131419470
131,419,470 is an even composite number composed of six prime numbers multiplied together.
131419470 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 131419470:
2 × 3 × 5 × 72 × 132 × 232
(2 × 3 × 5 × 7 × 7 × 13 × 13 × 23 × 23)See below for interesting mathematical facts about the number 131419470 from the Numbermatics database.
Names of 131419470
- Cardinal: 131419470 can be written as One hundred thirty-one million, four hundred nineteen thousand, four hundred seventy.
Scientific notation
- Scientific notation: 1.3141947 × 108
Factors of 131419470
Divisors of 131419470
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 49 65 69 70 78 91 98 105 115 130 138 147 161 169 182 195 210 230 245 273 294 299 322 338 345 390 455 483 490 507 529 546 598 637 690 735 805 845 897 910 966 1014 1058 1127 1183 1274 1365 1470 1495 1587 1610 1690 1794 1911 2093 2254 2366 2415 2535 2645 2730 2990 3174 3185 3381 3549 3703 3822 3887 4186 4485 4830 5070 5290 5635 5915 6279 6370 6762 6877 7098 7406 7774 7935 8281 8970 9555 10465 11109 11270 11661 11830 12558 13754 14651 15870 16562 16905 17745 18515 19110 19435 20631 20930 22218 23322 24843 25921 27209 29302 31395 33810 34385 35490 37030 38870 41262 41405 43953 48139 49686 51842 54418 55545 58305 62790 68770 73255 77763 81627 82810 87906 89401 96278 103155 111090 116610 124215 129605 136045 144417 146510 155526 163254 178802 190463 206310 219765 240695 248430 259210 268203 272090 288834 336973 380926 388815 408135 439530 447005 481390 536406 571389 625807 673946 722085 777630 816270 894010 952315 1010919 1142778 1251614 1341015 1444170 1684865 1877421 1904630 2021838 2682030 2856945 3129035 3369730 3754842 4380649 5054595 5713890 6258070 8761298 9387105 10109190 13141947 18774210 21903245 26283894 43806490 65709735 131419470
- Sum of all divisors σ(n): 415320696
- Sum of proper divisors (its aliquot sum) s(n): 283901226
- 131419470 is an abundant number, because the sum of its proper divisors (283901226) is greater than itself. Its abundance is 152481756
Bases of 131419470
- Binary: 1111101010101001101010011102
- Hexadecimal: 0x7D54D4E
- Base-36: 268RWU
Squares and roots of 131419470
- 131419470 squared (1314194702) is 17271077095080900
- 131419470 cubed (1314194703) is 2269755798164671485123000
-
The
square root of 131419470 is 11463.8331285831 -
The
cube root of 131419470 is 508.4168128301
Scales and comparisons
How big is 131419470?- 131,419,470 seconds is equal to 4 years, 9 weeks, 2 days, 1 hour, 24 minutes, 30 seconds.
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To count from 1 to 131,419,470 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 131419470 cubic inches would be around 42.4 feet tall.
Recreational maths with 131419470
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