131912820
131,912,820 is an even composite number composed of seven prime numbers multiplied together.
131912820 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131912820:
22 × 33 × 5 × 13 × 19 × 23 × 43
(2 × 2 × 3 × 3 × 3 × 5 × 13 × 19 × 23 × 43)See below for interesting mathematical facts about the number 131912820 from the Numbermatics database.
Names of 131912820
- Cardinal: 131912820 can be written as One hundred thirty-one million, nine hundred twelve thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3191282 × 108
Factors of 131912820
Divisors of 131912820
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 19 20 23 26 27 30 36 38 39 43 45 46 52 54 57 60 65 69 76 78 86 90 92 95 108 114 115 117 129 130 135 138 156 171 172 180 190 195 207 215 228 230 234 247 258 260 270 276 285 299 342 345 351 380 387 390 414 430 437 460 468 494 513 516 540 559 570 585 598 621 645 684 690 702 741 774 780 817 828 855 860 874 897 988 989 1026 1035 1118 1140 1161 1170 1196 1235 1242 1290 1311 1380 1404 1482 1495 1548 1634 1677 1710 1748 1755 1794 1935 1978 2052 2070 2185 2223 2236 2322 2340 2451 2470 2484 2565 2580 2622 2691 2795 2964 2967 2990 3105 3268 3354 3420 3510 3588 3705 3870 3933 3956 4085 4140 4370 4446 4485 4644 4902 4940 4945 5031 5130 5244 5382 5590 5681 5805 5934 5980 6210 6555 6669 6708 7020 7353 7410 7740 7866 8073 8170 8385 8740 8892 8901 8970 9804 9890 10062 10260 10621 10764 11115 11180 11362 11610 11799 11868 12255 12420 12857 13110 13338 13455 14706 14820 14835 15093 15732 16146 16340 16770 17043 17802 17940 18791 19665 19780 20124 21242 22059 22230 22724 23220 23598 24510 25155 25714 26220 26676 26703 26910 28405 29412 29670 30186 31863 32292 33345 33540 34086 35604 36765 37582 38571 39330 40365 42484 44118 44460 44505 47196 49020 50310 51129 51428 53105 53406 53820 56373 56810 58995 59340 60372 63726 64285 66690 68172 73530 75164 75465 77142 78660 80730 85215 88236 89010 93955 95589 100620 102258 106210 106812 110295 112746 113620 115713 117990 127452 128570 133380 133515 147060 150930 153387 154284 159315 161460 169119 170430 178020 187910 191178 192855 204516 212420 220590 225492 231426 235980 244283 255645 257140 267030 281865 286767 301860 306774 318630 338238 340860 347139 375820 382356 385710 441180 462852 477945 488566 507357 511290 534060 563730 573534 578565 613548 637260 676476 694278 732849 766935 771420 845595 955890 977132 1014714 1022580 1127460 1147068 1157130 1221415 1388556 1433835 1465698 1533870 1691190 1735695 1911780 2029428 2198547 2314260 2442830 2536785 2867670 2931396 3067740 3382380 3471390 3664245 4397094 4885660 5073570 5735340 6595641 6942780 7328490 8794188 10147140 10992735 13191282 14656980 21985470 26382564 32978205 43970940 65956410 131912820
- Sum of all divisors σ(n): 496742400
- Sum of proper divisors (its aliquot sum) s(n): 364829580
- 131912820 is an abundant number, because the sum of its proper divisors (364829580) is greater than itself. Its abundance is 232916760
Bases of 131912820
- Binary: 1111101110011010100011101002
- Hexadecimal: 0x7DCD474
- Base-36: 26JCL0
Squares and roots of 131912820
- 131912820 squared (1319128202) is 17400992080352400
- 131912820 cubed (1319128203) is 2295413936116951677768000
-
The
square root of 131912820 is 11485.3306439127 -
The
cube root of 131912820 is 509.0522189793
Scales and comparisons
How big is 131912820?- 131,912,820 seconds is equal to 4 years, 10 weeks, 18 hours, 27 minutes.
-
To count from 1 to 131,912,820 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 131912820 cubic inches would be around 42.4 feet tall.
Recreational maths with 131912820
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