132138864
132,138,864 is an even composite number composed of six prime numbers multiplied together.
132138864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 132138864:
24 × 34 × 11 × 13 × 23 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 23 × 31)See below for interesting mathematical facts about the number 132138864 from the Numbermatics database.
Names of 132138864
- Cardinal: 132138864 can be written as One hundred thirty-two million, one hundred thirty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.32138864 × 108
Factors of 132138864
Divisors of 132138864
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 31 33 36 39 44 46 48 52 54 62 66 69 72 78 81 88 92 93 99 104 108 117 124 132 138 143 144 156 162 176 184 186 198 207 208 216 234 248 253 264 276 279 286 297 299 312 324 341 351 368 372 396 403 414 429 432 468 496 506 528 552 558 572 594 598 621 624 648 682 702 713 744 759 792 806 828 837 858 891 897 936 1012 1023 1053 1104 1116 1144 1188 1196 1209 1242 1287 1296 1364 1404 1426 1488 1518 1584 1612 1656 1674 1716 1782 1794 1863 1872 2024 2046 2106 2139 2232 2277 2288 2376 2392 2418 2484 2511 2574 2691 2728 2808 2852 3036 3069 3224 3289 3312 3348 3432 3564 3588 3627 3726 3861 4048 4092 4212 4278 4433 4464 4554 4752 4784 4836 4968 5022 5148 5382 5456 5616 5704 6072 6138 6417 6448 6578 6696 6831 6864 7128 7176 7254 7452 7722 7843 8073 8184 8424 8556 8866 9108 9207 9269 9672 9867 9936 10044 10296 10764 10881 11408 11583 12144 12276 12834 13156 13299 13392 13662 14256 14352 14508 14904 15444 15686 16146 16368 16848 17112 17732 18216 18414 18538 19251 19344 19734 20088 20493 20592 21528 21762 23166 23529 24219 24552 25668 26312 26598 27324 27621 27807 29016 29601 29808 30888 31372 32292 32643 34224 35464 36432 36828 37076 38502 39468 39897 40176 40986 43056 43524 46332 47058 48438 49104 51336 52624 53196 54648 55242 55614 57753 58032 59202 61776 62744 64584 65286 70587 70928 73656 74152 77004 78936 79794 81972 83421 87048 88803 92664 94116 96876 101959 102672 106392 109296 110484 111228 115506 118404 119691 125488 129168 130572 141174 147312 148304 154008 157872 159588 163944 166842 174096 177606 185328 188232 193752 203918 211761 212784 220968 222456 231012 236808 239382 250263 261144 266409 282348 305877 308016 319176 327888 333684 355212 359073 376464 387504 407836 423522 441936 444912 462024 473616 478764 500526 522288 532818 564696 611754 635283 638352 667368 710424 718146 750789 815672 847044 917631 924048 957528 1001052 1065636 1129392 1223508 1270566 1334736 1420848 1436292 1501578 1631344 1694088 1835262 1915056 2002104 2131272 2447016 2541132 2752893 2872584 3003156 3388176 3670524 4004208 4262544 4894032 5082264 5505786 5745168 6006312 7341048 8258679 10164528 11011572 12012624 14682096 16517358 22023144 33034716 44046288 66069432 132138864
- Sum of all divisors σ(n): 483969024
- Sum of proper divisors (its aliquot sum) s(n): 351830160
- 132138864 is an abundant number, because the sum of its proper divisors (351830160) is greater than itself. Its abundance is 219691296
Bases of 132138864
- Binary: 1111110000001000111011100002
- Hexadecimal: 0x7E04770
- Base-36: 26O700
Squares and roots of 132138864
- 132138864 squared (1321388642) is 17460679379210496
- 132138864 cubed (1321388643) is 2307234337837100158316544
-
The
square root of 132138864 is 11495.1669844331 -
The
cube root of 132138864 is 509.3428213529
Scales and comparisons
How big is 132138864?- 132,138,864 seconds is equal to 4 years, 10 weeks, 3 days, 9 hours, 14 minutes, 24 seconds.
-
To count from 1 to 132,138,864 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 132138864 cubic inches would be around 42.4 feet tall.
Recreational maths with 132138864
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