130437216
130,437,216 is an even composite number composed of five prime numbers multiplied together.
130437216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 130437216:
25 × 34 × 72 × 13 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 79)See below for interesting mathematical facts about the number 130437216 from the Numbermatics database.
Names of 130437216
- Cardinal: 130437216 can be written as One hundred thirty million, four hundred thirty-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.30437216 × 108
Factors of 130437216
Divisors of 130437216
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 72 78 79 81 84 91 96 98 104 108 112 117 126 144 147 156 158 162 168 182 189 196 208 216 224 234 237 252 273 288 294 312 316 324 336 351 364 378 392 416 432 441 468 474 504 546 553 567 588 624 632 637 648 672 702 711 728 756 784 819 864 882 936 948 1008 1027 1053 1092 1106 1134 1176 1248 1264 1274 1296 1323 1404 1422 1456 1512 1568 1638 1659 1764 1872 1896 1911 2016 2054 2106 2133 2184 2212 2268 2352 2457 2528 2548 2592 2646 2808 2844 2912 3024 3081 3276 3318 3528 3744 3792 3822 3871 3969 4108 4212 4266 4368 4424 4536 4704 4914 4977 5096 5292 5616 5688 5733 6048 6162 6399 6552 6636 7056 7189 7371 7584 7644 7742 7938 8216 8424 8532 8736 8848 9072 9243 9828 9954 10192 10584 11232 11376 11466 11613 12324 12798 13104 13272 14112 14378 14742 14931 15288 15484 15876 16432 16848 17064 17199 17696 18144 18486 19656 19908 20384 21168 21567 22752 22932 23226 24648 25596 26208 26544 27729 28756 29484 29862 30576 30968 31752 32864 33696 34128 34398 34839 36972 39312 39816 42336 43134 44793 45864 46452 49296 50323 51192 51597 53088 55458 57512 58968 59724 61152 61936 63504 64701 68256 68796 69678 73944 78624 79632 83187 86268 89586 91728 92904 98592 100646 102384 103194 104517 110916 115024 117936 119448 123872 127008 129402 137592 139356 147888 150969 159264 166374 172536 179172 183456 185808 194103 201292 204768 206388 209034 221832 230048 235872 238896 258804 275184 278712 295776 301938 313551 332748 345072 358344 371616 388206 402584 412776 418068 443664 452907 477792 517608 550368 557424 582309 603876 627102 665496 690144 716688 776412 805168 825552 836136 887328 905814 1035216 1114848 1164618 1207752 1254204 1330992 1358721 1433376 1552824 1610336 1651104 1672272 1811628 2070432 2329236 2415504 2508408 2661984 2717442 3105648 3344544 3623256 4076163 4658472 4831008 5016816 5434884 6211296 7246512 8152326 9316944 10033632 10869768 14493024 16304652 18633888 21739536 32609304 43479072 65218608 130437216
- Sum of all divisors σ(n): 486652320
- Sum of proper divisors (its aliquot sum) s(n): 356215104
- 130437216 is an abundant number, because the sum of its proper divisors (356215104) is greater than itself. Its abundance is 225777888
Bases of 130437216
- Binary: 1111100011001010000011000002
- Hexadecimal: 0x7C65060
- Base-36: 25NQ00
Squares and roots of 130437216
- 130437216 squared (1304372162) is 17013867317830656
- 130437216 cubed (1304372163) is 2219241486331217928093696
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The
square root of 130437216 is 11420.9113471737 -
The
cube root of 130437216 is 507.1469760501
Scales and comparisons
How big is 130437216?- 130,437,216 seconds is equal to 4 years, 7 weeks, 4 days, 16 hours, 33 minutes, 36 seconds.
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To count from 1 to 130,437,216 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 130437216 cubic inches would be around 42.3 feet tall.
Recreational maths with 130437216
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