132883296
132,883,296 is an even composite number composed of six prime numbers multiplied together.
132883296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 132883296:
25 × 3 × 72 × 13 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 41 × 53)See below for interesting mathematical facts about the number 132883296 from the Numbermatics database.
Names of 132883296
- Cardinal: 132883296 can be written as One hundred thirty-two million, eight hundred eighty-three thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.32883296 × 108
Factors of 132883296
Divisors of 132883296
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 41 42 48 49 52 53 56 78 82 84 91 96 98 104 106 112 123 147 156 159 164 168 182 196 208 212 224 246 273 287 294 312 318 328 336 364 371 392 416 424 492 533 546 574 588 624 636 637 656 672 689 728 742 784 848 861 984 1066 1092 1113 1148 1176 1248 1272 1274 1312 1378 1456 1484 1568 1599 1696 1722 1911 1968 2009 2067 2132 2173 2184 2226 2296 2352 2544 2548 2597 2756 2912 2968 3198 3444 3731 3822 3936 4018 4134 4264 4346 4368 4452 4592 4704 4823 5088 5096 5194 5512 5936 6027 6396 6519 6888 7462 7644 7791 8036 8268 8528 8692 8736 8904 9184 9646 10192 10388 11024 11193 11872 12054 12792 13038 13776 14469 14924 15211 15288 15582 16072 16536 17056 17384 17808 19292 20384 20776 22048 22386 24108 25584 26076 26117 27552 28249 28938 29848 30422 30576 31164 32144 33072 33761 34768 35616 38584 41552 44772 45633 48216 51168 52152 52234 56498 57876 59696 60844 61152 62328 64288 66144 67522 69536 77168 78351 83104 84747 89544 91266 96432 101283 104304 104468 106477 112996 115752 119392 121688 124656 135044 154336 156702 169494 179088 182532 192864 197743 202566 208608 208936 212954 225992 231504 243376 249312 270088 313404 319431 338988 358176 365064 395486 405132 417872 425908 451984 463008 486752 540176 593229 626808 638862 677976 730128 790972 810264 835744 851816 903968 1080352 1186458 1253616 1277724 1355952 1384201 1460256 1581944 1620528 1703632 2372916 2507232 2555448 2711904 2768402 3163888 3241056 3407264 4152603 4745832 5110896 5536804 6327776 8305206 9491664 10221792 11073608 16610412 18983328 22147216 33220824 44294432 66441648 132883296
- Sum of all divisors σ(n): 456085728
- Sum of proper divisors (its aliquot sum) s(n): 323202432
- 132883296 is an abundant number, because the sum of its proper divisors (323202432) is greater than itself. Its abundance is 190319136
Bases of 132883296
- Binary: 1111110101110100011011000002
- Hexadecimal: 0x7EBA360
- Base-36: 2745EO
Squares and roots of 132883296
- 132883296 squared (1328832962) is 17657970355823616
- 132883296 cubed (1328832963) is 2346449301552134888718336
-
The
square root of 132883296 is 11527.5017241379 -
The
cube root of 132883296 is 510.2975272771
Scales and comparisons
How big is 132883296?- 132,883,296 seconds is equal to 4 years, 11 weeks, 5 days, 1 minute, 36 seconds.
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To count from 1 to 132,883,296 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 132883296 cubic inches would be around 42.5 feet tall.
Recreational maths with 132883296
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