131088960
131,088,960 is an even composite number composed of five prime numbers multiplied together.
131088960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 131088960:
26 × 32 × 5 × 23 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 1979)See below for interesting mathematical facts about the number 131088960 from the Numbermatics database.
Names of 131088960
- Cardinal: 131088960 can be written as One hundred thirty-one million, eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3108896 × 108
Factors of 131088960
Divisors of 131088960
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 64 69 72 80 90 92 96 115 120 138 144 160 180 184 192 207 230 240 276 288 320 345 360 368 414 460 480 552 576 690 720 736 828 920 960 1035 1104 1380 1440 1472 1656 1840 1979 2070 2208 2760 2880 3312 3680 3958 4140 4416 5520 5937 6624 7360 7916 8280 9895 11040 11874 13248 15832 16560 17811 19790 22080 23748 29685 31664 33120 35622 39580 45517 47496 59370 63328 66240 71244 79160 89055 91034 94992 118740 126656 136551 142488 158320 178110 182068 189984 227585 237480 273102 284976 316640 356220 364136 379968 409653 455170 474960 546204 569952 633280 682755 712440 728272 819306 910340 949920 1092408 1139904 1365510 1424880 1456544 1638612 1820680 1899840 2048265 2184816 2731020 2849760 2913088 3277224 3641360 4096530 4369632 5462040 5699520 6554448 7282720 8193060 8739264 10924080 13108896 14565440 16386120 21848160 26217792 32772240 43696320 65544480 131088960
- Sum of all divisors σ(n): 470733120
- Sum of proper divisors (its aliquot sum) s(n): 339644160
- 131088960 is an abundant number, because the sum of its proper divisors (339644160) is greater than itself. Its abundance is 208555200
Bases of 131088960
- Binary: 1111101000001000010010000002
- Hexadecimal: 0x7D04240
- Base-36: 261OW0
Squares and roots of 131088960
- 131088960 squared (1310889602) is 17184315433881600
- 131088960 cubed (1310889603) is 2252674038539487707136000
-
The
square root of 131088960 is 11449.4087183575 -
The
cube root of 131088960 is 507.9902451267
Scales and comparisons
How big is 131088960?- 131,088,960 seconds is equal to 4 years, 8 weeks, 5 days, 5 hours, 36 minutes.
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To count from 1 to 131,088,960 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 131088960 cubic inches would be around 42.3 feet tall.
Recreational maths with 131088960
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