42162120
42,162,120 is an even composite number composed of six prime numbers multiplied together.
42162120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42162120:
23 × 34 × 5 × 7 × 11 × 132
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 13)See below for interesting mathematical facts about the number 42162120 from the Numbermatics database.
Names of 42162120
- Cardinal: 42162120 can be written as Forty-two million, one hundred sixty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.216212 × 107
Factors of 42162120
Divisors of 42162120
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 20 21 22 24 26 27 28 30 33 35 36 39 40 42 44 45 52 54 55 56 60 63 65 66 70 72 77 78 81 84 88 90 91 99 104 105 108 110 117 120 126 130 132 135 140 143 154 156 162 165 168 169 180 182 189 195 198 210 216 220 231 234 252 260 264 270 273 280 286 297 308 312 315 324 330 338 351 360 364 378 385 390 396 405 420 429 440 455 462 468 495 504 507 520 540 546 567 572 585 594 616 630 648 660 676 693 702 715 728 756 770 780 792 810 819 840 845 858 891 910 924 936 945 990 1001 1014 1053 1080 1092 1134 1144 1155 1170 1183 1188 1260 1287 1320 1352 1365 1386 1404 1430 1485 1512 1521 1540 1560 1620 1638 1690 1716 1755 1782 1820 1848 1859 1890 1980 2002 2028 2079 2106 2145 2184 2268 2310 2340 2366 2376 2457 2520 2535 2574 2730 2772 2808 2835 2860 2970 3003 3042 3080 3240 3276 3380 3432 3465 3510 3549 3564 3640 3718 3780 3861 3960 4004 4056 4095 4158 4212 4290 4455 4536 4563 4620 4680 4732 4914 5005 5070 5148 5265 5460 5544 5577 5670 5720 5915 5940 6006 6084 6237 6435 6552 6760 6930 7020 7098 7128 7371 7436 7560 7605 7722 8008 8190 8316 8424 8580 8910 9009 9126 9240 9295 9464 9828 10010 10140 10296 10395 10530 10647 10920 11154 11340 11583 11830 11880 12012 12168 12285 12474 12870 13013 13689 13860 14040 14196 14742 14872 15015 15210 15444 16380 16632 16731 17160 17745 17820 18018 18252 18590 19305 19656 20020 20280 20790 21060 21294 22308 22680 22815 23166 23660 24024 24570 24948 25740 26026 27027 27378 27720 27885 28392 29484 30030 30420 30888 31185 31941 32760 33462 35490 35640 36036 36504 36855 37180 38610 39039 40040 41580 42120 42588 44616 45045 45630 46332 47320 49140 49896 50193 51480 52052 53235 54054 54756 55770 57915 58968 60060 60840 62370 63882 65065 66924 68445 70980 72072 73710 74360 77220 78078 81081 83160 83655 85176 90090 91260 92664 95823 98280 100386 104104 106470 108108 109512 111540 115830 117117 120120 124740 127764 130130 133848 135135 136890 141960 147420 150579 154440 156156 159705 162162 167310 180180 182520 191646 195195 200772 212940 216216 223080 231660 234234 249480 250965 255528 260260 270270 273780 294840 301158 312312 319410 324324 334620 351351 360360 383292 390390 401544 405405 425880 463320 468468 479115 501930 520520 540540 547560 585585 602316 638820 648648 669240 702702 752895 766584 780780 810810 936936 958230 1003860 1054053 1081080 1171170 1204632 1277640 1405404 1505790 1561560 1621620 1756755 1916460 2007720 2108106 2342340 2810808 3011580 3243240 3513510 3832920 4216212 4684680 5270265 6023160 7027020 8432424 10540530 14054040 21081060 42162120
- Sum of all divisors σ(n): 191315520
- Sum of proper divisors (its aliquot sum) s(n): 149153400
- 42162120 is an abundant number, because the sum of its proper divisors (149153400) is greater than itself. Its abundance is 106991280
Bases of 42162120
- Binary: 101000001101010111110010002
- Hexadecimal: 0x28357C8
- Base-36: P3OI0
Squares and roots of 42162120
- 42162120 squared (421621202) is 1777644362894400
- 42162120 cubed (421621203) is 74949254945677240128000
-
The
square root of 42162120 is 6493.2364811395 -
The
cube root of 42162120 is 348.0493390211
Scales and comparisons
How big is 42162120?- 42,162,120 seconds is equal to 1 year, 17 weeks, 4 days, 23 hours, 42 minutes.
-
To count from 1 to 42,162,120 would take you about two 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 42162120 cubic inches would be around 29 feet tall.
Recreational maths with 42162120
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