29628144
29,628,144 is an even composite number composed of six prime numbers multiplied together.
29628144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 29628144:
24 × 32 × 72 × 13 × 17 × 19
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 17 × 19)See below for interesting mathematical facts about the number 29628144 from the Numbermatics database.
Names of 29628144
- Cardinal: 29628144 can be written as Twenty-nine million, six hundred twenty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 2.9628144 × 107
Factors of 29628144
Divisors of 29628144
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 19 21 24 26 28 34 36 38 39 42 48 49 51 52 56 57 63 68 72 76 78 84 91 98 102 104 112 114 117 119 126 133 136 144 147 152 153 156 168 171 182 196 204 208 221 228 234 238 247 252 266 272 273 294 304 306 312 323 336 342 357 364 392 399 408 441 442 456 468 476 494 504 532 546 588 612 624 637 646 663 684 714 728 741 784 798 816 819 833 882 884 912 931 936 952 969 988 1008 1064 1071 1092 1176 1197 1224 1274 1292 1326 1368 1428 1456 1482 1547 1596 1638 1666 1729 1764 1768 1862 1872 1904 1911 1938 1976 1989 2128 2142 2184 2223 2261 2352 2394 2448 2499 2548 2584 2652 2736 2793 2856 2907 2964 3094 3192 3276 3332 3458 3528 3536 3724 3822 3876 3952 3978 4199 4284 4368 4446 4522 4641 4788 4998 5096 5168 5187 5304 5586 5712 5733 5814 5928 6188 6384 6552 6664 6783 6916 7056 7448 7497 7644 7752 7956 8379 8398 8568 8892 9044 9282 9576 9996 10192 10374 10608 10829 11172 11466 11628 11856 12103 12376 12597 13104 13328 13566 13832 13923 14896 14994 15288 15504 15561 15827 15912 16758 16796 17136 17784 18088 18564 19152 19992 20349 20748 21658 22344 22932 23256 24206 24752 25194 27132 27664 27846 29393 29988 30576 31122 31654 31824 32487 33516 33592 35568 36176 36309 37128 37791 39984 40698 41496 43316 44688 45864 46512 47481 48412 50388 54264 55692 58786 59976 62244 63308 64974 67032 67184 72618 74256 75582 81396 82992 86632 88179 91728 94962 96824 97461 100776 108528 108927 111384 117572 119952 124488 126616 129948 134064 142443 145236 151164 162792 173264 176358 189924 193648 194922 201552 205751 217854 222768 235144 248976 253232 259896 264537 284886 290472 302328 325584 352716 379848 389844 411502 435708 470288 519792 529074 569772 580944 604656 617253 705432 759696 779688 823004 871416 1058148 1139544 1234506 1410864 1559376 1646008 1742832 1851759 2116296 2279088 2469012 3292016 3703518 4232592 4938024 7407036 9876048 14814072 29628144
- Sum of all divisors σ(n): 115773840
- Sum of proper divisors (its aliquot sum) s(n): 86145696
- 29628144 is an abundant number, because the sum of its proper divisors (86145696) is greater than itself. Its abundance is 56517552
Bases of 29628144
- Binary: 11100010000010110111100002
- Hexadecimal: 0x1C416F0
- Base-36: HN180
Squares and roots of 29628144
- 29628144 squared (296281442) is 877826916884736
- 29628144 cubed (296281443) is 26008382300536989609984
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The
square root of 29628144 is 5443.1740740123 -
The
cube root of 29628144 is 309.4340837263
Scales and comparisons
How big is 29628144?- 29,628,144 seconds is equal to 48 weeks, 6 days, 22 hours, 2 minutes, 24 seconds.
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To count from 1 to 29,628,144 would take you about twenty-one weeks!
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 29628144 cubic inches would be around 25.8 feet tall.
Recreational maths with 29628144
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"Number 29628144 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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The information we have on file for 29628144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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