42268465186816
42,268,465,186,816 is an even composite number composed of seven prime numbers multiplied together.
42268465186816 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 42268465186816:
211 × 11 × 19 × 29 × 47 × 53 × 1367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 19 × 29 × 47 × 53 × 1367)See below for interesting mathematical facts about the number 42268465186816 from the Numbermatics database.
Names of 42268465186816
- Cardinal: 42268465186816 can be written as Forty-two trillion, two hundred sixty-eight billion, four hundred sixty-five million, one hundred eighty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2268465186816 × 1013
Factors of 42268465186816
Divisors of 42268465186816
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 8 11 16 19 22 29 32 38 44 47 53 58 64 76 88 94 106 116 128 152 176 188 209 212 232 256 304 319 352 376 418 424 464 512 517 551 583 608 638 704 752 836 848 893 928 1007 1024 1034 1102 1166 1216 1276 1363 1367 1408 1504 1537 1672 1696 1786 1856 2014 2048 2068 2204 2332 2432 2491 2552 2726 2734 2816 3008 3074 3344 3392 3572 3712 4028 4136 4408 4664 4864 4982 5104 5452 5468 5632 6016 6061 6148 6688 6784 7144 7424 8056 8272 8816 9328 9728 9823 9964 10208 10904 10936 11077 11264 12032 12122 12296 13376 13568 14288 14848 14993 15037 16112 16544 16907 17632 18656 19456 19646 19928 20416 21808 21872 22154 22528 24064 24244 24592 25897 25973 26752 27136 27401 28576 29203 29696 29986 30074 32224 33088 33814 35264 37312 38912 39292 39643 39856 40832 43616 43744 44308 47329 48128 48488 49184 51794 51946 53504 54272 54802 57152 58406 59392 59972 60148 64249 64448 66176 67628 70528 72239 72451 74624 78584 79286 79712 81664 87232 87488 88616 94658 96256 96976 98368 103588 103892 107008 108544 109604 114304 116812 119944 120296 128498 128896 132352 135256 141056 144478 144902 149248 157168 158572 159424 163328 174464 174976 177232 189316 193952 196736 207176 207784 214016 219208 228608 233624 239888 240592 256996 257792 264704 270512 282112 284867 285703 288956 289804 298496 314336 317144 318848 321233 326656 348928 349952 354464 378632 387904 393472 414352 415568 428032 436073 438416 457216 467248 479776 481184 513992 515584 520619 529408 541024 564224 569734 571406 577912 579608 596992 628672 634288 637696 642466 653312 697856 699904 706739 708928 753217 757264 775808 786944 794629 796961 828704 831136 872146 876832 914432 934496 959552 962368 1027984 1031168 1041238 1058816 1082048 1128448 1139468 1142812 1155824 1159216 1193984 1220731 1257344 1268576 1275392 1284932 1372541 1376569 1395712 1399808 1413478 1417856 1506434 1514528 1551616 1573888 1589258 1593922 1657408 1662272 1744292 1753664 1828864 1863221 1868992 1919104 1924736 2055968 2062336 2082476 2101079 2164096 2278936 2285624 2311648 2318432 2441462 2514688 2537152 2550784 2569864 2745082 2753138 2791424 2799616 2826956 2835712 3012868 3029056 3103232 3147776 3178516 3187844 3314816 3324544 3405197 3488584 3507328 3726442 3737984 3838208 3849472 4111936 4164952 4202158 4328192 4557872 4571248 4623296 4636864 4882924 5029376 5074304 5101568 5139728 5490164 5506276 5653912 5671424 6025736 6058112 6206464 6357032 6375688 6629632 6649088 6810394 6977168 7014656 7452884 7475968 7676416 7698944 8223872 8285387 8329904 8404316 8656384 9115744 9142496 9246592 9273728 9765848 10058752 10148608 10279456 10980328 11012552 11307824 11342848 12051472 12116224 12412928 12714064 12751376 13259264 13298176 13428041 13620788 13954336 14029312 14905768 14951936 15097951 15142259 15352832 15397888 16447744 16570774 16659808 16808632 17312768 18231488 18284992 18493184 18547456 19531696 20117504 20297216 20495431 20558912 21960656 22025104 22615648 22685696 23111869 24102944 24232448 25428128 25502752 26518528 26596352 26856082 27241576 27908672 28058624 29811536 29903872 30195902 30284518 30705664 30795776 32895488 33141548 33319616 33617264 34625536 35401199 36462976 36569984 36986368 37094912 37457167 39063392 39920501 40594432 40990862 41117824 43921312 44050208 45231296 46223738 48205888 48464896 50856256 51005504 53037056 53192704 53712164 54483152 55817344 56117248 59623072 59807744 60391804 60569036 64698743 65790976 66283096 66639232 67234528 70802398 72925952 73139968 73972736 74189824 74914334 78126784 79841002 81188864 81981724 82235648 87842624 