120442140
120,442,140 is an even composite number composed of seven prime numbers multiplied together.
120442140 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 120442140:
22 × 34 × 5 × 7 × 13 × 19 × 43
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 19 × 43)See below for interesting mathematical facts about the number 120442140 from the Numbermatics database.
Names of 120442140
- Cardinal: 120442140 can be written as One hundred twenty million, four hundred forty-two thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.2044214 × 108
Factors of 120442140
Divisors of 120442140
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 19 20 21 26 27 28 30 35 36 38 39 42 43 45 52 54 57 60 63 65 70 76 78 81 84 86 90 91 95 105 108 114 117 126 129 130 133 135 140 156 162 171 172 180 182 189 190 195 210 215 228 234 247 252 258 260 266 270 273 285 301 315 324 342 351 364 378 380 387 390 399 405 420 430 455 468 494 513 516 532 540 546 559 567 570 585 602 630 645 665 684 702 741 756 774 780 798 810 817 819 855 860 903 910 945 988 1026 1053 1092 1118 1134 1140 1161 1170 1197 1204 1235 1260 1290 1330 1365 1404 1482 1505 1539 1548 1596 1620 1634 1638 1677 1710 1729 1755 1806 1820 1890 1935 1995 2052 2106 2223 2236 2268 2322 2340 2394 2451 2457 2470 2565 2580 2660 2709 2730 2795 2835 2964 3010 3078 3268 3276 3354 3420 3458 3483 3510 3591 3612 3705 3780 3870 3913 3990 4085 4095 4212 4446 4515 4644 4788 4902 4914 4940 5031 5130 5187 5265 5418 5460 5590 5670 5719 5805 5985 6020 6156 6669 6708 6916 6966 7020 7182 7353 7371 7410 7695 7740 7826 7980 8127 8170 8190 8385 8645 8892 9030 9804 9828 10062 10260 10374 10530 10621 10773 10836 11115 11180 11340 11438 11610 11739 11970 12255 12285 13338 13545 13932 14364 14706 14742 14820 15093 15390 15561 15652 16254 16340 16380 16770 17157 17290 17415 17955 18060 19565 20007 20124 20748 21060 21242 21546 22059 22230 22876 23220 23478 23940 24381 24510 24570 25155 25935 26676 27090 28595 29412 29484 30186 30780 31122 31863 32508 33345 33540 34314 34580 34830 35217 35910 36765 36855 39130 40014 40635 42484 43092 44118 44460 45279 46683 46956 48762 49020 49140 50310 51471 51870 53105 53865 54180 57190 58695 60372 62244 63726 66177 66690 68628 69660 70434 71820 73530 73710 74347 75465 77805 78260 80028 81270 85785 88236 90558 93366 95589 97524 100035 100620 102942 103740 105651 106210 107730 110295 114380 117390 121905 127452 132354 133380 140049 140868 147060 147420 148694 150930 154413 155610 159315 162540 171570 176085 181116 186732 191178 200070 205884 211302 212420 215460 220590 223041 226395 233415 234780 243810 257355 264708 280098 286767 297388 301860 308826 311220 316953 318630 330885 343140 352170 371735 382356 400140 422604 441180 446082 452790 463239 466830 477945 487620 514710 528255 560196 573534 617652 633906 637260 661770 669123 700245 704340 743470 772065 860301 892164 905580 926478 933660 955890 1029420 1056510 1115205 1147068 1267812 1323540 1338246 1400490 1433835 1486940 1544130 1584765 1720602 1852956 1911780 2007369 2113020 2230410 2316195 2676492 2800980 2867670 3088260 3169530 3345615 3441204 4014738 4301505 4460820 4632390 5735340 6022107 6339060 6691230 8029476 8603010 9264780 10036845 12044214 13382460 17206020 20073690 24088428 30110535 40147380 60221070 120442140
- Sum of all divisors σ(n): 500881920
- Sum of proper divisors (its aliquot sum) s(n): 380439780
- 120442140 is an abundant number, because the sum of its proper divisors (380439780) is greater than itself. Its abundance is 259997640
Bases of 120442140
- Binary: 1110010110111001101000111002
- Hexadecimal: 0x72DCD1C
- Base-36: 1ZPHR0
Squares and roots of 120442140
- 120442140 squared (1204421402) is 14506309087779600
- 120442140 cubed (1204421403) is 1747170910033622872344000
-
The
square root of 120442140 is 10974.6134328277 -
The
cube root of 120442140 is 493.8474562741
Scales and comparisons
How big is 120442140?- 120,442,140 seconds is equal to 3 years, 43 weeks, 1 day, 9 minutes.
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To count from 1 to 120,442,140 would take you about five 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 120442140 cubic inches would be around 41.2 feet tall.
Recreational maths with 120442140
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