131376960
131,376,960 is an even composite number composed of six prime numbers multiplied together.
131376960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 131376960:
26 × 32 × 5 × 112 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 13 × 29)See below for interesting mathematical facts about the number 131376960 from the Numbermatics database.
Names of 131376960
- Cardinal: 131376960 can be written as One hundred thirty-one million, three hundred seventy-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3137696 × 108
Factors of 131376960
Divisors of 131376960
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 29 30 32 33 36 39 40 44 45 48 52 55 58 60 64 65 66 72 78 80 87 88 90 96 99 104 110 116 117 120 121 130 132 143 144 145 156 160 165 174 176 180 192 195 198 208 220 232 234 240 242 260 261 264 286 288 290 312 319 320 330 348 352 360 363 377 390 396 416 429 435 440 464 468 480 484 495 520 522 528 572 576 580 585 605 624 638 660 696 704 715 720 726 754 780 792 832 858 870 880 928 936 957 960 968 990 1040 1044 1056 1089 1131 1144 1160 1170 1210 1248 1276 1287 1305 1320 1392 1430 1440 1452 1508 1560 1573 1584 1595 1716 1740 1760 1815 1856 1872 1885 1914 1936 1980 2080 2088 2112 2145 2178 2262 2288 2320 2340 2420 2496 2552 2574 2610 2640 2784 2860 2871 2880 2904 3016 3120 3146 3168 3190 3393 3432 3480 3509 3520 3630 3744 3770 3828 3872 3960 4147 4160 4176 4290 4356 4524 4576 4640 4680 4719 4785 4840 5104 5148 5220 5280 5445 5568 5655 5720 5742 5808 6032 6240 6292 6336 6380 6435 6786 6864 6960 7018 7260 7488 7540 7656 7744 7865 7920 8294 8352 8580 8712 9048 9152 9280 9360 9438 9570 9680 10208 10296 10440 10527 10560 10890 11310 11440 11484 11616 12064 12441 12480 12584 12760 12870 13572 13728 13920 14036 14157 14355 14520 15080 15312 15730 15840 16588 16704 16965 17160 17424 17545 18096 18720 18876 19140 19360 20416 20592 20735 20880 21054 21780 22620 22880 22968 23232 23595 24128 24882 25168 25520 25740 27144 27456 27840 28072 28314 28710 29040 30160 30624 31460 31581 31680 33176 33930 34320 34848 35090 36192 37323 37440 37752 38280 38720 41184 41470 41760 42108 43560 45240 45617 45760 45936 47190 49764 50336 51040 51480 52635 54288 56144 56628 57420 58080 60320 61248 62205 62920 63162 66352 67860 68640 69696 70180 70785 72384 74646 75504 76560 82368 82940 83520 84216 87120 90480 91234 91872 94380 99528 100672 102080 102960 105270 108576 112288 113256 114840 116160 120640 124410 125840 126324 132704 135720 136851 137280 140360 141570 149292 151008 153120 157905 165880 168432 174240 180960 182468 183744 186615 188760 199056 205920 210540 217152 224576 226512 228085 229680 248820 251680 252648 265408 271440 273702 280720 283140 298584 302016 306240 315810 331760 336864 348480 361920 364936 373230 377520 398112 410553 411840 421080 453024 456170 459360 497640 503360 505296 542880 547404 561440 566280 597168 631620 663520 673728 684255 729872 746460 755040 796224 821106 842160 906048 912340 918720 995280 1010592 1085760 1094808 1122880 1132560 1194336 1263240 1327040 1368510 1459744 1492920 1510080 1642212 1684320 1824680 1990560 2021184 2052765 2189616 2265120 2388672 2526480 2737020 2919488 2985840 3284424 3368640 3649360 3981120 4105530 4379232 4530240 5052960 5474040 5971680 6568848 7298720 8211060 8758464 10105920 10948080 11943360 13137696 14597440 16422120 21896160 26275392 32844240 43792320 65688480 131376960
- Sum of all divisors σ(n): 553349160
- Sum of proper divisors (its aliquot sum) s(n): 421972200
- 131376960 is an abundant number, because the sum of its proper divisors (421972200) is greater than itself. Its abundance is 290595240
Bases of 131376960
- Binary: 1111101010010100111010000002
- Hexadecimal: 0x7D4A740
- Base-36: 267V40
Squares and roots of 131376960
- 131376960 squared (1313769602) is 17259905618841600
- 131376960 cubed (1313769603) is 2267553930090328129536000
-
The
square root of 131376960 is 11461.9788867367 -
The
cube root of 131376960 is 508.3619880529
Scales and comparisons
How big is 131376960?- 131,376,960 seconds is equal to 4 years, 9 weeks, 1 day, 13 hours, 36 minutes.
-
To count from 1 to 131,376,960 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 131376960 cubic inches would be around 42.4 feet tall.
Recreational maths with 131376960
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