12002135812800
12,002,135,812,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12002135812800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
12002135812800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 12002135812800:
26 × 3 × 52 × 73 × 61 × 127 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 61 × 127 × 941)See below for interesting mathematical facts about the number 12002135812800 from the Numbermatics database.
Names of 12002135812800
- Cardinal: 12002135812800 can be written as Twelve trillion, two billion, one hundred thirty-five million, eight hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.20021358128 × 1013
Factors of 12002135812800
Divisors of 12002135812800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 61 64 70 75 80 84 96 98 100 105 112 120 122 127 140 147 150 160 168 175 183 192 196 200 210 224 240 244 245 254 280 294 300 305 320 336 343 350 366 381 392 400 420 427 448 480 488 490 508 525 560 588 600 610 635 672 686 700 732 735 762 784 800 840 854 889 915 941 960 976 980 1016 1029 1050 1120 1176 1200 1220 1225 1270 1281 1344 1372 1400 1464 1470 1524 1525 1568 1600 1680 1708 1715 1778 1830 1882 1905 1952 1960 2032 2058 2100 2135 2240 2352 2400 2440 2450 2540 2562 2667 2744 2800 2823 2928 2940 2989 3048 3050 3136 3175 3360 3416 3430 3556 3660 3675 3764 3810 3904 3920 4064 4116 4200 4270 4445 4575 4704 4705 4800 4880 4900 5080 5124 5145 5334 5488 5600 5646 5856 5880 5978 6096 6100 6223 6350 6405 6587 6720 6832 6860 7112 7320 7350 7528 7620 7747 7840 8128 8232 8400 8540 8575 8890 8967 9150 9408 9410 9525 9760 9800 10160 10248 10290 10668 10675 10976 11200 11292 11712 11760 11956 12192 12200 12446 12700 12810 13174 13335 13664 13720 14115 14224 14640 14700 14945 15056 15240 15494 15680 16464 16800 17080 17150 17780 17934 18300 18669 18820 19050 19520 19600 19761 20320 20496 20580 20923 21336 21350 21952 22225 22584 23241 23520 23525 23912 24384 24400 24892 25400 25620 25725 26348 26670 27328 27440 28230 28448 29280 29400 29890 30112 30480 30988 31115 32025 32928 32935 33600 34160 34300 35560 35868 36600 37338 37640 38100 38735 39200 39522 40640 40992 41160 41846 42672 42700 43561 44450 44835 45168 46109 46482 47040 47050 47824 48800 49784 50800 51240 51450 52696 53340 54229 54880 56460 56896 57401 58560 58800 59780 60224 60960 61976 62230 62769 64050 65856 65870 66675 68320 68600 70575 71120 71736 73200 74676 74725 75280 76200 77470 78400 79044 81984 82320 83692 85344 85400 87122 88900 89670 90336 92218 92964 93345 94100 95648 97600 98805 99568 101600 102480 102900 104615 105392 106680 108458 109760 112920 114802 116205 117600 119507 119560 121920 123952 124460 125538 128100 130683 131740 133350 136640 137200 138327 141150 142240 143472 146400 149352 149450 150560 152400 154940 155575 158088 162687 164640 164675 167384 170688 170800 172203 174244 177800 179340 180672 184436 185928 186690 188200 191296 193675 197610 199136 203200 204960 205800 209230 210784 213360 216916 217805 224175 225840 229604 230545 232410 235200 239014 239120 247904 248920 251076 256200 261366 263480 266700 271145 274400 276654 282300 284480 286944 287005 292800 298704 298900 301120 304800 309880 311150 313845 316176 322763 325374 329280 329350 334768 341600 344406 348488 355600 358521 358680 368872 371856 373380 376400 379603 387350 395220 398272 401807 409920 411600 418460 421568 426720 433832 435610 448350 451680 459208 461090 464820 466725 478028 478240 494025 495808 497840 502152 512400 522732 523075 526960 533400 542290 548800 553308 564600 573888 574010 581025 597408 597535 597800 609600 619760 622300 627690 632352 645526 650748 653415 658700 669536 683200 688812 691635 696976 711200 717042 717360 737744 743712 746760 752800 759206 774700 790440 803614 813435 823200 836549 836920 853440 861015 867664 871220 896700 903360 918416 922180 929640 933450 956056 956480 968289 988050 995680 1004304 1024800 1045464 1046150 1053920 1066800 1084580 1089025 1106616 1129200 1138809 1148020 1152725 1162050 1194816 1195070 1195600 1205421 1239520 1244600 1255380 1264704 1291052 1301496 1306830 1317400 1339072 1355725 1377624 1383270 1393952 1422400 1434084 1434720 1435025 1475488 1487424 1493520 1505600 1518412 1549400 1569225 1580880 1607228 1613815 1626870 1646400 1673098 1673840 1722030 1735328 1742440 1792605 1793400 1836832 1844360 1859280 