13428188211513478200
13,428,188,211,513,478,200 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13428188211513478200 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
13428188211513478200 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13428188211513478200:
23 × 3 × 52 × 7 × 23 × 41 × 53 × 523 × 122314763
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 23 × 41 × 53 × 523 × 122314763)See below for interesting mathematical facts about the number 13428188211513478200 from the Numbermatics database.
Names of 13428188211513478200
- Cardinal: 13428188211513478200 can be written as Thirteen quintillion, four hundred twenty-eight quadrillion, one hundred eighty-eight trillion, two hundred eleven billion, five hundred thirteen million, four hundred seventy-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.34281882115134782 × 1019
Factors of 13428188211513478200
Divisors of 13428188211513478200
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 25 28 30 35 40 41 42 46 50 53 56 60 69 70 75 82 84 92 100 105 106 115 120 123 138 140 150 159 161 164 168 175 184 200 205 210 212 230 246 265 276 280 287 300 318 322 328 345 350 371 410 420 424 460 483 492 523 525 530 552 574 575 600 615 636 644 690 700 742 795 805 820 840 861 920 943 966 984 1025 1046 1050 1060 1113 1148 1150 1219 1230 1272 1288 1325 1380 1400 1435 1484 1569 1590 1610 1640 1722 1725 1855 1886 1932 2050 2092 2100 2120 2173 2226 2296 2300 2415 2438 2460 2615 2650 2760 2829 2870 2968 3075 3138 3180 3220 3444 3450 3657 3661 3710 3772 3864 3975 4025 4100 4184 4200 4305 4346 4452 4600 4715 4830 4876 4920 5230 5300 5565 5658 5740 6095 6150 6276 6360 6440 6519 6601 6888 6900 7175 7314 7322 7420 7544 7845 7950 8050 8200 8533 8610 8692 8904 9275 9430 9660 9752 10460 10600 10865 10983 11130 11316 11480 12029 12075 12190 12300 12552 13038 13075 13202 13800 14145 14350 14628 14644 14840 15211 15690 15900 16100 17066 17220 17384 18285 18305 18550 18860 19320 19803 20920 21443 21525 21730 21966 22260 22632 23575 24058 24150 24380 24600 25599 26076 26150 26404 27719 27825 28290 28700 29256 29288 30422 30475 31380 31800 32200 32595 33005 34132 34440 36087 36570 36610 37100 37720 39225 39606 42665 42886 43050 43460 43932 44520 45633 47150 48116 48300 48760 49979 51198 52152 52300 52808 54325 54915 55438 55650 56580 57400 60145 60844 60950 62760 64329 65190 66010 68264 70725 72174 73140 73220 74200 76055 78450 79212 83157 84203 85330 85772 86100 86920 87864 91266 91425 91525 94300 96232 96600 99015 99958 102396 104600 107215 108650 109830 110876 111300 113160 120290 121688 121900 127995 128658 130380 132020 138595 141450 144348 146280 146440 149937 150101 152110 156900 158424 162975 165025 166314 168406 170660 171544 172200 180435 182532 182850 183050 188600 194033 198030 199916 204792 213325 214430 217300 219660 221752 222600 228165 240580 243800 249895 252609 255990 257316 260760 264040 274575 277190 282900 288696 299874 300202 300725 304220 313800 321645 325950 330050 332628 336812 341320 349853 360870 365064 365700 366100 380275 388066 396060 399832 415785 421015 426650 428860 434600 439320 450303 456330 481160 493189 495075 499790 505218 511980 514632 536075 549150 554380 565800 582099 599748 600404 601450 608440 637537 639975 643290 651900 660100 665256 673624 692975 699706 721740 731400 732200 749685 750505 760550 776132 792120 831570 842030 853300 857720 900606 902175 912660 970165 986378 990150 999580 1010436 1023960 1049559 1072150 1098300 1108760 1136479 1140825 1164198 1199496 1200808 1202900 1249475 1263045 1275074 1279950 1286580 1303800 1320200 1385950 1399412 1443480 1479567 1499370 1501010 1521100 1552264 1608225 1663140 1684060 1706600 1749265 1801212 1804350 1825320 1912611 1940330 1972756 1980300 1999160 2020872 2078925 2099118 2105075 2144300 2196600 2251515 2272958 2281650 2328396 2405800 2465945 2498950 2526090 2550148 2559900 2573160 2771900 