513742068
513,742,068 is an even composite number composed of five prime numbers multiplied together.
513742068 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 513742068:
22 × 33 × 72 × 193 × 503
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 193 × 503)See below for interesting mathematical facts about the number 513742068 from the Numbermatics database.
Names of 513742068
- Cardinal: 513742068 can be written as Five hundred thirteen million, seven hundred forty-two thousand and sixty-eight.
Scientific notation
- Scientific notation: 5.13742068 × 108
Factors of 513742068
Divisors of 513742068
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 193 196 252 294 378 386 441 503 579 588 756 772 882 1006 1158 1323 1351 1509 1737 1764 2012 2316 2646 2702 3018 3474 3521 4053 4527 5211 5292 5404 6036 6948 7042 8106 9054 9457 10422 10563 12159 13581 14084 16212 18108 18914 20844 21126 24318 24647 27162 28371 31689 36477 37828 42252 48636 49294 54324 56742 63378 72954 73941 85113 95067 97079 98588 113484 126756 145908 147882 170226 190134 194158 221823 255339 291237 295764 340452 380268 388316 443646 510678 582474 665469 679553 873711 887292 1021356 1164948 1330938 1359106 1747422 2038659 2621133 2661876 2718212 3494844 4077318 4756871 5242266 6115977 8154636 9513742 10484532 12231954 14270613 18347931 19027484 24463908 28541226 36695862 42811839 57082452 73391724 85623678 128435517 171247356 256871034 513742068
- Sum of all divisors σ(n): 1560504960
- Sum of proper divisors (its aliquot sum) s(n): 1046762892
- 513742068 is an abundant number, because the sum of its proper divisors (1046762892) is greater than itself. Its abundance is 533020824
Bases of 513742068
- Binary: 111101001111100010100111101002
- Hexadecimal: 0x1E9F14F4
- Base-36: 8HV9X0
Squares and roots of 513742068
- 513742068 squared (5137420682) is 263930912432916624
- 513742068 cubed (5137420683) is 135592412762413497685338432
-
The
square root of 513742068 is 22665.8789372925 -
The
cube root of 513742068 is 800.9062999709
Scales and comparisons
How big is 513742068?- 513,742,068 seconds is equal to 16 years, 17 weeks, 3 days, 2 hours, 7 minutes, 48 seconds.
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To count from 1 to 513,742,068 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 513742068 cubic inches would be around 66.7 feet tall.
Recreational maths with 513742068
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