972119120
972,119,120 is an even composite number composed of five prime numbers multiplied together.
972119120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 972119120:
24 × 5 × 7 × 137 × 12671
(2 × 2 × 2 × 2 × 5 × 7 × 137 × 12671)See below for interesting mathematical facts about the number 972119120 from the Numbermatics database.
Names of 972119120
- Cardinal: 972119120 can be written as Nine hundred seventy-two million, one hundred nineteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.7211912 × 108
Factors of 972119120
Divisors of 972119120
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 274 280 548 560 685 959 1096 1370 1918 2192 2740 3836 4795 5480 7672 9590 10960 12671 15344 19180 25342 38360 50684 63355 76720 88697 101368 126710 177394 202736 253420 354788 443485 506840 709576 886970 1013680 1419152 1735927 1773940 3471854 3547880 6943708 7095760 8679635 12151489 13887416 17359270 24302978 27774832 34718540 48605956 60757445 69437080 97211912 121514890 138874160 194423824 243029780 486059560 972119120
- Sum of all divisors σ(n): 2602119168
- Sum of proper divisors (its aliquot sum) s(n): 1630000048
- 972119120 is an abundant number, because the sum of its proper divisors (1630000048) is greater than itself. Its abundance is 657880928
Bases of 972119120
- Binary: 1110011111000101011100010100002
- Hexadecimal: 0x39F15C50
- Base-36: G2RVWW
Squares and roots of 972119120
- 972119120 squared (9721191202) is 945015583469574400
- 972119120 cubed (9721191203) is 918667717388729212502528000
-
The
square root of 972119120 is 31178.8248656037 -
The
cube root of 972119120 is 990.6186386095
Scales and comparisons
How big is 972119120?- 972,119,120 seconds is equal to 30 years, 47 weeks, 2 days, 9 hours, 5 minutes, 20 seconds.
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To count from 1 to 972,119,120 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 972119120 cubic inches would be around 82.6 feet tall.
Recreational maths with 972119120
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