132965952
132,965,952 is an even composite number composed of six prime numbers multiplied together.
132965952 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 132965952:
26 × 3 × 7 × 19 × 41 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 41 × 127)See below for interesting mathematical facts about the number 132965952 from the Numbermatics database.
Names of 132965952
- Cardinal: 132965952 can be written as One hundred thirty-two million, nine hundred sixty-five thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.32965952 × 108
Factors of 132965952
Divisors of 132965952
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 41 42 48 56 57 64 76 82 84 96 112 114 123 127 133 152 164 168 192 224 228 246 254 266 287 304 328 336 381 399 448 456 492 508 532 574 608 656 672 762 779 798 861 889 912 984 1016 1064 1148 1216 1312 1344 1524 1558 1596 1722 1778 1824 1968 2032 2128 2296 2337 2413 2624 2667 3048 3116 3192 3444 3556 3648 3936 4064 4256 4592 4674 4826 5207 5334 5453 6096 6232 6384 6888 7112 7239 7872 8128 8512 9184 9348 9652 10414 10668 10906 12192 12464 12768 13776 14224 14478 15621 16359 16891 18368 18696 19304 20828 21336 21812 24384 24928 25536 27552 28448 28956 31242 32718 33782 36449 37392 38608 41656 42672 43624 49856 50673 55104 56896 57912 62484 65436 67564 72898 74784 77216 83312 85344 87248 98933 101346 109347 115824 124968 130872 135128 145796 149568 154432 166624 170688 174496 197866 202692 218694 231648 249936 261744 270256 291592 296799 333248 348992 395732 405384 437388 463296 499872 523488 540512 583184 593598 692531 791464 810768 874776 999744 1046976 1081024 1166368 1187196 1385062 1582928 1621536 1749552 2077593 2332736 2374392 2770124 3165856 3243072 3499104 4155186 4748784 5540248 6331712 6998208 8310372 9497568 11080496 16620744 18995136 22160992 33241488 44321984 66482976 132965952
- Sum of all divisors σ(n): 436961280
- Sum of proper divisors (its aliquot sum) s(n): 303995328
- 132965952 is an abundant number, because the sum of its proper divisors (303995328) is greater than itself. Its abundance is 171029376
Bases of 132965952
- Binary: 1111110110011100110010000002
- Hexadecimal: 0x7ECE640
- Base-36: 275X6O
Squares and roots of 132965952
- 132965952 squared (1329659522) is 17679944391266304
- 132965952 cubed (1329659523) is 2350830637291784596881408
-
The
square root of 132965952 is 11531.0863321717 -
The
cube root of 132965952 is 510.4033103495
Scales and comparisons
How big is 132965952?- 132,965,952 seconds is equal to 4 years, 11 weeks, 5 days, 22 hours, 59 minutes, 12 seconds.
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To count from 1 to 132,965,952 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 132965952 cubic inches would be around 42.5 feet tall.
Recreational maths with 132965952
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