88100416 90462592 92447476 96411776 96929792 98750713 101712512 102011008 107424328 108966304 111634688 119246144 120783608 121138072 129397486 131581952 132566192 133278464 134469056 141604796 145851904 146279936 147945472 148379648 149828668 156253568 159682004 163963448 164471296 175685248 176200832 180925184 184894952 192823552 197501426 203425024 204022016 214848656 217932608 223269376 238492288 241567216 242276144 258794972 265132384 266556928 268938112 283209592 291703808 292559872 299657336 312507136 319364008 327926896 328942592 351370496 352401664 361850368 369789904 385647104 389413189 395002852 406850048 408044032 429697312 435865216 439125511 446538752 476984576 483134432 484552288 517589944 530264768 533113856 537876224 566419184 583407616 585119744 599314672 625014272 638728016 655853792 657885184 702740992 704803328 711686173 723700736 739579808 771294208 778826378 790005704 813700096 816088064 859394624 871730432 878251022 893077504 953969152 966268864 969104576 1035179888 1060529536 1066227712 1075752448 1086257843 1132838368 1198629344 1250028544 1277456032 1311707584 1405481984 1409606656 1423372346 1447401472 1479159616 1542588416 1557652756 1580011408 1627400192 1632176128 1718789248 1743460864 1756502044 1876263547 1907938304 1932537728 1938209152 2070359776 2121059072 2151504896 2172515686 2265676736 2397258688 2500057088 2554912064 2623415168 2810963968 2819213312 2846744692 2958319232 3115305512 3160022816 3437578496 3486921728 3513004088 3752527094 3815876608 3865075456 3876418304 4140719552 4242118144 4303009792 4345031372 4531353472 4794517376 5109824128 5246830336 5693489384 5916638464 6230611024 6320045632 6875156992 6973843456 7026008176 7505054188 7730150912 7752836608 8281439104 8484236288 8690062744 9062706944 9589034752 10219648256 10493660672 11386978768 11833276928 12461222048 12640091264 13750313984 14052016352 15010108376 15460301824 15505673216 16562878208 16968472576 17380125488 18125413888 19178069504 20439296512 20638899017 20987321344 22773957536 23666553856 24922444096 25280182528 27500627968 28104032704 30020216752 30920603648 31011346432 33125756416 34760250976 36250827776 38356139008 40878593024 41277798034 41974642688 45547915072 47333107712 49844888192 50560365056 56208065408 60040433504 66251512832 69520501952 72501655552 76712278016 81757186048 82555596068 91095830144 99689776384 101120730112 112416130816 120080867008 132503025664 139041003904 165111192136 182191660288 199379552768 202241460224 224832261632 240161734016 278082007808 330222384272 364383320576 398759105536 449664523264 480323468032 556164015616 660444768544 728766641152 797518211072 899329046528 960646936064 1112328031232 1320889537088 1457533282304 1921293872128 2224656062464 2641779074176 3842587744256 5283558148352 10567116296704 21134232593408 42268465186816
- Sum of all divisors σ(n): 104546018304000
- Sum of proper divisors (its aliquot sum) s(n): 62277553117184
- 42268465186816 is an abundant number, because the sum of its proper divisors (62277553117184) is greater than itself. Its abundance is 20009087930368
Bases of 42268465186816
- Binary: 10011001110001011001001101101001001000000000002
- Hexadecimal: 0x267164DA4800
- Base-36: EZDV4TZB4
Squares and roots of 42268465186816
- 42268465186816 squared (422684651868162) is 1786623149249076149780217856
- 42268465186816 cubed (422684651868163) is 75517818385994141769435306136052218986496
-
The
square root of 42268465186816 is 6501420.2438248829 -
The
cube root of 42268465186816 is 34834.1720713469
Scales and comparisons
How big is 42268465186816?- 42,268,465,186,816 seconds is equal to 1,344,006 years, 23 weeks, 2 days, 1 hour, 40 minutes, 16 seconds.
-
To count from 1 to 42,268,465,186,816 would take you about three million, three hundred sixty thousand and sixteen 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 42268465186816 cubic inches would be around 2902.8 feet tall.
Recreational maths with 42268465186816
- 42268465186816 backwards is 61868156486224
- The number of decimal digits it has is: 14
- The sum of 42268465186816's digits is 67
- More coming soon!
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The information we have on file for 42268465186816 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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