138264672
138,264,672 is an even composite number composed of six prime numbers multiplied together.
138264672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138264672:
25 × 3 × 73 × 13 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 17 × 19)See below for interesting mathematical facts about the number 138264672 from the Numbermatics database.
Names of 138264672
- Cardinal: 138264672 can be written as One hundred thirty-eight million, two hundred sixty-four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38264672 × 108
Factors of 138264672
Divisors of 138264672
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 19 21 24 26 28 32 34 38 39 42 48 49 51 52 56 57 68 76 78 84 91 96 98 102 104 112 114 119 133 136 147 152 156 168 182 196 204 208 221 224 228 238 247 266 272 273 294 304 312 323 336 343 357 364 392 399 408 416 442 456 476 494 532 544 546 588 608 624 637 646 663 672 686 714 728 741 784 798 816 833 884 912 931 952 969 988 1029 1064 1092 1176 1248 1274 1292 1326 1372 1428 1456 1482 1547 1568 1596 1632 1666 1729 1768 1824 1862 1904 1911 1938 1976 2058 2128 2184 2261 2352 2499 2548 2584 2652 2744 2793 2856 2912 2964 3094 3192 3332 3458 3536 3724 3808 3822 3876 3952 4116 4199 4256 4368 4459 4522 4641 4704 4998 5096 5168 5187 5304 5488 5586 5712 5831 5928 6188 6384 6517 6664 6783 6916 7072 7448 7644 7752 7904 8232 8398 8736 8918 9044 9282 9996 10192 10336 10374 10608 10829 10976 11172 11424 11662 11856 12103 12376 12597 12768 13034 13328 13377 13566 13832 14896 15288 15504 15827 16464 16796 17493 17836 18088 18564 19551 19992 20384 20748 21216 21658 22344 23324 23712 24206 24752 25194 26068 26656 26754 27132 27664 29393 29792 30576 31008 31654 32487 32928 33592 34986 35672 36176 36309 37128 39102 39984 41496 43316 44688 46648 47481 48412 49504 50388 52136 53508 54264 55328 58786 61152 63308 64974 67184 69972 71344 72352 72618 74256 75803 78204 79968 82992 84721 86632 88179 89376 93296 94962 96824 100776 104272 107016 108528 110789 117572 126616 129948 134368 139944 142688 145236 148512 151606 156408 165984 169442 173264 176358 186592 189924 193648 201552 205751 208544 214032 217056 221578 227409 235144 253232 254163 259896 279888 290472 303212 312816 332367 338884 346528 352716 379848 387296 403104 411502 428064 443156 454818 470288 506464 508326 519792 559776 580944 606424 617253 625632 664734 677768 705432 759696 823004 886312 909636 940576 1016652 1039584 1161888 1212848 1234506 1329468 1355536 1410864 1440257 1519392 1646008 1772624 1819272 2033304 2425696 2469012 2658936 2711072 2821728 2880514 3292016 3545248 3638544 4066608 4320771 4938024 5317872 5761028 6584032 7277088 8133216 8641542 9876048 10635744 11522056 17283084 19752096 23044112 34566168 46088224 69132336 138264672
- Sum of all divisors σ(n): 508032000
- Sum of proper divisors (its aliquot sum) s(n): 369767328
- 138264672 is an abundant number, because the sum of its proper divisors (369767328) is greater than itself. Its abundance is 231502656
Bases of 138264672
- Binary: 10000011110111000000011000002
- Hexadecimal: 0x83DC060
- Base-36: 2ABHPC
Squares and roots of 138264672
- 138264672 squared (1382646722) is 19117119523267584
- 138264672 cubed (1382646723) is 2643222260469388869992448
-
The
square root of 138264672 is 11758.5999166567 -
The
cube root of 138264672 is 517.0950843177
Scales and comparisons
How big is 138264672?- 138,264,672 seconds is equal to 4 years, 20 weeks, 4 days, 6 hours, 51 minutes, 12 seconds.
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To count from 1 to 138,264,672 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 138264672 cubic inches would be around 43.1 feet tall.
Recreational maths with 138264672
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