131430115746468
131,430,115,746,468 is an even composite number composed of seven prime numbers multiplied together.
131430115746468 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 131430115746468:
22 × 33 × 72 × 11 × 173 × 193 × 67
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 17 × 17 × 17 × 19 × 19 × 19 × 67)See below for interesting mathematical facts about the number 131430115746468 from the Numbermatics database.
Names of 131430115746468
- Cardinal: 131430115746468 can be written as One hundred thirty-one trillion, four hundred thirty billion, one hundred fifteen million, seven hundred forty-six thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31430115746468 × 1014
Factors of 131430115746468
Divisors of 131430115746468
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 17 18 19 21 22 27 28 33 34 36 38 42 44 49 51 54 57 63 66 67 68 76 77 84 98 99 102 108 114 119 126 132 133 134 147 153 154 171 187 189 196 198 201 204 209 228 231 238 252 266 268 289 294 297 306 308 323 342 357 361 374 378 396 399 402 418 441 459 462 469 476 513 532 539 561 578 588 594 603 612 627 646 684 693 714 722 737 748 756 798 804 833 836 867 882 918 924 931 938 969 1026 1071 1078 1083 1122 1139 1156 1188 1197 1206 1254 1273 1292 1309 1323 1386 1407 1428 1444 1463 1474 1596 1617 1666 1683 1734 1764 1809 1836 1862 1876 1881 1938 2023 2052 2079 2142 2156 2166 2211 2244 2261 2278 2394 2412 2499 2508 2527 2546 2601 2618 2646 2772 2793 2814 2907 2926 2948 3179 3213 3234 3249 3283 3332 3366 3417 3468 3553 3591 3618 3724 3762 3819 3876 3927 3971 4046 4158 4221 4284 4332 4389 4422 4522 4556 4788 4851 4913 4998 5049 5054 5092 5159 5202 5236 5292 5491 5586 5628 5643 5814 5852 6069 6137 6358 6426 6468 6498 6566 6633 6732 6783 6834 6859 7106 7182 7236 7497 7524 7581 7638 7803 7854 7942 7973 8092 8316 8379 8442 8721 8778 8844 8911 9044 9163 9537 9702 9747 9826 9849 9996 10098 10108 10241 10251 10318 10404 10659 10982 11172 11286 11457 11628 11781 11913 12138 12274 12529 12663 12716 12852 12996 13132 13167 13266 13566 13668 13718 14003 14161 14212 14364 14553 14739 14994 15162 15276 15477 15606 15708 15827 15884 15946 16473 16758 16884 17442 17556 17689 17822 18207 18326 18411 19074 19363 19404 19494 19652 19698 19899 20196 20349 20482 20502 20577 20636 21318 21641 21964 22253 22491 22572 22743 22914 23562 23826 23919 24187 24276 24548 24871 25058 25137 25326 26334 26532 26733 27132 27436 27489 27797 28006 28322 28611 29106 29478 29547 29988 30324 30723 30753 30954 31212 31654 31892 31977 32946 33516 34371 34391 34884 35343 35378 35644 35739 36113 36414 36652 36822 37587 38148 38437 38726 38988 39396 39501 39798 40698 40964 41004 41154 42009 42483 42636 42959 43282 44217 44506 44982 45486 45828 46431 47124 47481 47652 47838 48013 48374 49419 49742 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644265273267 653881172868 663788463366 670561815033 695397437812 702834843564 768597168108 853442310042 859020364356 894082420044 980821759302 988196358996 995682695049 1043096156718 1104454754172 1152895752162 1216945516171 1288530546534 1327576926732 1341123630066 1564644235077 1706884620084 1729343628243 1932795819801 1961643518604 1991365390098 2086192313436 2305791504324 2433891032342 2577061093068 2682247260132 2987048085147 3129288470154 3458687256486 3650836548513 3865591639602 3982730780196 4693932705231 4867782064684 5974096170294 6258576940308 6917374512972 7301673097026 7731183279204 9387865410462 10952509645539 11948192340588 14603346194052 18775730820924 21905019291078 32857528936617 43810038582156 65715057873234 131430115746468
- Sum of all divisors σ(n): 492189239808000
- Sum of proper divisors (its aliquot sum) s(n): 360759124061532
- 131430115746468 is an abundant number, because the sum of its proper divisors (360759124061532) is greater than itself. Its abundance is 229329008315064
Bases of 131430115746468
- Binary: 111011110001000111101010101110010100010101001002
- Hexadecimal: 0x7788F55CA2A4
- Base-36: 1AL65THNL0
Squares and roots of 131430115746468
- 131430115746468 squared (1314301157464682) is 17273875325129975724854475024
- 131430115746468 cubed (1314301157464683) is 2270307433371890265663954730049618022215232
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The
square root of 131430115746468 is 11464297.4379797037 -
The
cube root of 131430115746468 is 50843.0540705593
Scales and comparisons
How big is 131430115746468?- 131,430,115,746,468 seconds is equal to 4,179,071 years, 7 weeks, 2 days, 5 hours, 7 minutes, 48 seconds.
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To count from 1 to 131,430,115,746,468 would take you about ten million, four hundred forty-seven thousand, six hundred seventy-seven 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 131430115746468 cubic inches would be around 4236.9 feet tall.
Recreational maths with 131430115746468
- 131430115746468 backwards is 864647511034131
- 131430115746468 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131430115746468's digits is 54
- More coming soon!
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The information we have on file for 131430115746468 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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