131072960
131,072,960 is an even composite number composed of five prime numbers multiplied together.
131072960 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 131072960:
26 × 5 × 31 × 73 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 31 × 73 × 181)See below for interesting mathematical facts about the number 131072960 from the Numbermatics database.
Names of 131072960
- Cardinal: 131072960 can be written as One hundred thirty-one million, seventy-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3107296 × 108
Factors of 131072960
Divisors of 131072960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 8 10 16 20 31 32 40 62 64 73 80 124 146 155 160 181 248 292 310 320 362 365 496 584 620 724 730 905 992 1168 1240 1448 1460 1810 1984 2263 2336 2480 2896 2920 3620 4526 4672 4960 5611 5792 5840 7240 9052 9920 11222 11315 11584 11680 13213 14480 18104 22444 22630 23360 26426 28055 28960 36208 44888 45260 52852 56110 57920 66065 72416 89776 90520 105704 112220 132130 144832 179552 181040 211408 224440 264260 359104 362080 409603 422816 448880 528520 724160 819206 845632 897760 1057040 1638412 1795520 2048015 2114080 3276824 4096030 4228160 6553648 8192060 13107296 16384120 26214592 32768240 65536480 131072960
- Sum of all divisors σ(n): 328403712
- Sum of proper divisors (its aliquot sum) s(n): 197330752
- 131072960 is an abundant number, because the sum of its proper divisors (197330752) is greater than itself. Its abundance is 66257792
Bases of 131072960
- Binary: 1111101000000000011110000002
- Hexadecimal: 0x7D003C0
- Base-36: 261CJK
Squares and roots of 131072960
- 131072960 squared (1310729602) is 17180120843161600
- 131072960 cubed (1310729603) is 2251849292070886670336000
-
The
square root of 131072960 is 11448.7099709967 -
The
cube root of 131072960 is 507.9695767839
Scales and comparisons
How big is 131072960?- 131,072,960 seconds is equal to 4 years, 8 weeks, 5 days, 1 hour, 9 minutes, 20 seconds.
-
To count from 1 to 131,072,960 would take you about 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 131072960 cubic inches would be around 42.3 feet tall.
Recreational maths with 131072960
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