242320680
242,320,680 is an even composite number composed of six prime numbers multiplied together.
242320680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 242320680:
23 × 33 × 5 × 72 × 19 × 241
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 241)See below for interesting mathematical facts about the number 242320680 from the Numbermatics database.
Names of 242320680
- Cardinal: 242320680 can be written as Two hundred forty-two million, three hundred twenty thousand, six hundred eighty.
Scientific notation
- Scientific notation: 2.4232068 × 108
Factors of 242320680
Divisors of 242320680
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 27 28 30 35 36 38 40 42 45 49 54 56 57 60 63 70 72 76 84 90 95 98 105 108 114 120 126 133 135 140 147 152 168 171 180 189 190 196 210 216 228 241 245 252 266 270 280 285 294 315 342 360 378 380 392 399 420 441 456 482 490 504 513 532 540 570 588 630 665 684 723 735 756 760 798 840 855 882 931 945 964 980 1026 1064 1080 1140 1176 1197 1205 1260 1323 1330 1368 1446 1470 1512 1596 1687 1710 1764 1862 1890 1928 1960 1995 2052 2169 2205 2280 2394 2410 2520 2565 2646 2660 2793 2892 2940 3192 3374 3420 3528 3591 3615 3724 3780 3990 4104 4338 4410 4579 4655 4788 4820 5061 5130 5292 5320 5586 5784 5880 5985 6507 6615 6748 6840 7182 7230 7448 7560 7980 8379 8435 8676 8820 9158 9310 9576 9640 10122 10260 10584 10845 11172 11809 11970 13014 13230 13496 13737 13965 14364 14460 15183 15960 16758 16870 17352 17640 17955 18316 18620 20244 20520 21690 22344 22895 23618 23940 25137 25305 26028 26460 27474 27930 28728 28920 30366 32053 32535 33516 33740 35427 35910 36632 37240 40488 41211 41895 43380 45549 45790 47236 47880 50274 50610 52056 52920 54948 55860 59045 60732 64106 65070 67032 67480 68685 70854 71820 75915 82422 83790 86760 91098 91580 94472 96159 100548 101220 106281 109896 111720 118090 121464 123633 125685 128212 130140 137370 141708 143640 151830 160265 164844 167580 177135 182196 183160 192318 201096 202440 206055 212562 224371 227745 236180 247266 251370 256424 260280 274740 283416 288477 303660 318843 320530 329688 335160 354270 364392 384636 412110 425124 448742 455490 472360 480795 494532 502740 531405 549480 576954 607320 618165 637686 641060 673113 708540 769272 824220 850248 865431 897484 910980 961590 989064 1005480 1062810 1121855 1153908 1236330 1275372 1282120 1346226 1417080 1442385 1594215 1648440 1730862 1794968 1821960 1923180 2019339 2125620 2243710 2307816 2472660 2550744 2692452 2884770 3188430 3365565 3461724 3846360 4038678 4251240 4327155 4487420 4945320 5384904 5769540 6058017 6376860 6731130 6923448 8077356 8654310 8974840 10096695 11539080 12116034 12753720 13462260 16154712 17308620 20193390 24232068 26924520 30290085 34617240 40386780 48464136 60580170 80773560 121160340 242320680
- Sum of all divisors σ(n): 993168000
- Sum of proper divisors (its aliquot sum) s(n): 750847320
- 242320680 is an abundant number, because the sum of its proper divisors (750847320) is greater than itself. Its abundance is 508526640
Bases of 242320680
- Binary: 11100111000110000101001010002
- Hexadecimal: 0xE718528
- Base-36: 409RU0
Squares and roots of 242320680
- 242320680 squared (2423206802) is 58719311955662400
- 242320680 cubed (2423206803) is 14228903602228242618432000
-
The
square root of 242320680 is 15566.6528194085 -
The
cube root of 242320680 is 623.4431052127
Scales and comparisons
How big is 242320680?- 242,320,680 seconds is equal to 7 years, 36 weeks, 4 days, 15 hours, 18 minutes.
-
To count from 1 to 242,320,680 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 242320680 cubic inches would be around 52 feet tall.
Recreational maths with 242320680
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