131664000
131,664,000 is an even composite number composed of five prime numbers multiplied together.
131664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 131664000:
27 × 3 × 53 × 13 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 211)See below for interesting mathematical facts about the number 131664000 from the Numbermatics database.
Names of 131664000
- Cardinal: 131664000 can be written as One hundred thirty-one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.31664 × 108
Factors of 131664000
Divisors of 131664000
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 211 240 250 260 300 312 320 325 375 384 390 400 416 422 480 500 520 600 624 633 640 650 750 780 800 832 844 960 975 1000 1040 1055 1200 1248 1266 1300 1500 1560 1600 1625 1664 1688 1920 1950 2000 2080 2110 2400 2496 2532 2600 2743 3000 3120 3165 3200 3250 3376 3900 4000 4160 4220 4800 4875 4992 5064 5200 5275 5486 6000 6240 6330 6500 6752 7800 8000 8229 8320 8440 9600 9750 10128 10400 10550 10972 12000 12480 12660 13000 13504 13715 15600 15825 16000 16458 16880 19500 20256 20800 21100 21944 24000 24960 25320 26000 26375 27008 27430 31200 31650 32916 33760 39000 40512 41145 41600 42200 43888 48000 50640 52000 52750 54860 62400 63300 65832 67520 68575 78000 79125 81024 82290 84400 87776 101280 104000 105500 109720 124800 126600 131664 135040 137150 156000 158250 164580 168800 175552 202560 205725 208000 211000 219440 253200 263328 274300 312000 316500 329160 337600 342875 351104 405120 411450 422000 438880 506400 526656 548600 624000 633000 658320 675200 685750 822900 844000 877760 1012800 1028625 1053312 1097200 1266000 1316640 1371500 1645800 1688000 1755520 2025600 2057250 2194400 2532000 2633280 2743000 3291600 3376000 4114500 4388800 5064000 5266560 5486000 6583200 8229000 8777600 10128000 10972000 13166400 16458000 21944000 26332800 32916000 43888000 65832000 131664000
- Sum of all divisors σ(n): 472268160
- Sum of proper divisors (its aliquot sum) s(n): 340604160
- 131664000 is an abundant number, because the sum of its proper divisors (340604160) is greater than itself. Its abundance is 208940160
Bases of 131664000
- Binary: 1111101100100001000100000002
- Hexadecimal: 0x7D90880
- Base-36: 26E0LC
Squares and roots of 131664000
- 131664000 squared (1316640002) is 17335408896000000
- 131664000 cubed (1316640003) is 2282449276882944000000000
-
The
square root of 131664000 is 11474.4934528719 -
The
cube root of 131664000 is 508.7319516605
Scales and comparisons
How big is 131664000?- 131,664,000 seconds is equal to 4 years, 9 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 131,664,000 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 131664000 cubic inches would be around 42.4 feet tall.
Recreational maths with 131664000
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