242068320
242,068,320 is an even composite number composed of six prime numbers multiplied together.
242068320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 242068320:
25 × 32 × 5 × 13 × 67 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 67 × 193)See below for interesting mathematical facts about the number 242068320 from the Numbermatics database.
Names of 242068320
- Cardinal: 242068320 can be written as Two hundred forty-two million, sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.4206832 × 108
Factors of 242068320
Divisors of 242068320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 67 72 78 80 90 96 104 117 120 130 134 144 156 160 180 193 195 201 208 234 240 260 268 288 312 335 360 386 390 402 416 468 480 520 536 579 585 603 624 670 720 772 780 804 871 936 965 1005 1040 1072 1158 1170 1206 1248 1340 1440 1544 1560 1608 1737 1742 1872 1930 2010 2080 2144 2316 2340 2412 2509 2613 2680 2895 3015 3088 3120 3216 3474 3484 3744 3860 4020 4355 4632 4680 4824 5018 5226 5360 5790 6030 6176 6240 6432 6948 6968 7527 7720 7839 8040 8685 8710 9264 9360 9648 10036 10452 10720 11580 12060 12545 12931 13065 13896 13936 15054 15440 15678 16080 17370 17420 18528 18720 19296 20072 20904 22581 23160 24120 25090 25862 26130 27792 27872 30108 30880 31356 32160 34740 34840 37635 38793 39195 40144 41808 45162 46320 48240 50180 51724 52260 55584 60216 62712 64655 69480 69680 75270 77586 78390 80288 83616 90324 92640 96480 100360 103448 104520 112905 116379 120432 125424 129310 138960 139360 150540 155172 156780 168103 180648 193965 200720 206896 209040 225810 232758 240864 250848 258620 277920 301080 310344 313560 336206 361296 387930 401440 413792 418080 451620 465516 504309 517240 581895 602160 620688 627120 672412 722592 775860 840515 903240 931032 1008618 1034480 1163790 1204320 1241376 1254240 1344824 1512927 1551720 1681030 1806480 1862064 2017236 2068960 2327580 2521545 2689648 3025854 3103440 3362060 3612960 3724128 4034472 4655160 5043090 5379296 6051708 6206880 6724120 7564635 8068944 9310320 10086180 12103416 13448240 15129270 16137888 18620640 20172360 24206832 26896480 30258540 40344720 48413664 60517080 80689440 121034160 242068320
- Sum of all divisors σ(n): 907556832
- Sum of proper divisors (its aliquot sum) s(n): 665488512
- 242068320 is an abundant number, because the sum of its proper divisors (665488512) is greater than itself. Its abundance is 423420192
Bases of 242068320
- Binary: 11100110110110101011011000002
- Hexadecimal: 0xE6DAB60
- Base-36: 404D40
Squares and roots of 242068320
- 242068320 squared (2420683202) is 58597071547622400
- 242068320 cubed (2420683203) is 14184494666452754362368000
-
The
square root of 242068320 is 15558.5449191111 -
The
cube root of 242068320 is 623.2266059435
Scales and comparisons
How big is 242068320?- 242,068,320 seconds is equal to 7 years, 36 weeks, 1 day, 17 hours, 12 minutes.
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To count from 1 to 242,068,320 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 242068320 cubic inches would be around 51.9 feet tall.
Recreational maths with 242068320
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