131604984
131,604,984 is an even composite number composed of four prime numbers multiplied together.
131604984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131604984:
23 × 32 × 73 × 732
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 73 × 73)See below for interesting mathematical facts about the number 131604984 from the Numbermatics database.
Names of 131604984
- Cardinal: 131604984 can be written as One hundred thirty-one million, six hundred four thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.31604984 × 108
Factors of 131604984
Divisors of 131604984
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 73 84 98 126 146 147 168 196 219 252 292 294 343 392 438 441 504 511 584 588 657 686 876 882 1022 1029 1176 1314 1372 1533 1752 1764 2044 2058 2628 2744 3066 3087 3528 3577 4088 4116 4599 5256 5329 6132 6174 7154 8232 9198 10658 10731 12264 12348 14308 15987 18396 21316 21462 24696 25039 28616 31974 32193 36792 37303 42632 42924 47961 50078 63948 64386 74606 75117 85848 95922 100156 111909 127896 128772 149212 150234 191844 200312 223818 225351 257544 261121 298424 300468 335727 383688 447636 450702 522242 600936 671454 783363 895272 901404 1044484 1342908 1566726 1802808 1827847 2088968 2350089 2685816 3133452 3655694 4700178 5483541 6266904 7311388 9400356 10967082 14622776 16450623 18800712 21934164 32901246 43868328 65802492 131604984
- Sum of all divisors σ(n): 421434000
- Sum of proper divisors (its aliquot sum) s(n): 289829016
- 131604984 is an abundant number, because the sum of its proper divisors (289829016) is greater than itself. Its abundance is 158224032
Bases of 131604984
- Binary: 1111101100000100001111110002
- Hexadecimal: 0x7D821F8
- Base-36: 26CR20
Squares and roots of 131604984
- 131604984 squared (1316049842) is 17319871813640256
- 131604984 cubed (1316049843) is 2279381452916176872635904
-
The
square root of 131604984 is 11471.9215478489 -
The
cube root of 131604984 is 508.6559303443
Scales and comparisons
How big is 131604984?- 131,604,984 seconds is equal to 4 years, 9 weeks, 4 days, 4 hours, 56 minutes, 24 seconds.
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To count from 1 to 131,604,984 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 131604984 cubic inches would be around 42.4 feet tall.
Recreational maths with 131604984
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