968328640
968,328,640 is an even composite number composed of five prime numbers multiplied together.
968328640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 968328640:
26 × 5 × 61 × 113 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 61 × 113 × 439)See below for interesting mathematical facts about the number 968328640 from the Numbermatics database.
Names of 968328640
- Cardinal: 968328640 can be written as Nine hundred sixty-eight million, three hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 9.6832864 × 108
Factors of 968328640
Divisors of 968328640
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 61 64 80 113 122 160 226 244 305 320 439 452 488 565 610 878 904 976 1130 1220 1756 1808 1952 2195 2260 2440 3512 3616 3904 4390 4520 4880 6893 7024 7232 8780 9040 9760 13786 14048 17560 18080 19520 26779 27572 28096 34465 35120 36160 49607 53558 55144 68930 70240 99214 107116 110288 133895 137860 140480 198428 214232 220576 248035 267790 275720 396856 428464 441152 496070 535580 551440 793712 856928 992140 1071160 1102880 1587424 1713856 1984280 2142320 2205760 3026027 3174848 3968560 4284640 6052054 7937120 8569280 12104108 15130135 15874240 24208216 30260270 48416432 60520540 96832864 121041080 193665728 242082160 484164320 968328640
- Sum of all divisors σ(n): 2369759040
- Sum of proper divisors (its aliquot sum) s(n): 1401430400
- 968328640 is an abundant number, because the sum of its proper divisors (1401430400) is greater than itself. Its abundance is 433101760
Bases of 968328640
- Binary: 1110011011011110000101110000002
- Hexadecimal: 0x39B785C0
- Base-36: G0IN5S
Squares and roots of 968328640
- 968328640 squared (9683286402) is 937660355044249600
- 968328640 cubed (9683286403) is 907963376381915354988544000
-
The
square root of 968328640 is 31117.9793688473 -
The
cube root of 968328640 is 989.3294237915
Scales and comparisons
How big is 968328640?- 968,328,640 seconds is equal to 30 years, 41 weeks, 12 hours, 10 minutes, 40 seconds.
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To count from 1 to 968,328,640 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 968328640 cubic inches would be around 82.4 feet tall.
Recreational maths with 968328640
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