1866900 1898015 1912112 1936578 1976100 1991360 2008608 2009035 2049600 2090928 2092300 2107840 2133600 2169160 2178050 2213232 2258400 2277618 2296040 2305450 2324100 2390140 2391200 2410842 2479040 2489200 2509647 2510760 2582104 2602992 2613660 2634800 2657221 2711450 2755248 2766540 2787904 2812649 2868168 2869440 2870050 2950976 2987040 2987675 3036824 3098800 3138450 3161760 3214456 3227630 3253740 3267075 3346196 3347680 3444060 3458175 3470656 3484880 3585210 3586800 3673664 3688720 3718560 3733800 3796030 3824224 3873156 3952200 4017216 4018070 4067175 4181856 4182745 4184600 4267200 4305075 4338320 4356100 4426464 4516800 4555236 4592080 4610900 4648200 4780280 4782400 4821684 4841445 4978400 5019294 5021520 5164208 5205984 5227320 5269600 5314442 5422900 5510496 5533080 5625298 5694045 5736336 5740100 5855843 5974080 5975350 6027105 6073648 6197600 6276900 6323520 6428912 6455260 6507480 6534150 6692392 6695360 6888120 6916350 6969760 7170420 7173600 7289927 7377440 7437120 7467600 7592060 7648448 7746312 7904400 7971663 8036140 8069075 8134350 8363712 8365490 8369200 8437947 8610150 8676640 8712200 8852928 8963025 9110472 9184160 9221800 9296400 9490075 9560560 9643368 9682890 9956800 10038588 10043040 10045175 10328416 10411968 10454640 10539200 10628884 10845800 11020992 11066160 11250596 11388090 11472672 11480200 11711686 11950700 12054210 12147296 12395200 12548235 12553800 12857824 12910520 13014960 13068300 13286105 13384784 13776240 13832700 13939520 14063245 14340840 14347200 14579854 14754880 14935200 15184120 15492624 15808800 15943326 16072280 16138150 16268700 16730980 16738400 16875894 17220300 17353280 17424400 17567529 17926050 18220944 18368320 18443600 18592800 18980150 19121120 19286736 19365780 19688543 20077176 20086080 20090350 20656832 20909280 20913725 21257768 21691600 21869781 22132320 22501192 22776180 22945344 22960400 23423372 23901400 24108420 24207225 24294592 25096470 25107600 25715648 25821040 26029920 26136600 26572210 26769568 27552480 27665400 28126490 28470225 28681680 29159708 29279215 29870400 30135525 30368240 30985248 31617600 31886652 32144560 32276300 32537400 33461960 33476800 33751788 34440600 34848800 35135058 35852100 36441888 36449635 36887200 37185600 37960300 38242240 38573472 38731560 39377086 39858315 40154352 40180700 40990901 41818560 41827450 42189735 42515536 43383200 43739562 44264640 45002384 45552360 45920800 46846744 47802800 48216840 48414450 50192940 50215200 51029489 51642080 52059840 52273200 53144420 53539136 55104960 55330800 56252980 56940450 57363360 58319416 58558430 59065629 60271050 60736480 61970496 62741175 63773304 64289120 64552600 65074800 66430525 66923920 67503576 68881200 69697600 70270116 70316225 71704200 72883776 72899270 73774400 75920600 77146944 77463120 78754172 79716630 80308704 80361400 81981802 83654900 84379470 85031072 86766400 87479124 87837645 90004768 91104720 91841600 93693488 95605600 96433680 96828900 98442715 100385880 100430400 102058978 103284160 104546400 106288840 109348905 110661600 112505960 113880900 114726720 116638832 117116860 118131258 120542100 121472960 122972703 125482350 127546608 128578240 129105200 130149600 132861050 133847840 135007152 137762400 140540232 140632450 143408400 145798540 146396075 151841200 153088467 154926240 157508344 159433260 160617408 160722800 163963604 167309800 168758940 170062144 174958248 175675290 180009536 182209440 182248175 187386976 191211200 192867360 193657800 196885430 199291575 200771760 204117956 204954505 209092800 210948675 212577680 218697810 221323200 225011920 227761800 233277664 234233720 236262516 241084200 245945406 250964700 255093216 255147445 258210400 260299200 265722100 267695680 270014304 275524800 281080464 281264900 286816800 291597080 292792150 295328145 303682400 306176934 309852480 315016688 318866520 321445600 327927208 334619600 337517880 349916496 351350580 357206423 364418880 364496350 374773952 385734720 387315600 393770860 398583150 401543520 408235912 409909010 421897350 425155360 437395620 439188225 450023840 455523600 466555328 468467440 472525032 482168400 491890812 492213575 501929400 510186432 510294890 516420800 531444200 540028608 546744525 562160928 562529800 573633600 583194160 585584300 590656290 607364800 612353868 614863515 630033376 637733040 642891200 655854416 