382800132
382,800,132 is an even composite number composed of seven prime numbers multiplied together.
382800132 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 382800132:
22 × 32 × 11 × 13 × 23 × 53 × 61
(2 × 2 × 3 × 3 × 11 × 13 × 23 × 53 × 61)See below for interesting mathematical facts about the number 382800132 from the Numbermatics database.
Names of 382800132
- Cardinal: 382800132 can be written as Three hundred eighty-two million, eight hundred thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 3.82800132 × 108
Factors of 382800132
Divisors of 382800132
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 9 11 12 13 18 22 23 26 33 36 39 44 46 52 53 61 66 69 78 92 99 106 117 122 132 138 143 156 159 183 198 207 212 234 244 253 276 286 299 318 366 396 414 429 468 477 506 549 572 583 598 636 671 689 732 759 793 828 858 897 954 1012 1098 1166 1196 1219 1287 1342 1378 1403 1518 1586 1716 1749 1794 1908 2013 2067 2196 2277 2332 2379 2438 2574 2684 2691 2756 2806 3036 3172 3233 3289 3498 3588 3657 4026 4134 4209 4554 4758 4876 5148 5247 5382 5612 6039 6201 6466 6578 6996 7137 7314 7579 8052 8268 8418 8723 9108 9516 9699 9867 10494 10764 10971 12078 12402 12627 12932 13156 13409 14274 14628 15158 15433 15847 16836 17446 18239 19398 19734 20988 21942 22737 24156 24804 25254 26169 26818 28548 29097 29601 30316 30866 31694 34892 35563 36478 38796 39468 40227 42029 43884 45474 46299 47541 50508 52338 53636 54717 58194 59202 61732 63388 68211 71126 72956 74359 78507 80454 84058 90948 92598 95082 104676 106689 109434 116388 118404 120681 126087 136422 138897 142252 142623 148718 157014 160908 164151 168116 174317 185196 190164 200629 213378 218868 223077 241362 252174 272844 277794 285246 297436 314028 320067 328302 348634 378261 401258 426756 446154 462319 482724 504348 522951 555588 570492 601887 640134 656604 669231 697268 756522 802516 817949 892308 924638 966667 1045902 1203774 1280268 1338462 1386957 1513044 1568853 1635898 1805661 1849276 1933334 2091804 2407548 2453847 2676924 2773914 2900001 3137706 3271796 3611322 3866668 4160871 4907694 5547828 5800002 6275412 7222644 7361541 8321742 8700003 9815388 10633337 11600004 14723082 16643484 17400006 21266674 29446164 31900011 34800012 42533348 63800022 95700033 127600044 191400066 382800132
- Sum of all divisors σ(n): 1228421376
- Sum of proper divisors (its aliquot sum) s(n): 845621244
- 382800132 is an abundant number, because the sum of its proper divisors (845621244) is greater than itself. Its abundance is 462821112
Bases of 382800132
- Binary: 101101101000100010001000001002
- Hexadecimal: 0x16D11104
- Base-36: 6BWQH0
Squares and roots of 382800132
- 382800132 squared (3828001322) is 146535941059217424
- 382800132 cubed (3828001323) is 56093977580212649723899968
-
The
square root of 382800132 is 19565.2787355561 -
The
cube root of 382800132 is 726.0903969583
Scales and comparisons
How big is 382800132?- 382,800,132 seconds is equal to 12 years, 8 weeks, 6 days, 13 hours, 22 minutes, 12 seconds.
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To count from 1 to 382,800,132 would take you about eighteen 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 382800132 cubic inches would be around 60.5 feet tall.
Recreational maths with 382800132
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