42080134003200
42,080,134,003,200 is an even composite number composed of six prime numbers multiplied together.
42080134003200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 42080134003200:
29 × 34 × 52 × 113 × 193 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 113 × 193 × 1861)See below for interesting mathematical facts about the number 42080134003200 from the Numbermatics database.
Names of 42080134003200
- Cardinal: 42080134003200 can be written as Forty-two trillion, eighty billion, one hundred thirty-four million, three thousand, two hundred.
Scientific notation
- Scientific notation: 4.20801340032 × 1013
Factors of 42080134003200
Divisors of 42080134003200
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 113 120 128 135 144 150 160 162 180 192 193 200 216 225 226 240 256 270 288 300 320 324 339 360 384 386 400 405 432 450 452 480 512 540 565 576 579 600 640 648 675 678 720 768 772 800 810 864 900 904 960 965 1017 1080 1130 1152 1158 1200 1280 1296 1350 1356 1440 1536 1544 1600 1620 1695 1728 1737 1800 1808 1861 1920 1930 2025 2034 2160 2260 2304 2316 2400 2560 2592 2700 2712 2825 2880 2895 3051 3088 3200 3240 3390 3456 3474 3600 3616 3722 3840 3860 4050 4068 4320 4520 4608 4632 4800 4825 5085 5184 5211 5400 5424 5583 5650 5760 5790 6102 6176 6400 6480 6780 6912 6948 7200 7232 7444 7680 7720 8100 8136 8475 8640 8685 9040 9153 9264 9305 9600 9650 10170 10368 10422 10800 10848 11166 11300 11520 11580 12204 12352 12800 12960 13560 13824 13896 14400 14464 14475 14888 15255 15440 15633 16200 16272 16749 16950 17280 17370 18080 18306 18528 18610 19200 19300 20340 20736 20844 21600 21696 21809 22332 22600 23040 23160 24408 24704 25425 25920 26055 27120 27792 27915 28800 28928 28950 29776 30510 30880 31266 32400 32544 33498 33900 34560 34740 36160 36612 37056 37220 38400 38600 40680 41472 41688 43200 43392 43425 43618 44664 45200 45765 46320 46525 48816 49408 50247 50850 51840 52110 54240 55584 55830 57600 57856 57900 59552 61020 61760 62532 64800 65088 65427 66996 67800 69120 69480 72320 73224 74112 74440 76275 77200 78165 81360 83376 83745 86400 86784 86850 87236 89328 90400 91530 92640 93050 97632 98816 100494 101700 103680 104220 108480 109045 111168 111660 115200 115800 119104 122040 123520 125064 129600 130176 130275 130854 133992 135600 138960 139575 144640 146448 148224 148880 150741 152550 154400 156330 162720 166752 167490 172800 173568 173700 174472 178656 180800 183060 185280 186100 195264 196281 200988 203400 207360 208440 210293 216960 218090 222336 223320 228825 231600 238208 244080 247040 250128 251235 259200 260352 260550 261708 267984 271200 277920 279150 289280 292896 296448 297760 301482 305100 308800 312660 325440 327135 333504 334980 345600 347400 348944 357312 359173 361600 366120 370560 372200 390528 390825 392562 401976 406800 416880 418725 420586 433920 436180 444672 446640 457650 463200 476416 488160 494080 500256 502470 518400 520704 521100 523416 535968 542400 545225 555840 558300 585792 588843 595520 602964 610200 617600 625320 630879 650880 654270 667008 669960 694800 697888 714624 718346 723200 732240 741120 744400 753705 781056 781650 785124 803952 813600 833760 837450 841172 867840 872360 889344 893280 915300 926400 952832 976320 981405 1000512 1004940 1036800 1042200 1046832 1051465 1071936 1077519 1084800 1090450 1111680 1116600 1171584 1177686 1191040 1205928 1220400 1235200 1250640 1256175 1261758 1301760 1308540 1334016 1339920 1389600 1395776 1429248 1436692 1446400 1464480 1482240 1488800 1507410 1562112 1563300 1570248 1607904 1627200 1635675 1667520 1674900 1682344 1744720 1766529 1786560 1795865 1830600 1852800 1892637 1952640 1962810 2001024 2009880 2084400 2093664 2102930 2143872 2155038 2169600 2180900 2223360 2233200 2343168 2355372 2382080 2411856 2440800 2470400 2501280 2512350 2523516 2603520 2617080 2668032 2679840 2779200 2791552 2858496 2873384 2928960 2944215 2977600 3014820 3126600 3140496 3154395 3215808 3232557 3254400 3271350 3335040 3349800 3364688 3489440 3533058 3573120 3591730 