669239200 675035760 699832992 702701160 714412846 728992700 765442335 774631200 787541720 797166300 803087040 816471824 819818020 843794700 850310720 874791240 878376450 900047680 911047200 936934880 945050064 964336800 983781624 984427150 1003858800 1020589780 1024772525 1062888400 1071619269 1093489050 1124321856 1125059600 1166388320 1171168600 1181312580 1224707736 1229727030 1260066752 1275466080 1275737225 1311708832 1338478400 1350071520 1399665984 1405402320 1428825692 1457985400 1476640725 1530884670 1549262400 1575083440 1594332600 1632943648 1639636040 1687589400 1749582480 1756752900 1786032115 1822094400 1873869760 1890100128 1928673600 1967563248 1968854300 2007717600 2041179560 2049545050 2125776800 2143238538 2186978100 2250119200 2332776640 2342337200 2362625160 2449415472 2459454060 2500444961 2550932160 2551474450 2623417664 2700143040 2810804640 2857651384 2915970800 2953281450 3061769340 3074317575 3150166880 3188665200 3265887296 3279272080 3375178800 3499164960 3513505800 3572064230 3780200256 3827211675 3935126496 3937708600 4015435200 4082359120 4099090100 4251553600 4286477076 4373956200 4500238400 4684674400 4725250320 4898830944 4918908120 5000889922 5102948900 5358096345 5621609280 5715302768 5831941600 5906562900 6123538680 6148635150 6300333760 6377330400 6558544160 6750357600 6998329920 7027011600 7144128460 7501334883 7654423350 7870252992 7875417200 8164718240 8198180200 8572954152 8747912400 8930160575 9369348800 9450500640 9797661888 9837816240 10001779844 10205897800 10716192690 11430605536 11663883200 11813125800 12247077360 12297270300 12502224805 12754660800 13117088320 13500715200 14054023200 14288256920 15002669766 15308846700 15750834400 16329436480 16396360400 17145908304 17495824800 17860321150 18901001280 19675632480 20003559688 20411795600 21432385380 22861211072 23626251600 24494154720 24594540600 25004449610 26790481725 28108046400 28576513840 30005339532 30617693400 31501668800 32792720800 34291816608 34991649600 35720642300 37506674415 39351264960 40007119376 40823591200 42864770760 47252503200 48988309440 49189081200 50008899220 53580963450 57153027680 60010679064 61235386800 62511124025 65585441600 68583633216 71441284600 75013348830 80014238752 81647182400 85729541520 94505006400 98378162400 100017798440 107161926900 114306055360 120021358128 122470773600 125022248050 142882569200 150026697660 160028477504 171459083040 187533372075 196756324800 200035596880 214323853800 240042716256 244941547200 250044496100 285765138400 300053395320 342918166080 375066744150 400071193760 428647707600 480085432512 500088992200 571530276800 600106790640 750133488300 800142387520 857295415200 1000177984400 1200213581280 1500266976600 1714590830400 2000355968800 2400427162560 3000533953200 4000711937600 6001067906400 12002135812800
- Sum of all divisors σ(n): 47091005030400
- Sum of proper divisors (its aliquot sum) s(n): 35088869217600
- 12002135812800 is an abundant number, because the sum of its proper divisors (35088869217600) is greater than itself. Its abundance is 23086733404800
Bases of 12002135812800
- Binary: 101011101010011101110000101010101010110000002
- Hexadecimal: 0xAEA770AAAC0
- Base-36: 495PDRYYO
Squares and roots of 12002135812800
- 12002135812800 squared (120021358128002) is 144051264068896316643840000
- 12002135812800 cubed (120021358128003) is 1728922835360410328561040766513152000000
-
The
square root of 12002135812800 is 3464409.8794455601 -
The
cube root of 12002135812800 is 22895.6430456747
Scales and comparisons
How big is 12002135812800?- 12,002,135,812,800 seconds is equal to 381,630 years, 41 weeks, 1 day, 22 hours, 40 minutes.
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To count from 1 to 12,002,135,812,800 would take you about nine hundred fifty-four thousand and seventy-six 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 12002135812800 cubic inches would be around 1908 feet tall.
Recreational maths with 12002135812800
- 12002135812800 backwards is 00821853120021
- The number of decimal digits it has is: 14
- The sum of 12002135812800's digits is 33
- More coming soon!
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The information we have on file for 12002135812800 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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