42120823680
42,120,823,680 is an even composite number composed of seven prime numbers multiplied together.
42120823680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42120823680:
27 × 32 × 5 × 13 × 23 × 37 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 23 × 37 × 661)See below for interesting mathematical facts about the number 42120823680 from the Numbermatics database.
Names of 42120823680
- Cardinal: 42120823680 can be written as Forty-two billion, one hundred twenty million, eight hundred twenty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.212082368 × 1010
Factors of 42120823680
Divisors of 42120823680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 32 36 37 39 40 45 46 48 52 60 64 65 69 72 74 78 80 90 92 96 104 111 115 117 120 128 130 138 144 148 156 160 180 184 185 192 195 207 208 222 230 234 240 260 276 288 296 299 312 320 333 345 360 368 370 384 390 414 416 444 460 468 480 481 520 552 555 576 585 592 598 624 640 661 666 690 720 736 740 780 828 832 851 888 897 920 936 960 962 1035 1040 1104 1110 1152 1170 1184 1196 1248 1322 1332 1380 1440 1443 1472 1480 1495 1560 1656 1664 1665 1702 1776 1794 1840 1872 1920 1924 1983 2070 2080 2208 2220 2340 2368 2392 2405 2496 2553 2644 2664 2691 2760 2880 2886 2944 2960 2990 3120 3305 3312 3330 3404 3552 3588 3680 3744 3848 3966 4140 4160 4255 4329 4416 4440 4485 4680 4736 4784 4810 4992 5106 5288 5328 5382 5520 5760 5772 5920 5949 5980 6240 6610 6624 6660 6808 7104 7176 7215 7360 7488 7659 7696 7932 8280 8320 8510 8593 8658 8832 8880 8970 9360 9568 9620 9915 10212 10576 10656 10764 11040 11063 11544 11840 11898 11960 12480 12765 13220 13248 13320 13455 13616 14208 14352 14430 14720 14976 15203 15318 15392 15864 16560 17020 17186 17316 17760 17940 18720 19136 19240 19830 20424 21152 21312 21528 21645 22080 22126 23088 23680 23796 23920 24457 24960 25530 25779 26440 26496 26640 26910 27232 28704 28860 29745 30406 30636 30784 31728 33120 33189 34040 34372 34632 35520 35880 37440 38272 38295 38480 39660 40848 42304 42624 42965 43056 43290 44160 44252 45609 46176 47592 47840 48914 51060 51558 52880 53280 53820 54464 55315 57408 57720 59490 60812 61272 61568 63456 66240 66378 68080 68744 69264 71040 71760 73371 74880 76015 76590 76960 77337 79320 81696 84608 85930 86112 86580 88504 91218 92352 95184 95680 97828 99567 102120 103116 105760 106560 107640 108928 110630 114816 115440 118980 121624 122285 122544 126912 128895 132480 132756 136160 136827 137488 138528 143520 146742 152030 153180 153920 154674 158640 163392 165945 171860 172224 173160 177008 182436 184704 190368 191360 195656 197639 199134 204240 206232 211520 213120 215280 220113 221260 228045 230880 237960 243248 244570 245088 253824 257790 265512 272320 273654 274976 277056 287040 293484 304060 306360 307840 309348 317280 317941 326784 331890 343720 344448 346320 354016 364872 366855 380736 386685 391312 395278 398268 408480 412464 423040 430560 440226 442520 456090 461760 475920 486496 489140 490176 497835 515580 531024 544640 547308 549952 554112 562511 574080 586968 592917 608120 612720 618696 634560 635882 663780 684135 687440 692640 708032 729744 733710 761472 773370 782624 790556 796536 816960 824928 861120 880452 885040 912180 923520 951840 953823 972992 978280 980352 988195 995670 1031160 1062048 1094616 1099904 1100565 1125022 1173936 1185834 1216240 1225440 1237392 1269120 1271764 1327560 1368270 1374880 1385280 1416064 1459488 1467420 1546740 1565248 1581112 1589705 1593072 1633920 1649856 1687533 1722240 1760904 1770080 1778751 1824360 1903680 1907646 1945984 1956560 1976390 1991340 2062320 2124096 2189232 2201130 