13314838013683200
13,314,838,013,683,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13314838013683200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
13314838013683200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13314838013683200:
29 × 32 × 52 × 31 × 41 × 61 × 421 × 3541
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 41 × 61 × 421 × 3541)See below for interesting mathematical facts about the number 13314838013683200 from the Numbermatics database.
Names of 13314838013683200
- Cardinal: 13314838013683200 can be written as Thirteen quadrillion, three hundred fourteen trillion, eight hundred thirty-eight billion, thirteen million, six hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.33148380136832 × 1016
Factors of 13314838013683200
Divisors of 13314838013683200
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 41 45 48 50 60 61 62 64 72 75 80 82 90 93 96 100 120 122 123 124 128 144 150 155 160 164 180 183 186 192 200 205 225 240 244 246 248 256 279 288 300 305 310 320 328 360 366 369 372 384 400 410 421 450 465 480 488 492 496 512 549 558 576 600 610 615 620 640 656 720 732 738 744 768 775 800 820 842 900 915 930 960 976 984 992 1025 1098 1116 1152 1200 1220 1230 1240 1263 1271 1280 1312 1395 1440 1464 1476 1488 1525 1536 1550 1600 1640 1684 1800 1830 1845 1860 1891 1920 1952 1968 1984 2050 2105 2196 2232 2304 2325 2400 2440 2460 2480 2501 2526 2542 2560 2624 2745 2790 2880 2928 2952 2976 3050 3075 3100 3200 3280 3368 3541 3600 3660 3690 3720 3782 3789 3813 3840 3904 3936 3968 4100 4210 4392 4464 4575 4608 4650 4800 4880 4920 4960 5002 5052 5084 5248 5490 5580 5673 5760 5856 5904 5952 6100 6150 6200 6315 6355 6400 6560 6736 6975 7082 7200 7320 7380 7440 7503 7564 7578 7626 7680 7808 7872 7936 8200 8420 8784 8928 9150 9225 9300 9455 9600 9760 9840 9920 10004 10104 10168 10496 10525 10623 10980 11160 11346 11439 11520 11712 11808 11904 12200 12300 12400 12505 12630 12710 12800 13051 13120 13472 13725 13950 14164 14400 14640 14760 14880 15006 15128 15156 15252 15616 15744 15872 16400 16840 17019 17261 17568 17705 17856 18300 18450 18600 18910 18945 19065 19200 19520 19680 19840 20008 20208 20336 20992 21050 21246 21960 22320 22509 22692 22878 23040 23424 23616 23808 24400 24600 24800 25010 25260 25420 25681 26102 26240 26944 27450 27900 28328 28365 28800 29280 29520 29760 30012 30256 30312 30504 31232 31488 31575 31775 31869 32800 33680 34038 34522 35136 35410 35712 36600 36900 37200 37515 37820 37890 38130 38400 39040 39153 39360 39680 40016 40416 40672 42100 42492 43920 44640 45018 45384 45756 46848 47232 47275 47616 48800 49200 49600 50020 50520 50840 51362 51783 52204 52480 53115 53888 54900 55800 56656 56730 57195 57600 58560 59040 59520 60024 60512 60624 61008 62525 62976 63150 63550 63738 65255 65600 67360 68076 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45104464816 45474173544 45855993600 46559447552 46941082368 47002393440 47368930775 48211423200 48896960800 49416708780 50135886336 50742522918 51010796160 51425518080 51847038720 52224881600 52379378496 52711156032 53238056832 54561852600 54907454200 55009080900 55456309200 55925898915 56380581020 56678662400 56842716930 57245222400 57607820800 58199309440 58676352960 58752991800 59153396480 59654292176 60632231392 60648249600 61642483200 61770885975 62669857920 63763495200 64281897600 64808798400 65474223120 65888945040 66547571040 67111078698 67656697224 68014394880 68211260316 69839171328 70281541376 70411623552 70475726275 70984075776 72749136800 73345441200 73941745600 74567865220 75203829504 75790289240 77138277120 78235137280 78337322400 79066734048 81842778900 82361181300 83184463800 83559810560 84570871530 85017993600 85264075395 85709196800 85867833600 86411731200 87298964160 87851926720 88014529440 88730094720 89481438264 90208929632 90948347088 91711987200 93209831525 93882164736 94004786880 94737861550 96422846400 97793921600 98833417560 101485045836 102021592320 103694077440 104449763200 104758756992 105422312064 106476113664 109123705200 109814908400 110018161800 110912618400 111851797830 112761162040 