972125728
972,125,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 972125728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
972125728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 972125728:
25 × 7 × 19 × 23 × 9931
(2 × 2 × 2 × 2 × 2 × 7 × 19 × 23 × 9931)See below for interesting mathematical facts about the number 972125728 from the Numbermatics database.
Names of 972125728
- Cardinal: 972125728 can be written as Nine hundred seventy-two million, one hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 9.72125728 × 108
Factors of 972125728
Divisors of 972125728
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 7 8 14 16 19 23 28 32 38 46 56 76 92 112 133 152 161 184 224 266 304 322 368 437 532 608 644 736 874 1064 1288 1748 2128 2576 3059 3496 4256 5152 6118 6992 9931 12236 13984 19862 24472 39724 48944 69517 79448 97888 139034 158896 188689 228413 278068 317792 377378 456826 556136 754756 913652 1112272 1320823 1509512 1598891 1827304 2224544 2641646 3019024 3197782 3654608 4339847 5283292 6038048 6395564 7309216 8679694 10566584 12791128 17359388 21133168 25582256 30378929 34718776 42266336 51164512 60757858 69437552 121515716 138875104 243031432 486062864 972125728
- Sum of all divisors σ(n): 2402749440
- Sum of proper divisors (its aliquot sum) s(n): 1430623712
- 972125728 is an abundant number, because the sum of its proper divisors (1430623712) is greater than itself. Its abundance is 458497984
Bases of 972125728
- Binary: 1110011111000101110110001000002
- Hexadecimal: 0x39F17620
- Base-36: G2S10G
Squares and roots of 972125728
- 972125728 squared (9721257282) is 945028431039529984
- 972125728 cubed (9721257283) is 918686451505000882473828352
-
The
square root of 972125728 is 31178.9308347801 -
The
cube root of 972125728 is 990.6208831881
Scales and comparisons
How big is 972125728?- 972,125,728 seconds is equal to 30 years, 47 weeks, 2 days, 10 hours, 55 minutes, 28 seconds.
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To count from 1 to 972,125,728 would take you about forty-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 972125728 cubic inches would be around 82.6 feet tall.
Recreational maths with 972125728
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The information we have on file for 972125728 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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