130567164
130,567,164 is an even composite number composed of seven prime numbers multiplied together.
130567164 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 130567164:
22 × 3 × 72 × 13 × 19 × 29 × 31
(2 × 2 × 3 × 7 × 7 × 13 × 19 × 29 × 31)See below for interesting mathematical facts about the number 130567164 from the Numbermatics database.
Names of 130567164
- Cardinal: 130567164 can be written as One hundred thirty million, five hundred sixty-seven thousand, one hundred sixty-four.
Scientific notation
- Scientific notation: 1.30567164 × 108
Factors of 130567164
Divisors of 130567164
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 12 13 14 19 21 26 28 29 31 38 39 42 49 52 57 58 62 76 78 84 87 91 93 98 114 116 124 133 147 156 174 182 186 196 203 217 228 247 266 273 294 348 364 372 377 399 403 406 434 494 532 546 551 588 589 609 637 651 741 754 798 806 812 868 899 931 988 1092 1102 1131 1178 1209 1218 1274 1302 1421 1482 1508 1519 1596 1612 1653 1729 1767 1798 1862 1911 2204 2262 2356 2418 2436 2548 2604 2639 2697 2793 2821 2842 2964 3038 3306 3458 3534 3596 3724 3822 3857 4123 4263 4524 4557 4836 5187 5278 5394 5586 5642 5684 6076 6293 6612 6916 7068 7163 7644 7657 7714 7917 8246 8463 8526 9114 10374 10556 10788 11172 11284 11571 11687 12103 12369 12586 14326 15314 15428 15834 16492 16926 17052 17081 18228 18473 18879 19747 20748 21489 22971 23142 23374 24206 24738 25172 26999 28652 28861 30628 31668 33852 34162 35061 36309 36946 37758 39494 42978 44051 45942 46284 46748 48412 49476 50141 51243 53599 53998 55419 57722 59241 68324 70122 72618 73892 75516 78988 80997 81809 85956 86583 88102 91884 100282 102486 107198 107996 110838 115444 118482 119567 132153 140244 145236 150423 160797 161994 163618 173166 176204 200564 204972 214396 221676 222053 236964 239134 245427 264306 300846 321594 323988 327236 346332 350987 358701 375193 444106 478268 490854 528612 572663 601692 643188 666159 701974 717402 750386 836969 888212 981708 1052961 1125579 1145326 1332318 1403948 1434804 1500772 1554371 1673938 1717989 2105922 2251158 2290652 2510907 2664636 3108742 3347876 3435978 4211844 4502316 4663113 5021814 6217484 6871956 9326226 10043628 10880597 18652452 21761194 32641791 43522388 65283582 130567164
- Sum of all divisors σ(n): 429004800
- Sum of proper divisors (its aliquot sum) s(n): 298437636
- 130567164 is an abundant number, because the sum of its proper divisors (298437636) is greater than itself. Its abundance is 167870472
Bases of 130567164
- Binary: 1111100100001001011111111002
- Hexadecimal: 0x7C84BFC
- Base-36: 25QI9O
Squares and roots of 130567164
- 130567164 squared (1305671642) is 17047784315002896
- 130567164 cubed (1305671643) is 2225880850493610782506944
-
The
square root of 130567164 is 11426.5989690719 -
The
cube root of 130567164 is 507.3153351127
Scales and comparisons
How big is 130567164?- 130,567,164 seconds is equal to 4 years, 7 weeks, 6 days, 4 hours, 39 minutes, 24 seconds.
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To count from 1 to 130,567,164 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 130567164 cubic inches would be around 42.3 feet tall.
Recreational maths with 130567164
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