516379968
516,379,968 is an even composite number composed of five prime numbers multiplied together.
516379968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 516379968:
26 × 33 × 13 × 127 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 127 × 181)See below for interesting mathematical facts about the number 516379968 from the Numbermatics database.
Names of 516379968
- Cardinal: 516379968 can be written as Five hundred sixteen million, three hundred seventy-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 5.16379968 × 108
Factors of 516379968
Divisors of 516379968
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 127 144 156 181 192 208 216 234 254 288 312 351 362 381 416 432 468 508 543 576 624 702 724 762 832 864 936 1016 1086 1143 1248 1404 1448 1524 1629 1651 1728 1872 2032 2172 2286 2353 2496 2808 2896 3048 3258 3302 3429 3744 4064 4344 4572 4706 4887 4953 5616 5792 6096 6516 6604 6858 7059 7488 8128 8688 9144 9412 9774 9906 11232 11584 12192 13032 13208 13716 14118 14859 17376 18288 18824 19548 19812 21177 22464 22987 24384 26064 26416 27432 28236 29718 34752 36576 37648 39096 39624 42354 44577 45974 52128 52832 54864 56472 59436 63531 68961 73152 75296 78192 79248 84708 89154 91948 104256 105664 109728 112944 118872 127062 137922 150592 156384 158496 169416 178308 183896 206883 219456 225888 237744 254124 275844 298831 312768 316992 338832 356616 367792 413766 451776 475488 508248 551688 597662 620649 677664 713232 735584 827532 896493 950976 1016496 1103376 1195324 1241298 1355328 1426464 1471168 1655064 1792986 2032992 2206752 2390648 2482596 2689479 2852928 3310128 3585972 4065984 4413504 4781296 4965192 5378958 6620256 7171944 8068437 9562592 9930384 10757916 13240512 14343888 16136874 19125184 19860768 21515832 28687776 32273748 39721536 43031664 57375552 64547496 86063328 129094992 172126656 258189984 516379968
- Sum of all divisors σ(n): 1656811520
- Sum of proper divisors (its aliquot sum) s(n): 1140431552
- 516379968 is an abundant number, because the sum of its proper divisors (1140431552) is greater than itself. Its abundance is 624051584
Bases of 516379968
- Binary: 111101100011101010101010000002
- Hexadecimal: 0x1EC75540
- Base-36: 8JFTC0
Squares and roots of 516379968
- 516379968 squared (5163799682) is 266648271351681024
- 516379968 cubed (5163799683) is 137691825827836363919327232
-
The
square root of 516379968 is 22723.9954233405 -
The
cube root of 516379968 is 802.2747590419
Scales and comparisons
How big is 516379968?- 516,379,968 seconds is equal to 16 years, 21 weeks, 5 days, 14 hours, 52 minutes, 48 seconds.
-
To count from 1 to 516,379,968 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 516379968 cubic inches would be around 66.9 feet tall.
Recreational maths with 516379968
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