3661200 3705600 3768525 3785274 3905280 3925620 4002048 4019760 4168800 4187328 4205860 4287744 4310076 4339200 4361800 4446720 4466400 4686336 4710744 4764160 4823712 4881600 4907025 5002560 5024700 5047032 5234160 5257325 5359680 5387595 5558400 5583104 5677911 5746768 5857920 5888430 5955200 6029640 6253200 6280992 6308790 6431616 6465114 6508800 6542700 6670080 6699600 6729376 6978880 7066116 7146240 7183460 7322400 7411200 7537050 7570548 7810560 7851240 8004096 8039520 8337600 8374656 8411720 8575488 8620152 8723600 8832645 8932800 8979325 9421488 9463185 9647424 9697671 9763200 9814050 10005120 10049400 10094064 10468320 10514650 10719360 10775190 11116800 11166208 11355822 11493536 11715840 11776860 11910400 12059280 12506400 12561984 12617580 12863232 12930228 13017600 13085400 13340160 13399200 13458752 13957760 14132232 14292480 14366920 14644800 14721075 15074100 15141096 15702480 15771975 16079040 16162785 16675200 16749312 16823440 17033733 17240304 17447200 17665290 17865600 17958650 18842976 18926370 19294848 19395342 19526400 19628100 20010240 20098800 20188128 20936640 21029300 21438720 21550380 22233600 22711644 22987072 23431680 23553720 23820800 24118560 25012800 25123968 25235160 25726464 25860456 26170800 26798400 26917504 26937975 27915520 28264464 28389555 28733840 29093013 29289600 29442150 30148200 30282192 31404960 31543950 32158080 32325570 33350400 33498624 33646880 34067466 34480608 34894400 35330580 35731200 35917300 37685952 37852740 38589696 38790684 39052800 39256200 40020480 40197600 40376256 40586549 41873280 42058600 42877440 43100760 44163225 45423288 45974144 47107440 47315925 48237120 48488355 50025600 50247936 50470320 51720912 52341600 53596800 53835008 53875950 55831040 56528928 56779110 57467680 58186026 58579200 58884300 60296400 60564384 62809920 63087900 64316160 64651140 66700800 67293760 68134932 68961216 69788800 70661160 71462400 71834600 75371904 75705480 77179392 77581368 78512400 80395200 80752512 80813925 81173098 83746560 84117200 85168665 86201520 88326450 90846576 91948288 94214880 94631850 96474240 96976710 100051200 100495872 100940640 103441824 104683200 107193600 107670016 107751900 113057856 113558220 114935360 116372052 117158400 117768600 120592800 121128768 121759647 125619840 126175800 128632320 129302280 134587520 136269864 137922432 139577600 141322320 141947775 143669200 145465065 150743808 151410960 155162736 157024800 160790400 161505024 161627850 162346196 167493120 168234400 170337330 172403040 176652900 181693152 183896576 188429760 189263700 192948480 193953420 200102400 201881280 202932745 206883648 209366400 214387200 215503800 226115712 227116440 229870720 232744104 235537200 241185600 242257536 242441775 243519294 251239680 252351600 258604560 269175040 272539728 275844864 279155200 282644640 283895550 287338400 290930130 301487616 302821920 310325472 314049600 321580800 323010048 323255700 324692392 336468800 340674660 344806080 353305800 363386304 365278941 376859520 378527400 385896960 387906840 403762560 405865490 413767296 418732800 425843325 431007600 452231424 454232880 459741440 465488208 471074400 482371200 484515072 484883550 487038588 502479360 504703200 517209120 538350080 545079456 551689728 565289280 567791100 574676800 581860260 605643840 608798235 620650944 628099200 643161600 646511400 649384784 672937600 681349320 689612160 706611600 726772608 727325325 730557882 753719040 757054800 775813680 807525120 811730980 827534592 837465600 851686650 862015200 904462848 908465760 919482880 930976416 942148800 964742400 969030144 969767100 974077176 1009406400 1014663725 1034418240 1090158912 1095836823 1130578560 1135582200 1149353600 1163720520 1211287680 1217596470 1241301888 1256198400 1293022800 1298769568 1345875200 1362698640 1379224320 1413223200 1453545216 1454650650 1461115764 1507438080 1514109600 1551627360 1615050240 1623461960 1655069184 1703373300 1724030400 1816931520 1826394705 1861952832 1884297600 1929484800 1939534200 1948154352 2018812800 2029327450 