2798824 2910495 2959134 2998740 3002020 3042200 3187685 3216450 3326280 3368120 3409437 3452323 3498530 3602424 3608700 3748425 3752525 3825222 3880660 3945512 3960600 4157850 4198236 4210150 4288600 4462759 4503030 4545916 4563300 4656792 4850825 4931890 4997900 5052180 5100296 5119800 5247795 5543800 5682395 5820990 5918268 5997480 6004040 6315225 6375370 6432900 6818874 6904646 6997060 7217400 7397835 7496850 7505050 7650444 7761320 7955353 8315700 8396472 8420300 8746325 8925518 9006060 9091832 9126600 9563055 9701650 9863780 9995800 10104360 10356969 10495590 11257575 11364790 11641980 11836536 12329725 12630450 12750740 12865800 13388277 13637748 13809292 13994120 14552475 14795670 14993700 15010100 15300888 15910706 15938425 16631400 16840600 17047185 17261615 17492650 17851036 18012120 19126110 19403300 19727560 20713938 20991180 22313795 22515150 22729580 23283960 23866059 24659450 25260900 25501480 26139017 26238975 26776554 27275496 27618584 28411975 29104950 29591340 29987400 30020200 31821412 31876850 34094370 34523230 34985300 35702072 36989175 38252220 38806600 39776765 41427876 41982360 44627590 45030300 45459160 47732118 47815275 49318900 50521800 51784845 52278034 52477950 53553108 56823950 58209900 59182680 63642824 63753700 66941385 68188740 69046460 69970600 73978350 76504440 78417051 79553530 82855752 85235925 86308075 89255180 90060600 95464236 95630550 98637800 103569690 104556068 104955900 107106216 111568975 113647900 116419800 119330295 122314763 127507400 130695085 133882770 136377480 138092920 147956700 156834102 159107060 170471850 172616150 178510360 182973119 190928472 191261100 198883825 207139380 209112136 209911800 223137950 227295800 238660590 244629526 258924225 261390170 267765540 295913400 313668204 318214120 334706925 340943700 345232300 365946238 366944289 382522200 392085255 397767650 414278760 446275900 477321180 489259052 517848450 522780340 535531080 548919357 596651475 611573815 627336408 653475425 669413850 681887400 690464600 731892476 733888578 784170510 795535300 856203341 892551800 914865595 954642360 978518104 1035696900 1045560680 1097838714 1193302950 1223147630 1306950850 1338827700 1463784952 1467777156 1568341020 1591070600 1712406682 1829731190 1834721445 1960426275 2071393800 2195677428 2386605900 2446295260 2568610023 2613901700 2677655400 2744596785 2813239549 2935554312 3057869075 3136682040 3424813364 3659462380 3669442890 3920852550 4281016705 4391354856 4574327975 4773211800 4892590520 5014905283 5137220046 5227803400 5489193570 5626479098 6115738150 6482682439 6849626728 7318924760 7338885780 7841705100 8439718647 8562033410 9148655950 9173607225 10029810566 10274440092 10978387140 11252958196 12231476300 12843050115 12965364878 13722983925 14066197745 14677771560 15044715849 15683410200 16879437294 17124066820 18297311900 18347214450 19448047317 19692676843 20059621132 20548880184 21405083525 21956774280 22505916392 24462952600 25074526415 25686100230 25930729756 27445967850 28132395490 30089431698 32413412195 33758874588 34248133640 35104336981 36594623800 36694428900 38896094634 39385353686 40119242264 42198593235 42810167050 45378777073 50149052830 51372200460 51861459512 54891935700 56264790980 59078030529 60178863396 63970621049 64215250575 64826824390 67517749176 70208673962 70330988725 73388857800 75223579245 77792189268 78770707372 84397186470 85620334100 90757554146 97240236585 98463384215 100298105660 102744400920 105313010943 109783871400 112529581960 115342821509 118156061058 120357726792 125372632075 127941242098 128430501150 129653648780 136136331219 140417347924 140661977450 149101696097 150447158490 155584378536 157541414744 162067060975 168794372940 171240668200 175521684905 181515108292 191911863147 194480473170 196926768430 200596211320 210626021886 210992966175 226893885365 230685643018 236312122116 250745264150 255882484196 