132317952
132,317,952 is an even composite number composed of five prime numbers multiplied together.
132317952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 132317952:
28 × 3 × 13 × 29 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 29 × 457)See below for interesting mathematical facts about the number 132317952 from the Numbermatics database.
Names of 132317952
- Cardinal: 132317952 can be written as One hundred thirty-two million, three hundred seventeen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.32317952 × 108
Factors of 132317952
Divisors of 132317952
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 256 312 348 377 384 416 457 464 624 696 754 768 832 914 928 1131 1248 1371 1392 1508 1664 1828 1856 2262 2496 2742 2784 3016 3328 3656 3712 4524 4992 5484 5568 5941 6032 7312 7424 9048 9984 10968 11136 11882 12064 13253 14624 17823 18096 21936 22272 23764 24128 26506 29248 35646 36192 39759 43872 47528 48256 53012 58496 71292 72384 79518 87744 95056 96512 106024 116992 142584 144768 159036 172289 175488 190112 212048 285168 289536 318072 344578 350976 380224 424096 516867 570336 636144 689156 760448 848192 1033734 1140672 1272288 1378312 1520896 1696384 2067468 2281344 2544576 2756624 3392768 4134936 4562688 5089152 5513248 8269872 10178304 11026496 16539744 22052992 33079488 44105984 66158976 132317952
- Sum of all divisors σ(n): 393183840
- Sum of proper divisors (its aliquot sum) s(n): 260865888
- 132317952 is an abundant number, because the sum of its proper divisors (260865888) is greater than itself. Its abundance is 128547936
Bases of 132317952
- Binary: 1111110001100000011000000002
- Hexadecimal: 0x7E30300
- Base-36: 26S16O
Squares and roots of 132317952
- 132317952 squared (1323179522) is 17508040421474304
- 132317952 cubed (1323179523) is 2316628052102696725905408
-
The
square root of 132317952 is 11502.9540553721 -
The
cube root of 132317952 is 509.5728218399
Scales and comparisons
How big is 132317952?- 132,317,952 seconds is equal to 4 years, 10 weeks, 5 days, 10 hours, 59 minutes, 12 seconds.
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To count from 1 to 132,317,952 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 132317952 cubic inches would be around 42.5 feet tall.
Recreational maths with 132317952
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