972040125
972,040,125 is an odd composite number composed of five prime numbers multiplied together.
972040125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 972040125:
3 × 53 × 7 × 29 × 1132
(3 × 5 × 5 × 5 × 7 × 29 × 113 × 113)See below for interesting mathematical facts about the number 972040125 from the Numbermatics database.
Names of 972040125
- Cardinal: 972040125 can be written as Nine hundred seventy-two million, forty thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 9.72040125 × 108
Factors of 972040125
Divisors of 972040125
- Number of divisors d(n): 96
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Complete list of divisors:
1 3 5 7 15 21 25 29 35 75 87 105 113 125 145 175 203 339 375 435 525 565 609 725 791 875 1015 1695 2175 2373 2625 2825 3045 3277 3625 3955 5075 8475 9831 10875 11865 12769 14125 15225 16385 19775 22939 25375 38307 42375 49155 59325 63845 68817 76125 81925 89383 98875 114695 191535 245775 268149 296625 319225 344085 370301 409625 446915 573475 957675 1110903 1228875 1340745 1596125 1720425 1851505 2234575 2592107 2867375 4788375 5554515 6703725 7776321 8602125 9257525 11172875 12960535 27772575 33518625 38881605 46287625 64802675 138862875 194408025 324013375 972040125
- Sum of all divisors σ(n): 1929358080
- Sum of proper divisors (its aliquot sum) s(n): 957317955
- 972040125 is a deficient number, because the sum of its proper divisors (957317955) is less than itself. Its deficiency is 14722170
Bases of 972040125
- Binary: 1110011111000000100111101111012
- Hexadecimal: 0x39F027BD
- Base-36: G2Q6YL
Squares and roots of 972040125
- 972040125 squared (9720401252) is 944862004610015625
- 972040125 cubed (9720401253) is 918443781068870164376953125
-
The
square root of 972040125 is 31177.5580345863 -
The
cube root of 972040125 is 990.5918051219
Scales and comparisons
How big is 972040125?- 972,040,125 seconds is equal to 30 years, 47 weeks, 1 day, 11 hours, 8 minutes, 45 seconds.
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To count from 1 to 972,040,125 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 972040125 cubic inches would be around 82.5 feet tall.
Recreational maths with 972040125
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