256861002300 259307297560 265789979999 272272662438 280834695848 281323954900 295390152645 298203392194 300894316980 319853105245 324134121950 337588745880 346028464527 351043369810 363030216584 376117896225 383823726294 388960946340 393853536860 421252043772 421985932350 447305088291 447794347343 453787770730 461371286036 472624244232 486201182925 492316921075 501490528300 511764968392 513722004600 526565054715 531579959998 544545324876 562647909800 576714107545 590780305290 596406784388 601788633960 639706210490 648268243900 680681656095 692056929054 702086739620 745508480485 752235792450 767647452588 777921892680 787707073720 797369939997 807399750563 842504087544 843971864700 877608424525 894610176582 895588694686 907575541460 922742572072 959559315735 972402365850 984633842150 1002981056600 1043711872679 1053130109430 1063159919996 1089090649752 1134469426825 1153428215090 1181560610580 1192813568776 1279412420980 1296536487800 1328949899995 1343383042029 1361363312190 1384113858108 1404173479240 1471324284127 1476950763225 1491016960970 1504471584900 1535294905176 1594739879994 1599265526225 1614799501126 1687943729400 1730142322635 1755216849050 1789220353164 1791177389372 1815151082920 1860529859993 1919118631470 1944804731700 1969267684300 2087423745358 2106260218860 2126319839992 2236525441455 2238971736715 2268938853650 2306856430180 2363121221160 2422199251689 2558824841960 2622795463009 2632825273575 2657899799990 2686766084058 2722726624380 2768227716216 2883570537725 2942648568254 2953901526450 2982033921940 3008943169800 3131135618037 3189479759988 3198531052450 3229599002252 3390442915597 3403408280475 3460284645270 3510433698100 3578440706328 3582354778744 3721059719986 3727542402425 3838237262940 3889609463400 3938535368600 3986849699985 4036998752815 4174847490716 4212520437720 4413972852381 4473050882910 4477943473430 4537877707300 4613712860360 4797796578675 4844398503378 5218559363395 5245590926018 5265650547150 5315799599980 5373532168116 5445453248760 5581589579979 5767141075450 5885297136508 5907803052900 5964067843880 6113169539977 6262271236074 6378959519976 6397062104900 6459198004504 6644749499975 6716915210145 6780885831194 6806816560950 6920569290540 7020867396200 7356621420635 7442119439972 7455084804850 7676474525880 7868386389027 7973699399970 8073997505630 8349694981432 8650711613175 8827945704762 8946101765820 8955886946860 9075755414600 9302649299965 9595593157350 9688797006756 10171328746791 10299269988889 10437118726790 10491181852036 10531301094300 10631599199960 10747064336232 11163179159958 11182627207275 11194858683575 11534282150900 11770594273016 11815606105800 12110996258445 12226339079954 12524542472148 12794124209800 13113977315045 13289498999950 13433830420290 13561771662388 13613633121900 13841138581080 14713242841270 14884238879944 14910169609700 15655678090185 15736772778054 15947398799940 16147995011260 16952214577985 17301423226350 17655891409524 17892203531640 17911773893720 18339508619931 18359568241063 18605298599930 19191186314700 19377594013512 19934248499925 20184993764075 20342657493582 20598539977778 20874237453580 20982363704072 21062602188600 22069864261905 22326358319916 22365254414550 22389717367150 23068564301800 23733100409179 24221992516890 24452678159908 25049084944296 26092796816975 26227954630090 26578997999900 26867660840580 27123543324776 27227266243800 27907947899895 29426485682540 29820339219400 30565847699885 30897809966667 31311356180370 31473545556108 31894797599880 32295990022520 33584576050725 33904429155970 34602846452700 35311782819048 36679017239862 36719136482126 36783107103175 37210597199860 38382372629400 39341931945135 39868496999850 40369987528150 40685314987164 41197079955556 41748474907160 42792186779839 44139728523810 44652716639832 44730508829100 44779434734300 46513246499825 47466200818358 48443985033780 48905356319816 50856643733955 