132663168
132,663,168 is an even composite number composed of five prime numbers multiplied together.
132663168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 132663168:
27 × 32 × 11 × 192 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19 × 19 × 29)See below for interesting mathematical facts about the number 132663168 from the Numbermatics database.
Names of 132663168
- Cardinal: 132663168 can be written as One hundred thirty-two million, six hundred sixty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.32663168 × 108
Factors of 132663168
Divisors of 132663168
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 29 32 33 36 38 44 48 57 58 64 66 72 76 87 88 96 99 114 116 128 132 144 152 171 174 176 192 198 209 228 232 261 264 288 304 319 342 348 352 361 384 396 418 456 464 522 528 551 576 608 627 638 684 696 704 722 792 836 912 928 957 1044 1056 1083 1102 1152 1216 1254 1276 1368 1392 1408 1444 1584 1653 1672 1824 1856 1881 1914 2088 2112 2166 2204 2432 2508 2552 2736 2784 2871 2888 3168 3249 3306 3344 3648 3712 3762 3828 3971 4176 4224 4332 4408 4959 5016 5104 5472 5568 5742 5776 6061 6336 6498 6612 6688 7296 7524 7656 7942 8352 8664 8816 9918 10032 10208 10469 10944 11136 11484 11552 11913 12122 12672 12996 13224 13376 15048 15312 15884 16704 17328 17632 18183 19836 20064 20416 20938 21888 22968 23104 23826 24244 25992 26448 26752 30096 30624 31407 31768 33408 34656 35264 35739 36366 39672 40128 40832 41876 45936 46208 47652 48488 51984 52896 54549 60192 61248 62814 63536 69312 70528 71478 72732 79344 80256 83752 91872 94221 95304 96976 103968 105792 109098 115159 120384 122496 125628 127072 138624 142956 145464 158688 167504 183744 188442 190608 193952 207936 211584 218196 230318 240768 251256 254144 285912 290928 317376 335008 345477 367488 376884 381216 387904 415872 436392 460636 502512 508288 571824 581856 634752 670016 690954 753768 762432 775808 872784 921272 1005024 1036431 1143648 1163712 1340032 1381908 1507536 1524864 1745568 1842544 2010048 2072862 2287296 2327424 2763816 3015072 3491136 3685088 4020096 4145724 4574592 5527632 6030144 6982272 7370176 8291448 11055264 12060288 14740352 16582896 22110528 33165792 44221056 66331584 132663168
- Sum of all divisors σ(n): 454685400
- Sum of proper divisors (its aliquot sum) s(n): 322022232
- 132663168 is an abundant number, because the sum of its proper divisors (322022232) is greater than itself. Its abundance is 189359064
Bases of 132663168
- Binary: 1111110100001000111100000002
- Hexadecimal: 0x7E84780
- Base-36: 26ZFK0
Squares and roots of 132663168
- 132663168 squared (1326631682) is 17599516143796224
- 132663168 cubed (1326631683) is 2334807566903150622277632
-
The
square root of 132663168 is 11517.9498175673 -
The
cube root of 132663168 is 510.0155935255
Scales and comparisons
How big is 132663168?- 132,663,168 seconds is equal to 4 years, 11 weeks, 2 days, 10 hours, 52 minutes, 48 seconds.
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To count from 1 to 132,663,168 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 132663168 cubic inches would be around 42.5 feet tall.
Recreational maths with 132663168
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