982288207017331200

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 176

Divisors of 378982288207017331200

Bases of 378982288207017331200

  • Binary: 1010010001011011011111000111100110000101001111111101011001010000000002
  • Hexadecimal: 0x148B6F8F30A7FACA00
  • Base-36: 27ZBVD0VSIAO00

Squares and roots of 378982288207017331200

  • 378982288207017331200 squared (3789822882070173312002) is 143627574774626747710515746617170493440000
  • 378982288207017331200 cubed (3789822882070173312003) is 54432306937712526409901690100170213730242254367335907328000000
  • The square root of 378982288207017331200 is 19467467431.7697866079
  • The cube root of 378982288207017331200 is 7236684.4818208083

Scales and comparisons

How big is 378982288207017331200?
  • 378,982,288,207,017,331,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 378,982,288,207,017,331,200 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 378982288207017331200 cubic inches would be around 603057 feet tall.

Recreational maths with 378982288207017331200

  • 378982288207017331200 backwards is 002133710702882289873
  • 378982288207017331200 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 378982288207017331200's digits is 81
  • More coming soon!

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"Number 378982288207017331200 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.

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Numbermatics. (2024). Number 378982288207017331200 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/378982288207017331200/

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Numbermatics. 2024. "Number 378982288207017331200 - Facts about the integer". https://numbermatics.com/n/378982288207017331200/

The information we have on file for 378982288207017331200 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 378982288207017331200, math, Factors of 378982288207017331200, curriculum, school, college, exams, university, Prime factorization of 378982288207017331200, STEM, science, technology, engineering, physics, economics, calculator, three hundred seventy-eight quintillion, nine hundred eighty-two quadrillion, two hundred eighty-eight trillion, two hundred seven billion, seventeen million, three hundred thirty-one thousand, two hundred.

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