132838272
132,838,272 is an even composite number composed of five prime numbers multiplied together.
132838272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 132838272:
27 × 33 × 7 × 172 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 17 × 19)See below for interesting mathematical facts about the number 132838272 from the Numbermatics database.
Names of 132838272
- Cardinal: 132838272 can be written as One hundred thirty-two million, eight hundred thirty-eight thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.32838272 × 108
Factors of 132838272
Divisors of 132838272
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 51 54 56 57 63 64 68 72 76 84 96 102 108 112 114 119 126 128 133 136 144 152 153 168 171 189 192 204 216 224 228 238 252 266 272 288 289 304 306 323 336 342 357 378 384 399 408 432 448 456 459 476 504 513 532 544 576 578 608 612 646 672 684 714 756 798 816 864 867 896 912 918 952 969 1008 1026 1064 1071 1088 1152 1156 1197 1216 1224 1292 1344 1368 1428 1512 1596 1632 1728 1734 1824 1836 1904 1938 2016 2023 2052 2128 2142 2176 2261 2312 2394 2432 2448 2584 2601 2688 2736 2856 2907 3024 3192 3213 3264 3456 3468 3591 3648 3672 3808 3876 4032 4046 4104 4256 4284 4522 4624 4788 4896 5168 5202 5472 5491 5712 5814 6048 6069 6384 6426 6528 6783 6936 7182 7296 7344 7616 7752 7803 8064 8092 8208 8512 8568 8721 9044 9248 9576 9792 10336 10404 10944 10982 11424 11628 12096 12138 12768 12852 13566 13872 14364 14688 15232 15504 15606 16184 16416 16473 17024 17136 17442 18088 18207 18496 19152 19584 20349 20672 20808 21888 21964 22848 23256 24192 24276 25536 25704 27132 27744 28728 29376 31008 31212 32368 32832 32946 34272 34884 36176 36414 36992 38304 38437 40698 41344 41616 43928 45696 46512 48552 49419 51072 51408 54264 54621 55488 57456 58752 61047 62016 62424 64736 65664 65892 68544 69768 72352 72828 76608 76874 81396 83232 87856 93024 97104 98838 102816 108528 109242 110976 114912 115311 122094 124032 124848 129472 131784 137088 139536 144704 145656 148257 153216 153748 162792 166464 175712 186048 194208 197676 205632 217056 218484 229824 230622 244188 249696 258944 263568 279072 289408 291312 296514 307496 325584 332928 345933 351424 372096 388416 395352 411264 434112 436968 459648 461244 488376 499392 527136 558144 582624 593028 614992 651168 691866 702848 776832 790704 868224 873936 922488 976752 998784 1037799 1054272 1116288 1165248 1186056 1229984 1302336 1383732 1581408 1747872 1844976 1953504 2075598 2108544 2330496 2372112 2459968 2604672 2767464 3162816 3495744 3689952 3907008 4151196 4744224 4919936 5534928 6325632 6991488 7379904 7814016 8302392 9488448 11069856 14759808 16604784 18976896 22139712 33209568 44279424 66419136 132838272
- Sum of all divisors σ(n): 501024000
- Sum of proper divisors (its aliquot sum) s(n): 368185728
- 132838272 is an abundant number, because the sum of its proper divisors (368185728) is greater than itself. Its abundance is 235347456
Bases of 132838272
- Binary: 1111110101011110011100000002
- Hexadecimal: 0x7EAF380
- Base-36: 2736O0
Squares and roots of 132838272
- 132838272 squared (1328382722) is 17646006507945984
- 132838272 cubed (1328382723) is 2344065012216298783899648
-
The
square root of 132838272 is 11525.5486637295 -
The
cube root of 132838272 is 510.2398871473
Scales and comparisons
How big is 132838272?- 132,838,272 seconds is equal to 4 years, 11 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 132,838,272 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 132838272 cubic inches would be around 42.5 feet tall.
Recreational maths with 132838272
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