381308928
381,308,928 is an even composite number composed of six prime numbers multiplied together.
381308928 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 381308928:
212 × 3 × 7 × 11 × 13 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 31)See below for interesting mathematical facts about the number 381308928 from the Numbermatics database.
Names of 381308928
- Cardinal: 381308928 can be written as Three hundred eighty-one million, three hundred eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 3.81308928 × 108
Factors of 381308928
Divisors of 381308928
- Number of divisors d(n): 416
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 31 32 33 39 42 44 48 52 56 62 64 66 77 78 84 88 91 93 96 104 112 124 128 132 143 154 156 168 176 182 186 192 208 217 224 231 248 256 264 273 286 308 312 336 341 352 364 372 384 403 416 429 434 448 462 496 512 528 546 572 616 624 651 672 682 704 728 744 768 806 832 858 868 896 924 992 1001 1023 1024 1056 1092 1144 1209 1232 1248 1302 1344 1364 1408 1456 1488 1536 1612 1664 1716 1736 1792 1848 1984 2002 2046 2048 2112 2184 2288 2387 2418 2464 2496 2604 2688 2728 2816 2821 2912 2976 3003 3072 3224 3328 3432 3472 3584 3696 3968 4004 4092 4096 4224 4368 4433 4576 4774 4836 4928 4992 5208 5376 5456 5632 5642 5824 5952 6006 6144 6448 6656 6864 6944 7161 7168 7392 7936 8008 8184 8448 8463 8736 8866 9152 9548 9672 9856 9984 10416 10752 10912 11264 11284 11648 11904 12012 12288 12896 13299 13312 13728 13888 14322 14336 14784 15872 16016 16368 16896 16926 17472 17732 18304 19096 19344 19712 19968 20832 21504 21824 22528 22568 23296 23808 24024 25792 26598 26624 27456 27776 28644 28672 29568 31031 31744 32032 32736 33792 33852 34944 35464 36608 38192 38688 39424 39936 41664 43008 43648 45056 45136 46592 47616 48048 51584 53196 53248 54912 55552 57288 59136 62062 63488 64064 65472 67584 67704 69888 70928 73216 76384 77376 78848 79872 83328 86016 87296 90272 93093 93184 95232 96096 103168 106392 109824 111104 114576 118272 124124 126976 128128 130944 135168 135408 139776 141856 146432 152768 154752 157696 159744 166656 174592 180544 186186 186368 190464 192192 206336 212784 219648 222208 229152 236544 248248 256256 261888 270816 279552 283712 292864 305536 309504 315392 333312 349184 361088 372372 372736 380928 384384 412672 425568 439296 444416 458304 473088 496496 512512 523776 541632 559104 567424 585728 611072 619008 666624 698368 722176 744744 768768 825344 851136 878592 888832 916608 946176 992992 1025024 1047552 1083264 1118208 1134848 1222144 1238016 1333248 1396736 1444352 1489488 1537536 1650688 1702272 1757184 1833216 1985984 2050048 2095104 2166528 2269696 2444288 2476032 2666496 2888704 2978976 3075072 3404544 3666432 3971968 4100096 4190208 4333056 4539392 4888576 4952064 5777408 5957952 6150144 6809088 7332864 7943936 8666112 9078784 9777152 11554816 11915904 12300288 13618176 14665728 15887872 17332224 18157568 23831808 27236352 29331456 31775744 34664448 47663616 54472704 63551488 95327232 127102976 190654464 381308928
- Sum of all divisors σ(n): 1409114112
- Sum of proper divisors (its aliquot sum) s(n): 1027805184
- 381308928 is an abundant number, because the sum of its proper divisors (1027805184) is greater than itself. Its abundance is 646496256
Bases of 381308928
- Binary: 101101011101001010000000000002
- Hexadecimal: 0x16BA5000
- Base-36: 6B0RUO
Squares and roots of 381308928
- 381308928 squared (3813089282) is 145396498572509184
- 381308928 cubed (3813089283) is 55440983005637007221194752
-
The
square root of 381308928 is 19527.1331229141 -
The
cube root of 381308928 is 725.1463378009
Scales and comparisons
How big is 381308928?- 381,308,928 seconds is equal to 12 years, 6 weeks, 3 days, 7 hours, 8 minutes, 48 seconds.
-
To count from 1 to 381,308,928 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 381308928 cubic inches would be around 60.4 feet tall.
Recreational maths with 381308928
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