516483968
516,483,968 is an even composite number composed of six prime numbers multiplied together.
516483968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 516483968:
27 × 7 × 11 × 13 × 29 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 29 × 139)See below for interesting mathematical facts about the number 516483968 from the Numbermatics database.
Names of 516483968
- Cardinal: 516483968 can be written as Five hundred sixteen million, four hundred eighty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 5.16483968 × 108
Factors of 516483968
Divisors of 516483968
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 29 32 44 52 56 58 64 77 88 91 104 112 116 128 139 143 154 176 182 203 208 224 232 278 286 308 319 352 364 377 406 416 448 464 556 572 616 638 704 728 754 812 832 896 928 973 1001 1112 1144 1232 1276 1408 1456 1508 1529 1624 1664 1807 1856 1946 2002 2224 2233 2288 2464 2552 2639 2912 3016 3058 3248 3614 3712 3892 4004 4031 4147 4448 4466 4576 4928 5104 5278 5824 6032 6116 6496 7228 7784 8008 8062 8294 8896 8932 9152 9856 10208 10556 10703 11648 12064 12232 12649 12992 14456 15568 16016 16124 16588 17792 17864 18304 19877 20416 21112 21406 24128 24464 25298 25984 28217 28912 29029 31136 32032 32248 33176 35728 39754 40832 42224 42812 44341 48256 48928 50596 52403 56434 57824 58058 62272 64064 64496 66352 71456 79508 84448 85624 88682 97856 101192 104806 112868 115648 116116 124544 128128 128992 132704 139139 142912 159016 168896 171248 177364 195712 202384 209612 225736 231296 232232 257984 265408 278278 285824 310387 318032 337792 342496 354728 366821 404768 419224 451472 464464 515968 530816 556556 576433 620774 636064 684992 709456 733642 809536 838448 902944 928928 1113112 1152866 1241548 1272128 1369984 1418912 1467284 1619072 1676896 1805888 1857856 2226224 2305732 2483096 2544256 2837824 2934568 3353792 3611776 3715712 4035031 4452448 4611464 4966192 5675648 5869136 6707584 8070062 8904896 9222928 9932384 11738272 16140124 17809792 18445856 19864768 23476544 32280248 36891712 39729536 46953088 64560496 73783424 129120992 258241984 516483968
- Sum of all divisors σ(n): 1439424000
- Sum of proper divisors (its aliquot sum) s(n): 922940032
- 516483968 is an abundant number, because the sum of its proper divisors (922940032) is greater than itself. Its abundance is 406456064
Bases of 516483968
- Binary: 111101100100011101011100000002
- Hexadecimal: 0x1EC8EB80
- Base-36: 8JI1KW
Squares and roots of 516483968
- 516483968 squared (5164839682) is 266755689201025024
- 516483968 cubed (5164839683) is 137775036845120154062815232
-
The
square root of 516483968 is 22726.2836381139 -
The
cube root of 516483968 is 802.3286153617
Scales and comparisons
How big is 516483968?- 516,483,968 seconds is equal to 16 years, 21 weeks, 6 days, 19 hours, 46 minutes, 8 seconds.
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To count from 1 to 516,483,968 would take you about twenty-four 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 516483968 cubic inches would be around 66.9 feet tall.
Recreational maths with 516483968
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