513421216
513,421,216 is an even composite number composed of five prime numbers multiplied together.
513421216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 513421216:
25 × 72 × 11 × 172 × 103
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 17 × 17 × 103)See below for interesting mathematical facts about the number 513421216 from the Numbermatics database.
Names of 513421216
- Cardinal: 513421216 can be written as Five hundred thirteen million, four hundred twenty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 5.13421216 × 108
Factors of 513421216
Divisors of 513421216
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 103 112 119 136 154 176 187 196 206 224 238 272 289 308 352 374 392 412 476 539 544 578 616 721 748 784 824 833 952 1078 1133 1156 1232 1309 1442 1496 1568 1648 1666 1751 1904 2023 2156 2266 2312 2464 2618 2884 2992 3179 3296 3332 3502 3808 4046 4312 4532 4624 5047 5236 5768 5984 6358 6664 7004 7931 8092 8624 9064 9163 9248 10094 10472 11536 12257 12716 13328 14008 14161 15862 16184 17248 18128 18326 19261 20188 20944 22253 23072 24514 25432 26656 28016 28322 29767 31724 32368 36256 36652 38522 40376 41888 44506 49028 50864 55517 56032 56644 59534 63448 64736 73304 77044 80752 85799 89012 98056 101728 111034 113288 119068 126896 134827 146608 154088 155771 161504 171598 178024 196112 208369 222068 226576 238136 253792 269654 293216 308176 311542 327437 343196 356048 392224 416738 444136 453152 476272 539308 616352 623084 654874 686392 712096 833476 888272 943789 952544 1078616 1246168 1309748 1372784 1458583 1666952 1776544 1887578 2157232 2292059 2492336 2619496 2745568 2917166 3333904 3775156 4314464 4584118 4984672 5238992 5834332 6667808 7550312 9168236 10477984 11668664 15100624 16044413 18336472 23337328 30201248 32088826 36672944 46674656 64177652 73345888 128355304 256710608 513421216
- Sum of all divisors σ(n): 1375841376
- Sum of proper divisors (its aliquot sum) s(n): 862420160
- 513421216 is an abundant number, because the sum of its proper divisors (862420160) is greater than itself. Its abundance is 348998944
Bases of 513421216
- Binary: 111101001101000101111101000002
- Hexadecimal: 0x1E9A2FA0
- Base-36: 8HOECG
Squares and roots of 513421216
- 513421216 squared (5134212162) is 263601345038918656
- 513421216 cubed (5134212163) is 135338523109117183688605696
-
The
square root of 513421216 is 22658.7999682243 -
The
cube root of 513421216 is 800.7395328201
Scales and comparisons
How big is 513421216?- 513,421,216 seconds is equal to 16 years, 16 weeks, 6 days, 9 hours, 16 seconds.
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To count from 1 to 513,421,216 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 513421216 cubic inches would be around 66.7 feet tall.
Recreational maths with 513421216
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