381378816
381,378,816 is an even composite number composed of six prime numbers multiplied together.
381378816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 381378816:
28 × 32 × 7 × 13 × 17 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 107)See below for interesting mathematical facts about the number 381378816 from the Numbermatics database.
Names of 381378816
- Cardinal: 381378816 can be written as Three hundred eighty-one million, three hundred seventy-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.81378816 × 108
Factors of 381378816
Divisors of 381378816
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 107 112 117 119 126 128 136 144 153 156 168 182 192 204 208 214 221 224 234 238 252 256 272 273 288 306 312 321 336 357 364 384 408 416 428 442 448 468 476 504 544 546 576 612 624 642 663 672 714 728 749 768 816 819 832 856 884 896 936 952 963 1008 1071 1088 1092 1152 1224 1248 1284 1326 1344 1391 1428 1456 1498 1547 1632 1638 1664 1712 1768 1792 1819 1872 1904 1926 1989 2016 2142 2176 2184 2247 2304 2448 2496 2568 2652 2688 2782 2856 2912 2996 3094 3264 3276 3328 3424 3536 3638 3744 3808 3852 3978 4032 4173 4284 4352 4368 4494 4641 4896 4992 5136 5304 5376 5457 5564 5712 5824 5992 6188 6528 6552 6741 6848 7072 7276 7488 7616 7704 7956 8064 8346 8568 8736 8988 9282 9737 9792 9984 10272 10608 10914 11128 11424 11648 11984 12376 12519 12733 13056 13104 13482 13696 13923 14144 14552 14976 15232 15408 15912 16128 16371 16692 17136 17472 17976 18564 19474 19584 20544 21216 21828 22256 22848 23296 23647 23968 24752 25038 25466 26208 26964 27392 27846 28288 29104 29211 29952 30464 30816 31824 32742 33384 34272 34944 35952 37128 38199 38948 39168 41088 42432 43656 44512 45696 47294 47936 49504 50076 50932 52416 53928 55692 56576 58208 58422 61632 63648 65484 66768 68544 69888 70941 71904 74256 76398 77896 82176 84864 87312 87633 89024 91392 94588 95872 99008 100152 101864 104832 107856 111384 114597 116416 116844 123264 127296 130968 133536 137088 141882 143808 148512 152796 155792 165529 169728 174624 175266 178048 189176 191744 198016 200304 203728 209664 212823 215712 222768 229194 232832 233688 246528 254592 261936 267072 274176 283764 287616 297024 305592 311584 331058 349248 350532 356096 378352 396032 400608 407456 425646 431424 445536 458388 465664 467376 496587 509184 523872 534144 567528 575232 594048 611184 623168 662116 698496 701064 756704 801216 814912 851292 862848 891072 916776 934752 993174 1047744 1068288 1135056 1188096 1222368 1246336 1324232 1396992 1402128 1489761 1513408 1602432 1629824 1702584 1725696 1782144 1833552 1869504 1986348 2095488 2270112 2444736 2492672 2648464 2804256 2979522 3026816 3204864 3259648 3405168 3564288 3667104 3739008 3972696 4190976 4540224 4889472 5296928 5608512 5959044 6053632 6810336 7334208 7478016 7945392 9080448 9778944 10593856 11217024 11918088 13620672 14668416 15890784 18160896 21187712 22434048 23836176 27241344 29336832 31781568 42375424 47672352 54482688 63563136 95344704 127126272 190689408 381378816
- Sum of all divisors σ(n): 1446367104
- Sum of proper divisors (its aliquot sum) s(n): 1064988288
- 381378816 is an abundant number, because the sum of its proper divisors (1064988288) is greater than itself. Its abundance is 683609472
Bases of 381378816
- Binary: 101101011101101100001000000002
- Hexadecimal: 0x16BB6100
- Base-36: 6B29S0
Squares and roots of 381378816
- 381378816 squared (3813788162) is 145449801293561856
- 381378816 cubed (3813788163) is 55471473004773889064042496
-
The
square root of 381378816 is 19528.9225509241 -
The
cube root of 381378816 is 725.1906377789
Scales and comparisons
How big is 381378816?- 381,378,816 seconds is equal to 12 years, 6 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 381,378,816 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 381378816 cubic inches would be around 60.4 feet tall.
Recreational maths with 381378816
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