972144

972,144 is an even composite number composed of four prime numbers multiplied together.

What does the number 972144 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

972144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 972144:

2⁴ × 3² × 43 × 157

(2 × 2 × 2 × 2 × 3 × 3 × 43 × 157)

See below for interesting mathematical facts about the number 972144 from the Numbermatics database.

Names of 972144

Cardinal: 972144 can be written as Nine hundred seventy-two thousand, one hundred forty-four.

Scientific notation

Scientific notation: 9.72144 × 10⁵

Factors of 972144

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 205

Divisors of 972144

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 157 172 258 314 344 387 471 516 628 688 774 942 1032 1256 1413 1548 1884 2064 2512 2826 3096 3768 5652 6192 6751 7536 11304 13502 20253 22608 27004 40506 54008 60759 81012 108016 121518 162024 243036 324048 486072 972144
Sum of all divisors σ(n): 2801656
Sum of proper divisors (its aliquot sum) s(n): 1829512
972144 is an abundant number, because the sum of its proper divisors (1829512) is greater than itself. Its abundance is 857368

Bases of 972144

Binary: 11101101010101110000₂
Hexadecimal: 0xED570
Base-36: KU40

Squares and roots of 972144

972144 squared (972144²) is 945063956736
972144 cubed (972144³) is 918738255157161984
The square root of 972144 is 985.9736304791
The cube root of 972144 is 99.0627089693

Scales and comparisons

How big is 972144?

972,144 seconds is equal to 1 week, 4 days, 6 hours, 2 minutes, 24 seconds.
To count from 1 to 972,144 would take you about four days!

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 972144 cubic inches would be around 8.3 feet tall.

Recreational maths with 972144

972144 backwards is 441279
The number of decimal digits it has is: 6
The sum of 972144's digits is 27
More coming soon!

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The information we have on file for 972144 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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