972628968
972,628,968 is an even composite number composed of six prime numbers multiplied together.
972628968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 972628968:
23 × 3 × 23 × 31 × 113 × 503
(2 × 2 × 2 × 3 × 23 × 31 × 113 × 503)See below for interesting mathematical facts about the number 972628968 from the Numbermatics database.
Names of 972628968
- Cardinal: 972628968 can be written as Nine hundred seventy-two million, six hundred twenty-eight thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 9.72628968 × 108
Factors of 972628968
Divisors of 972628968
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 113 124 138 184 186 226 248 276 339 372 452 503 552 678 713 744 904 1006 1356 1426 1509 2012 2139 2599 2712 2852 3018 3503 4024 4278 5198 5704 6036 7006 7797 8556 10396 10509 11569 12072 14012 15593 15594 17112 20792 21018 23138 28024 31186 31188 34707 42036 46276 46779 56839 62372 62376 69414 80569 84072 92552 93558 113678 124744 138828 161138 170517 187116 227356 241707 277656 322276 341034 358639 374232 454712 483414 644552 682068 717278 966828 1075917 1307297 1364136 1434556 1762009 1933656 2151834 2614594 2869112 3524018 3921891 4303668 5229188 5286027 7048036 7843782 8607336 10458376 10572054 14096072 15687564 21144108 31375128 40526207 42288216 81052414 121578621 162104828 243157242 324209656 486314484 972628968
- Sum of all divisors σ(n): 2647572480
- Sum of proper divisors (its aliquot sum) s(n): 1674943512
- 972628968 is an abundant number, because the sum of its proper divisors (1674943512) is greater than itself. Its abundance is 702314544
Bases of 972628968
- Binary: 1110011111100100100011111010002
- Hexadecimal: 0x39F923E8
- Base-36: G32TBC
Squares and roots of 972628968
- 972628968 squared (9726289682) is 946007109392745024
- 972628968 cubed (9726289683) is 920113918529328699380255232
-
The
square root of 972628968 is 31186.9999839677 -
The
cube root of 972628968 is 990.7917918269
Scales and comparisons
How big is 972628968?- 972,628,968 seconds is equal to 30 years, 48 weeks, 1 day, 6 hours, 42 minutes, 48 seconds.
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To count from 1 to 972,628,968 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 972628968 cubic inches would be around 82.6 feet tall.
Recreational maths with 972628968
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