514427144
514,427,144 is an even composite number composed of five prime numbers multiplied together.
514427144 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 514427144:
23 × 7 × 112 × 312 × 79
(2 × 2 × 2 × 7 × 11 × 11 × 31 × 31 × 79)See below for interesting mathematical facts about the number 514427144 from the Numbermatics database.
Names of 514427144
- Cardinal: 514427144 can be written as Five hundred fourteen million, four hundred twenty-seven thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 5.14427144 × 108
Factors of 514427144
Divisors of 514427144
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 22 28 31 44 56 62 77 79 88 121 124 154 158 217 242 248 308 316 341 434 484 553 616 632 682 847 868 869 961 968 1106 1364 1694 1736 1738 1922 2212 2387 2449 2728 3388 3476 3751 3844 4424 4774 4898 6083 6727 6776 6952 7502 7688 9548 9559 9796 10571 12166 13454 15004 17143 19096 19118 19592 21142 24332 26257 26908 26939 30008 34286 38236 42284 48664 52514 53816 53878 66913 68572 73997 75919 76472 84568 105028 107756 116281 133826 137144 147994 151838 188573 210056 215512 232562 267652 295988 296329 303676 377146 465124 531433 535304 591976 592658 607352 754292 813967 835109 930248 1062866 1185316 1508584 1627934 1670218 2074303 2125732 2370632 3255868 3340436 4148606 4251464 5845763 6511736 6680872 8297212 9186199 11691526 16594424 18372398 23383052 36744796 46766104 64303393 73489592 128606786 257213572 514427144
- Sum of all divisors σ(n): 1267862400
- Sum of proper divisors (its aliquot sum) s(n): 753435256
- 514427144 is an abundant number, because the sum of its proper divisors (753435256) is greater than itself. Its abundance is 239008112
Bases of 514427144
- Binary: 111101010100110001001000010002
- Hexadecimal: 0x1EA98908
- Base-36: 8I9YIW
Squares and roots of 514427144
- 514427144 squared (5144271442) is 264635286483996736
- 514427144 cubed (5144271443) is 136135574627584242605801984
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The
square root of 514427144 is 22680.9863983029 -
The
cube root of 514427144 is 801.2621451897
Scales and comparisons
How big is 514427144?- 514,427,144 seconds is equal to 16 years, 18 weeks, 4 days, 25 minutes, 44 seconds.
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To count from 1 to 514,427,144 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 514427144 cubic inches would be around 66.8 feet tall.
Recreational maths with 514427144
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