113357324800 113685433860 115580191091 116398618880 117352705920 117505983600 118306792960 119308584352 121264462784 121296499200 123541771950 125339715840 126856307295 127526990400 128563795200 129617596800 130948446240 131777890080 133095142080 134222157396 135313394448 136422520632 139678342656 140563082752 140823247104 140951452550 142106792325 145498273600 146690882400 147883491200 149135730440 150407659008 151580578480 154276554240 156470274560 156674644800 158133468096 163685557800 164722362600 166368927600 167777696745 169141743060 170035987200 170528150790 171735667200 172823462400 174597928320 175703853440 176029058880 177460189440 178962876528 180417859264 181896694176 186419663050 188009573760 189475723100 192845692800 195587843200 197666835120 202970091672 204043184640 208899526400 209517513984 210844624128 211427178825 212952227328 218247410400 219629816800 220036323600 221825236800 223703595660 225522324080 227370867720 231160382182 232797237760 234705411840 235011967200 238617168704 242528925568 247083543900 250679431680 253712614590 255053980800 257127590400 259235193600 261896892480 263555780160 266190284160 268444314792 270626788896 272845041264 279629494575 281646494208 281902905100 284213584650 290996547200 293381764800 295766982400 298271460880 303161156960 313349289600 316266936192 327371115600 329444725200 332737855200 335555393490 338283486120 340071974400 341056301580 346740573273 349195856640 351407706880 352058117760 354920378880 357925753056 360835718528 363793388352 372839326100 376019147520 378951446200 385691385600 391175686400 395333670240 405940183344 417799052800 419035027968 421689248256 422854357650 426320376975 436494820800 439259633600 440072647200 443650473600 447407191320 451044648160 454741735440 462320764364 469410823680 470023934400 477234337408 485057851136 494167087800 507425229180 510107961600 518470387200 523793784960 527111560320 532380568320 536888629584 541253577792 545690082528 559258989150 563805810200 568427169300 577900955455 581993094400 586763529600 591533964800 596542921760 606322313920 626698579200 632533872384 634281536475 654742231200 658889450400 665475710400 671110786980 676566972240 682112603160 693481146546 698391713280 702815413760 704116235520 715851506112 721671437056 727586776704 745678652200 752038295040 757902892400 771382771200 782351372800 790667340480 811880366688 838888483725 845708715300 852640753950 872989641600 878519267200 880145294400 887300947200 894814382640 902089296320 909483470880 924641528728 940047868800 954468674816 970115702272 988334175600 1014850458360 1020215923200 1040221719819 1047587569920 1054223120640 1064761136640 1073777259168 1082507155584 1091380165056 1118517978300 1127611620400 1136854338600 1155801910910 1163986188800 1173527059200 1193085843520 1212644627840 1253397158400 1265067744768 1268563072950 1309484462400 1317778900800 1330951420800 1342221573960 1353133944480 1364225206320 1386962293092 1408232471040 1431703012224 1443342874112 1455173553408 1491357304400 1515805784800 1581334680960 1623760733376 1677776967450 1691417430600 1705281507900 1733702866365 1745979283200 1757038534400 1760290588800 1774601894400 1789628765280 1804178592640 1818966941760 1849283057456 1880095737600 1908937349632 1976668351200 2029700916720 2080443439638 2095175139840 2108446241280 2147554518336 2165014311168 2182760330112 2237035956600 2255223240800 2273708677200 2311603821820 2347054118400 2386171687040 2425289255680 2537126145900 2618968924800 2635557801600 2661902841600 2684443147920 2706267888960 2728450412640 2773924586184 2863406024448 2889504777275 2910347106816 2982714608800 3031611569600 3162669361920 3247521466752 3355553934900 3382834861200 3410563015800 3467405732730 3491958566400 3514077068800 3520581177600 3579257530560 3608357185280 3637933883520 3698566114912 3760191475200 3953336702400 4059401833440 4160886879276 4295109036672 4330028622336 4365520660224 4474071913200 4510446481600 4547417354400 4623207643640 4772343374080 4850578511360 5074252291800 5201108599095 5237937849600 5271115603200 5323805683200 5368886295840 