132414464
132,414,464 is an even composite number composed of four prime numbers multiplied together.
132414464 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 132414464:
210 × 73 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 29)See below for interesting mathematical facts about the number 132414464 from the Numbermatics database.
Names of 132414464
- Cardinal: 132414464 can be written as One hundred thirty-two million, four hundred fourteen thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.32414464 × 108
Factors of 132414464
Divisors of 132414464
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 29 32 49 52 56 58 64 91 98 104 112 116 128 182 196 203 208 224 232 256 343 364 377 392 406 416 448 464 512 637 686 728 754 784 812 832 896 928 1024 1274 1372 1421 1456 1508 1568 1624 1664 1792 1856 2548 2639 2744 2842 2912 3016 3136 3248 3328 3584 3712 4459 5096 5278 5488 5684 5824 6032 6272 6496 6656 7168 7424 8918 9947 10192 10556 10976 11368 11648 12064 12544 12992 13312 14848 17836 18473 19894 20384 21112 21952 22736 23296 24128 25088 25984 29696 35672 36946 39788 40768 42224 43904 45472 46592 48256 50176 51968 71344 73892 79576 81536 84448 87808 90944 93184 96512 103936 129311 142688 147784 159152 163072 168896 175616 181888 193024 207872 258622 285376 295568 318304 326144 337792 351232 363776 386048 517244 570752 591136 636608 652288 675584 727552 1034488 1141504 1182272 1273216 1351168 1455104 2068976 2283008 2364544 2546432 2702336 4137952 4566016 4729088 5092864 8275904 9458176 10185728 16551808 18916352 33103616 66207232 132414464
- Sum of all divisors σ(n): 343896000
- Sum of proper divisors (its aliquot sum) s(n): 211481536
- 132414464 is an abundant number, because the sum of its proper divisors (211481536) is greater than itself. Its abundance is 79067072
Bases of 132414464
- Binary: 1111110010001111100000000002
- Hexadecimal: 0x7E47C00
- Base-36: 26U3NK
Squares and roots of 132414464
- 132414464 squared (1324144642) is 17533590276407296
- 132414464 cubed (1324144643) is 2321700958446083945529344
-
The
square root of 132414464 is 11507.1483869809 -
The
cube root of 132414464 is 509.6966849517
Scales and comparisons
How big is 132414464?- 132,414,464 seconds is equal to 4 years, 10 weeks, 6 days, 13 hours, 47 minutes, 44 seconds.
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To count from 1 to 132,414,464 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 132414464 cubic inches would be around 42.5 feet tall.
Recreational maths with 132414464
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