315249220
315,249,220 is an even composite number composed of six prime numbers multiplied together.
What does the number 315249220 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 144 divisors.
315249220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 315249220:
22 × 5 × 11 × 132 × 61 × 139
(2 × 2 × 5 × 11 × 13 × 13 × 61 × 139)See below for interesting mathematical facts about the number 315249220 from the Numbermatics database.
Names of 315249220
- Cardinal: 315249220 can be written as Three hundred fifteen million, two hundred forty-nine thousand, two hundred twenty.
Scientific notation
- Scientific notation: 3.1524922 × 108
Factors of 315249220
Divisors of 315249220
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 10 11 13 20 22 26 44 52 55 61 65 110 122 130 139 143 169 220 244 260 278 286 305 338 556 572 610 671 676 695 715 793 845 1220 1342 1390 1430 1529 1586 1690 1807 1859 2684 2780 2860 3058 3172 3355 3380 3614 3718 3965 6116 6710 7228 7436 7645 7930 8479 8723 9035 9295 10309 13420 15290 15860 16958 17446 18070 18590 19877 20618 23491 30580 33916 34892 36140 37180 39754 41236 42395 43615 46982 51545 79508 84790 87230 93269 93964 99385 103090 110227 113399 117455 169580 174460 186538 198770 206180 220454 226798 234910 258401 373076 397540 440908 453596 466345 469820 516802 551135 566995 932690 1033604 1102270 1133990 1212497 1292005 1432951 1865380 2204540 2267980 2424994 2584010 2865902 4849988 5168020 5731804 6062485 7164755 12124970 14329510 15762461 24249940 28659020 31524922 63049844 78812305 157624610 315249220
- Sum of all divisors σ(n): 800573760
- Sum of proper divisors (its aliquot sum) s(n): 485324540
- 315249220 is an abundant number, because the sum of its proper divisors (485324540) is greater than itself. Its abundance is 170075320
Bases of 315249220
- Binary: 100101100101001010010010001002
- Hexadecimal: 0x12CA5244
- Base-36: 57OVUS
Squares and roots of 315249220
- 315249220 squared (3152492202) is 99382070710608400
- 315249220 cubed (3152492203) is 31330120273504143825448000
-
The
square root of 315249220 is 17755.2589392551 -
The
cube root of 315249220 is 680.5886051223
Scales and comparisons
How big is 315249220?- 315,249,220 seconds is equal to 10 years, 1 week, 1 day, 17 hours, 13 minutes, 40 seconds.
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To count from 1 to 315,249,220 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 315249220 cubic inches would be around 56.7 feet tall.
Recreational maths with 315249220
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