5412535777920 5456900825280 5547849172368 5726812048896 5779009554550 5965429217600 6063223139200 6325338723840 6495042933504 6711107869800 6765669722400 6821126031600 6934811465460 7041162355200 7158515061120 7216714370560 7275867767040 7397132229824 7906673404800 8118803666880 8321773758552 8590218073344 8668514331825 8731041320448 8948143826400 9020892963200 9094834708800 9246415287280 9544686748160 10148504583600 10402217198190 10475875699200 10542231206400 10737772591680 10825071555840 10913801650560 11095698344736 11558019109100 11930858435200 12126446278400 12990085867008 13422215739600 13531339444800 13642252063200 13869622930920 14317030122240 14551735534080 14794264459648 15813346809600 16237607333760 16643547517104 17180436146688 17337028663650 17896287652800 18041785926400 18189669417600 18492830574560 20297009167200 20804434396380 21475545183360 21650143111680 21827603301120 22191396689472 23116038218200 23861716870400 24252892556800 26005542995475 26844431479200 27062678889600 27284504126400 27739245861840 28634060244480 29588528919296 31626693619200 32475214667520 33287095034208 34674057327300 35792575305600 36083571852800 36379338835200 36985661149120 40594018334400 41608868792760 42951090366720 43655206602240 44382793378944 46232076436400 47723433740800 52011085990950 53688862958400 54125357779200 54569008252800 55478491723680 59177057838592 64950429335040 66574190068416 69348114654600 71585150611200 72758677670400 73971322298240 81188036668800 83217737585520 85902180733440 88765586757888 92464152872800 104022171981900 107377725916800 108250715558400 109138016505600 110956983447360 133148380136832 138696229309200 143170301222400 147942644596480 162376073337600 166435475171040 177531173515776 184928305745600 208044343963800 214755451833600 218276033011200 221913966894720 266296760273664 277392458618400 295885289192960 324752146675200 332870950342080 369856611491200 416088687927600 429510903667200 443827933789440 532593520547328 554784917236800 665741900684160 739713222982400 832177375855200 887655867578880 1109569834473600 1331483801368320 1479426445964800 1664354751710400 2219139668947200 2662967602736640 3328709503420800 4438279337894400 6657419006841600 13314838013683200
- Sum of all divisors σ(n): 51349077511699968
- Sum of proper divisors (its aliquot sum) s(n): 38034239498016768
- 13314838013683200 is an abundant number, because the sum of its proper divisors (38034239498016768) is greater than itself. Its abundance is 24719401484333568
Bases of 13314838013683200
- Binary: 1011110100110111000110010011100000110000100110000000002
- Hexadecimal: 0x2F4DC64E0C2600
- Base-36: 3N3PS52F0G0
Squares and roots of 13314838013683200
- 13314838013683200 squared (133148380136832002) is 177284911330623182830429962240000
- 13314838013683200 cubed (133148380136832003) is 2360519876637437017150739552877056379322368000000
-
The
square root of 13314838013683200 is 115389938.9621261565 -
The
cube root of 13314838013683200 is 237016.5264320667
Scales and comparisons
How big is 13314838013683200?- 13,314,838,013,683,200 seconds is equal to 423,370,663 years, 17 weeks, 3 days, 16 hours.
-
To count from 1 to 13,314,838,013,683,200 would take you about one billion, two hundred seventy million, one hundred eleven thousand, nine hundred ninety 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 13314838013683200 cubic inches would be around 19751.4 feet tall.
Recreational maths with 13314838013683200
- 13314838013683200 backwards is 00238631083841331
- The number of decimal digits it has is: 17
- The sum of 13314838013683200's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13314838013683200 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 13314838013683200 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13314838013683200/
Chicago style:
Numbermatics. 2024. "Number 13314838013683200 - Facts about the integer". https://numbermatics.com/n/13314838013683200/
The information we have on file for 13314838013683200 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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