506427012
506,427,012 is an even composite number composed of five prime numbers multiplied together.
506427012 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 506427012:
22 × 33 × 7 × 13 × 2272
(2 × 2 × 3 × 3 × 3 × 7 × 13 × 227 × 227)See below for interesting mathematical facts about the number 506427012 from the Numbermatics database.
Names of 506427012
- Cardinal: 506427012 can be written as Five hundred six million, four hundred twenty-seven thousand and twelve.
Scientific notation
- Scientific notation: 5.06427012 × 108
Factors of 506427012
Divisors of 506427012
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 227 234 252 273 351 364 378 454 468 546 681 702 756 819 908 1092 1362 1404 1589 1638 2043 2457 2724 2951 3178 3276 4086 4767 4914 5902 6129 6356 8172 8853 9534 9828 11804 12258 14301 17706 19068 20657 24516 26559 28602 35412 41314 42903 51529 53118 57204 61971 79677 82628 85806 103058 106236 123942 154587 159354 171612 185913 206116 247884 309174 318708 360703 371826 463761 557739 618348 669877 721406 743652 927522 1082109 1115478 1339754 1391283 1442812 1855044 2009631 2164218 2230956 2679508 2782566 3246327 4019262 4328436 4689139 5565132 6028893 6492654 8038524 9378278 9738981 12057786 12985308 14067417 18086679 18756556 19477962 24115572 28134834 36173358 38955924 42202251 56269668 72346716 84404502 126606753 168809004 253213506 506427012
- Sum of all divisors σ(n): 1623099520
- Sum of proper divisors (its aliquot sum) s(n): 1116672508
- 506427012 is an abundant number, because the sum of its proper divisors (1116672508) is greater than itself. Its abundance is 610245496
Bases of 506427012
- Binary: 111100010111101110110100001002
- Hexadecimal: 0x1E2F7684
- Base-36: 8DIHL0
Squares and roots of 506427012
- 506427012 squared (5064270122) is 256468318483248144
- 506427012 cubed (5064270123) is 129882484202135729620465728
-
The
square root of 506427012 is 22503.9332562111 -
The
cube root of 506427012 is 797.0868065903
Scales and comparisons
How big is 506427012?- 506,427,012 seconds is equal to 16 years, 5 weeks, 2 days, 10 hours, 10 minutes, 12 seconds.
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To count from 1 to 506,427,012 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 506427012 cubic inches would be around 66.4 feet tall.
Recreational maths with 506427012
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