242430720
242,430,720 is an even composite number composed of six prime numbers multiplied together.
242430720 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 242430720:
28 × 3 × 5 × 7 × 29 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 311)See below for interesting mathematical facts about the number 242430720 from the Numbermatics database.
Names of 242430720
- Cardinal: 242430720 can be written as Two hundred forty-two million, four hundred thirty thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.4243072 × 108
Factors of 242430720
Divisors of 242430720
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 56 58 60 64 70 80 84 87 96 105 112 116 120 128 140 145 160 168 174 192 203 210 224 232 240 256 280 290 311 320 336 348 384 406 420 435 448 464 480 560 580 609 622 640 672 696 768 812 840 870 896 928 933 960 1015 1120 1160 1218 1244 1280 1344 1392 1555 1624 1680 1740 1792 1856 1866 1920 2030 2177 2240 2320 2436 2488 2688 2784 3045 3110 3248 3360 3480 3712 3732 3840 4060 4354 4480 4640 4665 4872 4976 5376 5568 6090 6220 6496 6531 6720 6960 7424 7464 8120 8708 8960 9019 9280 9330 9744 9952 10885 11136 12180 12440 12992 13062 13440 13920 14928 16240 17416 18038 18560 18660 19488 19904 21770 22272 24360 24880 25984 26124 26880 27057 27840 29856 32480 32655 34832 36076 37120 37320 38976 39808 43540 45095 48720 49760 51968 52248 54114 55680 59712 63133 64960 65310 69664 72152 74640 77952 79616 87080 90190 97440 99520 104496 108228 111360 119424 126266 129920 130620 135285 139328 144304 149280 155904 174160 180380 189399 194880 199040 208992 216456 238848 252532 259840 261240 270570 278656 288608 298560 315665 348320 360760 378798 389760 398080 417984 432912 505064 522480 541140 557312 577216 597120 631330 696640 721520 757596 779520 835968 865824 946995 1010128 1044960 1082280 1154432 1194240 1262660 1393280 1443040 1515192 1671936 1731648 1893990 2020256 2089920 2164560 2308864 2525320 2786560 2886080 3030384 3463296 3787980 4040512 4179840 4329120 5050640 5772160 6060768 6926592 7575960 8081024 8359680 8658240 10101280 11544320 12121536 15151920 16162048 17316480 20202560 24243072 30303840 34632960 40405120 48486144 60607680 80810240 121215360 242430720
- Sum of all divisors σ(n): 918328320
- Sum of proper divisors (its aliquot sum) s(n): 675897600
- 242430720 is an abundant number, because the sum of its proper divisors (675897600) is greater than itself. Its abundance is 433466880
Bases of 242430720
- Binary: 11100111001100110011000000002
- Hexadecimal: 0xE733300
- Base-36: 40C4QO
Squares and roots of 242430720
- 242430720 squared (2424307202) is 58772653999718400
- 242430720 cubed (2424307203) is 14248296825462611509248000
-
The
square root of 242430720 is 15570.1868967589 -
The
cube root of 242430720 is 623.5374613053
Scales and comparisons
How big is 242430720?- 242,430,720 seconds is equal to 7 years, 36 weeks, 5 days, 21 hours, 52 minutes.
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To count from 1 to 242,430,720 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 242430720 cubic inches would be around 52 feet tall.
Recreational maths with 242430720
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