2068836480 2180317824 2191673646 2261157120 2271164400 2298707200 2327441040 2422575360 2435192940 2482603776 2512396800 2586045600 2597539136 2691750400 2725397280 2758448640 2826446400 2907090432 2909301300 2922231528 3028219200 3043991175 3103254720 3246923920 3287510469 3406746600 3448060800 3633863040 3652789410 3723905664 3768595200 3879068400 3896308704 4037625600 4058654900 4137672960 4360635648 4383347292 4522314240 4542328800 4597414400 4654882080 4845150720 4870385880 4965207552 5172091200 5195078272 5450794560 5479184115 5652892800 5818602600 5844463056 6056438400 6087982350 6206509440 6493847840 6575020938 6813493200 6896121600 7267726080 7305578820 7447811328 7537190400 7758136800 7792617408 8075251200 8117309800 8275345920 8721271296 8766694584 9084657600 9131973525 9309764160 9740771760 10344182400 10390156544 10901589120 10958368230 11305785600 11637205200 11688926112 12112876800 12175964700 12413018880 12987695680 13150041876 13626986400 13792243200 14535452160 14611157640 14895622656 15516273600 15585234816 16234619600 16437552345 17533389168 18169315200 18263947050 18619528320 19481543520 20688364800 20780313088 21803178240 21916736460 22611571200 23274410400 23377852224 24225753600 24351929400 24826037760 25975391360 26300083752 27253972800 27395920575 29222315280 31032547200 31170469632 32469239200 32875104690 35066778336 36338630400 36527894100 37239056640 38963087040 41376729600 43606356480 43833472920 46548820800 46755704448 48703858800 51950782720 52600167504 54507945600 54791841150 58444630560 62065094400 62340939264 64938478400 65750209380 70133556672 72677260800 73055788200 74478113280 77926174080 82187761725 87666945840 93097641600 93511408896 97407717600 103901565440 105200335008 109015891200 109583682300 116889261120 124130188800 129876956800 131500418760 140267113344 146111576400 155852348160 164375523450 175333891680 186195283200 187022817792 194815435200 210400670016 218031782400 219167364600 233778522240 259753913600 263000837520 280534226688 292223152800 311704696320 328751046900 350667783360 372390566400 389630870400 420801340032 438334729200 467557044480 519507827200 526001675040 561068453376 584446305600 657502093800 701335566720 779261740800 841602680064 876669458400 935114088960 1052003350080 1168892611200 1315004187600 1402671133440 1558523481600 1683205360128 1753338916800 2104006700160 2337785222400 2630008375200 2805342266880 3506677833600 4208013400320 4675570444800 5260016750400 7013355667200 8416026800640 10520033500800 14026711334400 21040067001600 42080134003200
- Sum of all divisors σ(n): 158018871441816
- Sum of proper divisors (its aliquot sum) s(n): 115938737438616
- 42080134003200 is an abundant number, because the sum of its proper divisors (115938737438616) is greater than itself. Its abundance is 73858603435416
Bases of 42080134003200
- Binary: 10011001000101100010110111000001111010000000002
- Hexadecimal: 0x26458B707A00
- Base-36: EWZCHB400
Squares and roots of 42080134003200
- 42080134003200 squared (420801340032002) is 1770737677727268857610240000
- 42080134003200 cubed (420801340032003) is 74512878763278649550993079316512768000000
-
The
square root of 42080134003200 is 6486920.2248216371 -
The
cube root of 42080134003200 is 34782.3593826545
Scales and comparisons
How big is 42080134003200?- 42,080,134,003,200 seconds is equal to 1,338,018 years, 5 weeks, 1 day.
-
To count from 1 to 42,080,134,003,200 would take you about three million, three hundred forty-five thousand and forty-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 42080134003200 cubic inches would be around 2898.5 feet tall.
Recreational maths with 42080134003200
- 42080134003200 backwards is 00230043108024
- 42080134003200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42080134003200's digits is 27
- More coming soon!
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The information we have on file for 42080134003200 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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