2250044 2347872 2371668 2432480 2450880 2474784 2543528 2655120 2736540 2749760 2770560 2812555 2861469 2918976 2934840 2964585 3093480 3130496 3162224 3179410 3186144 3299712 3375066 3521808 3540160 3557502 3648720 3807360 3815292 3913120 3952780 3982680 4124640 4248192 4378464 4402260 4500088 4695744 4743336 4769115 4864960 4901760 4949568 5062599 5087056 5310240 5473080 5499520 5625110 5722938 5837952 5869680 5929170 6186960 6324448 6358820 6372288 6750132 7043616 7080320 7115004 7297440 7312643 7630584 7826240 7905560 7965360 8249280 8437665 8756928 8804520 8893755 9000176 9391488 9486672 9538230 9729920 9899136 10125198 10174112 10620480 10946160 11250220 11445876 11739360 11858340 12373920 12648896 12717640 12744576 13500264 14087232 14230008 14307345 14594880 14625286 15261168 15652480 15811120 15930720 16498560 16875330 17513856 17609040 17787510 18000352 18973344 19076460 20250396 20348224 21240960 21892320 21937929 22500440 22891752 23478720 23716680 24747840 25297792 25312995 25435280 27000528 28174464 28460016 28614690 29189760 29250572 30522336 31622240 31861440 33750660 35218080 35575020 36000704 36563215 37946688 38152920 40500792 40696448 43784640 43875858 45000880 45783504 46957440 47433360 49495680 50625990 50870560 54001056 56920032 57229380 58501144 61044672 63244480 63722880 65813787 67501320 70436160 71150040 72001408 73126430 75893376 76305840 81001584 87569280 87751716 90001760 91567008 94866720 101251980 101741120 108002112 109689645 113840064 114458760 117002288 122089344 126488960 131627574 135002640 140872320 142300080 146252860 152611680 162003168 175503432 180003520 183134016 189733440 202503960 203482240 216004224 219379290 227680128 228917520 234004576 263255148 270005280 284600160 292505720 305223360 324006336 329068935 351006864 360007040 366268032 379466880 405007920 438758580 457835040 468009152 526510296 540010560 569200320 585011440 610446720 648012672 658137870 702013728 810015840 877517160 915670080 936018304 1053020592 1080021120 1138400640 1170022880 1316275740 1404027456 1620031680 1755034320 1831340160 2106041184 2340045760 2632551480 2808054912 3240063360 3510068640 4212082368 4680091520 5265102960 7020137280 8424164736 10530205920 14040274560 21060411840 42120823680
- Sum of all divisors σ(n): 168118554240
- Sum of proper divisors (its aliquot sum) s(n): 125997730560
- 42120823680 is an abundant number, because the sum of its proper divisors (125997730560) is greater than itself. Its abundance is 83876906880
Bases of 42120823680
- Binary: 1001110011101001100011000011100000002
- Hexadecimal: 0x9CE98C380
- Base-36: JCLNFK0
Squares and roots of 42120823680
- 42120823680 squared (421208236802) is 1774163787481648742400
- 42120823680 cubed (421208236803) is 74729240071955517914324140032000
-
The
square root of 42120823680 is 205233.5832167825 -
The
cube root of 42120823680 is 3479.3566785447
Scales and comparisons
How big is 42120823680?- 42,120,823,680 seconds is equal to 1,339 years, 16 weeks, 1 day, 12 hours, 48 minutes.
-
To count from 1 to 42,120,823,680 would take you about two thousand, six hundred seventy-eight 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 42120823680 cubic inches would be around 289.9 feet tall.
Recreational maths with 42120823680
- 42120823680 backwards is 08632802124
- 42120823680 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42120823680's digits is 36
- More coming soon!
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The information we have on file for 42120823680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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