231813120
231,813,120 is an even composite number composed of five prime numbers multiplied together.
231813120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 231813120:
212 × 3 × 5 × 73 × 11
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 11)See below for interesting mathematical facts about the number 231813120 from the Numbermatics database.
Names of 231813120
- Cardinal: 231813120 can be written as Two hundred thirty-one million, eight hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.3181312 × 108
Factors of 231813120
Divisors of 231813120
- Number of divisors d(n): 416
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 49 55 56 60 64 66 70 77 80 84 88 96 98 105 110 112 120 128 132 140 147 154 160 165 168 176 192 196 210 220 224 231 240 245 256 264 280 294 308 320 330 336 343 352 384 385 392 420 440 448 462 480 490 512 528 539 560 588 616 640 660 672 686 704 735 768 770 784 840 880 896 924 960 980 1024 1029 1056 1078 1120 1155 1176 1232 1280 1320 1344 1372 1408 1470 1536 1540 1568 1617 1680 1715 1760 1792 1848 1920 1960 2048 2058 2112 2156 2240 2310 2352 2464 2560 2640 2688 2695 2744 2816 2940 3072 3080 3136 3234 3360 3430 3520 3584 3696 3773 3840 3920 4096 4116 4224 4312 4480 4620 4704 4928 5120 5145 5280 5376 5390 5488 5632 5880 6144 6160 6272 6468 6720 6860 7040 7168 7392 7546 7680 7840 8085 8232 8448 8624 8960 9240 9408 9856 10240 10290 10560 10752 10780 10976 11264 11319 11760 12288 12320 12544 12936 13440 13720 14080 14336 14784 15092 15360 15680 16170 16464 16896 17248 17920 18480 18816 18865 19712 20480 20580 21120 21504 21560 21952 22528 22638 23520 24640 25088 25872 26880 27440 28160 28672 29568 30184 30720 31360 32340 32928 33792 34496 35840 36960 37632 37730 39424 41160 42240 43008 43120 43904 45056 45276 47040 49280 50176 51744 53760 54880 56320 56595 59136 60368 61440 62720 64680 65856 67584 68992 71680 73920 75264 75460 78848 82320 84480 86016 86240 87808 90552 94080 98560 100352 103488 107520 109760 112640 113190 118272 120736 125440 129360 131712 135168 137984 143360 147840 150528 150920 157696 164640 168960 172480 175616 181104 188160 197120 200704 206976 215040 219520 225280 226380 236544 241472 250880 258720 263424 275968 295680 301056 301840 315392 329280 337920 344960 351232 362208 376320 394240 413952 430080 439040 452760 473088 482944 501760 517440 526848 551936 591360 602112 603680 658560 675840 689920 702464 724416 752640 788480 827904 878080 905520 946176 965888 1003520 1034880 1053696 1103872 1182720 1207360 1317120 1379840 1404928 1448832 1505280 1576960 1655808 1756160 1811040 1931776 2069760 2107392 2207744 2365440 2414720 2634240 2759680 2897664 3010560 3311616 3512320 3622080 3863552 4139520 4214784 4730880 4829440 5268480 5519360 5795328 6623232 7024640 7244160 7727104 8279040 9658880 10536960 11038720 11590656 14488320 15454208 16558080 19317760 21073920 23181312 28976640 33116160 38635520 46362624 57953280 77271040 115906560 231813120
- Sum of all divisors σ(n): 943603200
- Sum of proper divisors (its aliquot sum) s(n): 711790080
- 231813120 is an abundant number, because the sum of its proper divisors (711790080) is greater than itself. Its abundance is 479976960
Bases of 231813120
- Binary: 11011101000100110000000000002
- Hexadecimal: 0xDD13000
- Base-36: 3U0K5C
Squares and roots of 231813120
- 231813120 squared (2318131202) is 53737322604134400
- 231813120 cubed (2318131203) is 12457016413310920163328000
-
The
square root of 231813120 is 15225.4103392979 -
The
cube root of 231813120 is 614.2983338725
Scales and comparisons
How big is 231813120?- 231,813,120 seconds is equal to 7 years, 19 weeks, 2 days, 32 minutes.
-
To count from 1 to 231,813,120 would take you about eleven 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 231813120 cubic inches would be around 51.2 feet tall.
Recreational maths with 231813120
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