315985152
315,985,152 is an even composite number composed of five prime numbers multiplied together.
315985152 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 315985152:
28 × 3 × 7 × 53 × 1109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 53 × 1109)See below for interesting mathematical facts about the number 315985152 from the Numbermatics database.
Names of 315985152
- Cardinal: 315985152 can be written as Three hundred fifteen million, nine hundred eighty-five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 3.15985152 × 108
Factors of 315985152
Divisors of 315985152
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 636 672 742 768 848 896 1109 1113 1272 1344 1484 1696 1792 2218 2226 2544 2688 2968 3327 3392 4436 4452 5088 5376 5936 6654 6784 7763 8872 8904 10176 11872 13308 13568 15526 17744 17808 20352 23289 23744 26616 31052 35488 35616 40704 46578 47488 53232 58777 62104 70976 71232 93156 94976 106464 117554 124208 141952 142464 176331 186312 212928 235108 248416 283904 284928 352662 372624 411439 425856 470216 496832 705324 745248 822878 851712 940432 993664 1234317 1410648 1490496 1645756 1880864 1987328 2468634 2821296 2980992 3291512 3761728 4937268 5642592 5961984 6583024 7523456 9874536 11285184 13166048 15046912 19749072 22570368 26332096 39498144 45140736 52664192 78996288 105328384 157992576 315985152
- Sum of all divisors σ(n): 980138880
- Sum of proper divisors (its aliquot sum) s(n): 664153728
- 315985152 is an abundant number, because the sum of its proper divisors (664153728) is greater than itself. Its abundance is 348168576
Bases of 315985152
- Binary: 100101101010110001101000000002
- Hexadecimal: 0x12D58D00
- Base-36: 584NPC
Squares and roots of 315985152
- 315985152 squared (3159851522) is 99846616284463104
- 315985152 cubed (3159851523) is 31550048223331749155831808
-
The
square root of 315985152 is 17775.9711970963 -
The
cube root of 315985152 is 681.1177924633
Scales and comparisons
How big is 315985152?- 315,985,152 seconds is equal to 10 years, 2 weeks, 3 days, 5 hours, 39 minutes, 12 seconds.
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To count from 1 to 315,985,152 would take you about fifteen 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 315985152 cubic inches would be around 56.8 feet tall.
Recreational maths with 315985152
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