242432190
242,432,190 is an even composite number composed of seven prime numbers multiplied together.
242432190 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 242432190:
2 × 34 × 5 × 7 × 11 × 132 × 23
(2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 13 × 23)See below for interesting mathematical facts about the number 242432190 from the Numbermatics database.
Names of 242432190
- Cardinal: 242432190 can be written as Two hundred forty-two million, four hundred thirty-two thousand, one hundred ninety.
Scientific notation
- Scientific notation: 2.4243219 × 108
Factors of 242432190
Divisors of 242432190
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 23 26 27 30 33 35 39 42 45 46 54 55 63 65 66 69 70 77 78 81 90 91 99 105 110 115 117 126 130 135 138 143 154 161 162 165 169 182 189 195 198 207 210 230 231 234 253 270 273 286 297 299 315 322 330 338 345 351 378 385 390 405 414 429 455 462 483 495 506 507 546 567 585 594 598 621 630 690 693 702 715 759 770 805 810 819 845 858 891 897 910 945 966 990 1001 1014 1035 1053 1134 1155 1170 1183 1242 1265 1287 1365 1386 1430 1449 1485 1495 1518 1521 1610 1638 1690 1755 1771 1782 1794 1859 1863 1890 2002 2070 2079 2093 2106 2145 2277 2310 2366 2415 2457 2530 2535 2574 2691 2730 2835 2898 2970 2990 3003 3042 3105 3289 3465 3510 3542 3549 3718 3726 3795 3861 3887 4095 4158 4186 4290 4347 4455 4485 4554 4563 4830 4914 5005 5070 5265 5313 5382 5577 5670 5915 6006 6210 6237 6279 6435 6578 6831 6930 7098 7245 7371 7590 7605 7722 7774 8073 8190 8694 8855 8910 8970 9009 9126 9295 9315 9867 10010 10395 10465 10530 10626 10647 11154 11385 11583 11661 11830 12285 12474 12558 12870 13013 13041 13455 13662 13689 14490 14742 15015 15210 15939 16146 16445 16731 17710 17745 18018 18590 18630 18837 19305 19435 19734 20493 20790 20930 21294 21735 22770 22815 23023 23166 23322 24219 24570 26026 26082 26565 26910 27027 27209 27378 27885 29601 30030 31185 31395 31878 31941 32890 33462 34155 34983 35490 36855 37674 38610 38870 39039 40365 40986 42757 43470 45045 45630 46046 47817 48438 49335 50193 53130 53235 54054 54418 55770 56511 57915 58305 59202 62370 62790 63882 65065 65205 68310 68445 69069 69966 73710 78078 79695 80730 81081 81627 83655 85514 88803 90090 94185 95634 95823 98670 100386 102465 104949 106470 113022 115115 115830 116610 117117 121095 128271 130130 130410 135135 136045 136890 138138 143451 148005 150579 159390 159705 162162 163254 167310 169533 174915 177606 188370 191646 195195 204930 207207 209898 213785 230230 234234 239085 242190 244881 250965 256542 266409 270270 272090 282555 286902 296010 299299 301158 314847 319410 339066 345345 349830 351351 384813 390390 405405 408135 414414 427570 444015 478170 479115 489762 501930 524745 532818 565110 585585 598598 621621 629694 641355 690690 702702 717255 734643 752895 769626 810810 816270 847665 888030 897897 958230 1036035 1049490 1054053 1154439 1171170 1224405 1243242 1282710 1332045 1434510 1469286 1496495 1505790 1574235 1695330 1756755 1795794 1864863 1924065 2072070 2108106 2203929 2308878 2448810 2664090 2693691 2992990 3108105 3148470 3463317 3513510 3673215 3729726 3848130 4407858 4489485 5270265 5387382 5772195 6216210 6926634 7346430 8081073 8978970 9324315 10540530 11019645 11544390 13468455 16162146 17316585 18648630 22039290 24243219 26936910 34633170 40405365 48486438 80810730 121216095 242432190
- Sum of all divisors σ(n): 918314496
- Sum of proper divisors (its aliquot sum) s(n): 675882306
- 242432190 is an abundant number, because the sum of its proper divisors (675882306) is greater than itself. Its abundance is 433450116
Bases of 242432190
- Binary: 11100111001100111000101111102
- Hexadecimal: 0xE7338BE
- Base-36: 40C5VI
Squares and roots of 242432190
- 242432190 squared (2424321902) is 58773366748196100
- 242432190 cubed (2424321903) is 14248556014438359072459000
-
The
square root of 242432190 is 15570.2341022861 -
The
cube root of 242432190 is 623.5387215941
Scales and comparisons
How big is 242432190?- 242,432,190 seconds is equal to 7 years, 36 weeks, 5 days, 22 hours, 16 minutes, 30 seconds.
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To count from 1 to 242,432,190 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 242432190 cubic inches would be around 52 feet tall.
Recreational maths with 242432190
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