131530464
131,530,464 is an even composite number composed of five prime numbers multiplied together.
131530464 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 131530464:
25 × 32 × 13 × 19 × 432
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 43 × 43)See below for interesting mathematical facts about the number 131530464 from the Numbermatics database.
Names of 131530464
- Cardinal: 131530464 can be written as One hundred thirty-one million, five hundred thirty thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.31530464 × 108
Factors of 131530464
Divisors of 131530464
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 43 48 52 57 72 76 78 86 96 104 114 117 129 144 152 156 171 172 208 228 234 247 258 288 304 312 342 344 387 416 456 468 494 516 559 608 624 684 688 741 774 817 912 936 988 1032 1118 1248 1368 1376 1482 1548 1634 1677 1824 1849 1872 1976 2064 2223 2236 2451 2736 2964 3096 3268 3354 3698 3744 3952 4128 4446 4472 4902 5031 5472 5547 5928 6192 6536 6708 7353 7396 7904 8892 8944 9804 10062 10621 11094 11856 12384 13072 13416 14706 14792 16641 17784 17888 19608 20124 21242 22188 23712 24037 26144 26832 29412 29584 31863 33282 35131 35568 39216 40248 42484 44376 48074 53664 58824 59168 63726 66564 70262 71136 72111 78432 80496 84968 88752 95589 96148 105393 117648 127452 133128 140524 144222 160992 169936 177504 191178 192296 210786 216333 235296 254904 266256 281048 288444 316179 339872 382356 384592 421572 432666 456703 509808 532512 562096 576888 632358 764712 769184 843144 865332 913406 1019616 1124192 1153776 1264716 1370109 1529424 1686288 1730664 1826812 2307552 2529432 2740218 3058848 3372576 3461328 3653624 4110327 5058864 5480436 6922656 7307248 8220654 10117728 10960872 14614496 16441308 21921744 32882616 43843488 65765232 131530464
- Sum of all divisors σ(n): 434102760
- Sum of proper divisors (its aliquot sum) s(n): 302572296
- 131530464 is an abundant number, because the sum of its proper divisors (302572296) is greater than itself. Its abundance is 171041832
Bases of 131530464
- Binary: 1111101011011111110111000002
- Hexadecimal: 0x7D6FEE0
- Base-36: 26B5K0
Squares and roots of 131530464
- 131530464 squared (1315304642) is 17300262960055296
- 131530464 cubed (1315304643) is 2275511614458086548537344
-
The
square root of 131530464 is 11468.6731577807 -
The
cube root of 131530464 is 508.5599051141
Scales and comparisons
How big is 131530464?- 131,530,464 seconds is equal to 4 years, 9 weeks, 3 days, 8 hours, 14 minutes, 24 seconds.
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To count from 1 to 131,530,464 would take you about six 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 131530464 cubic inches would be around 42.4 feet tall.
Recreational maths with 131530464
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