51496349944445 52185593633950 52455909260180 53157995999800 53735321681160 55078704723189 55815895799790 58852971365080 60324295649207 60554981292225 61131695399770 61795619933334 62622712360740 62947091112216 65569886575225 67169152101450 67808858311940 69205692905400 71199301227537 73358034479724 73438272964252 73566214206350 74421194399720 77980187058731 78278390450925 78683863890270 79736993999700 80739975056300 81370629974328 82394159911112 84761072889925 85584373559678 88279457047620 89461017658200 89558869468600 91697543099655 91797841205315 93026492999650 94932401636716 96887970067560 101713287467910 102992699888890 104371187267900 104911818520360 110157409446378 110349321309525 111631791599580 118665502045895 120648591298414 121109962584450 122263390799540 123591239866668 125245424721480 128376560339517 131139773150450 134338304202900 135617716623880 139008159539477 139539739499475 142398602455074 146716068959448 146876545928504 147132428412700 152829238499425 154489049833335 155960374117462 156556780901850 157367727780540 159473987999400 161479950112600 169522145779850 171168747119356 176558914095240 180972886947621 183395086199310 183595682410630 186052985999300 189864803273432 196709659725675 203426574935820 205985399777780 208742374535800 213960933899195 220314818892756 220698642619050 223263583199160 233940561176193 237331004091790 241297182596828 242219925168900 244526781599080 247182479733336 254283218669775 256753120679034 257481749722225 262279546300900 268676608405800 275393523615945 278016319078954 279079478998950 284797204910148 294264856825400 301621478246035 305658476998850 308978099666670 311920748234924 313113561803700 314735455561080 339044291559700 342337494238712 355996506137685 361945773895242 366790172398620 367191364821260 372105971998600 389900935293655 393419319451350 406853149871640 411970799555560 417024478618431 422270069544449 427921867798390 440629637785512 441397285238100 458487715498275 458989206026575 467881122352386 474662008183580 482594365193656 484439850337800 508566437339550 513506241358068 514963499444450 524559092601800 545861309411117 550787047231890 556032638157908 558158957997900 569594409820296 593327510229475 603242956492070 611316953997700 617956199333340 623841496469848 626227123607400 641882801697585 678088583119400 695040797697385 711993012275370 723891547790484 733580344797240 734382729642520 772445249166675 779801870587310 786838638902700 834048957236862 844540139088898 855843735596780 882794570476200 904864434738105 916975430996550 917978412053150 935762244704772 949324016367160 973057116776339 1017132874679100 1027012482716136 1029926998888900 1069804669495975 1091722618822234 1101574094463780 1112065276315816 1116317915995800 1169702805880965 1186655020458950 1206485912984140 1222633907995400 1235912398666680 1266810208633347 1283765603395170 1376967618079725 1390081595394770 1423986024550740 1447783095580968 1508107391230175 1544890498333350 1559603741174620 1573677277805400 1637583928233351 1668097914473724 1689080278177796 1711687471193560 1779982530688425 1809728869476210 1833950861993100 1835956824106300 1871524489409544 1946114233552678 1949504676468275 2034265749358200 2059853997777800 2085122393092155 2111350347722245 2139609338991950 2183445237644468 2203148188927560 2339405611761930 2373310040917900 2412971825968280 2533620417266694 2567531206790340 2729306547055585 2753935236159450 2780163190789540 2847972049101480 2919171350329017 3016214782460350 3089780996666700 3119207482349240 3197187669407971 3209414008487925 3275167856466702 3336195828947448 3378160556355592 3475203988486925 3559965061376850 3619457738952420 3667901723986200 3671913648212600 3892228467105356 3899009352936550 4170244786184310 4222700695444490 4279218677983900 4366890475288936 4524322173690525 4678811223523860 4746620081835800 4865285583881695 5067240834533388 5135062413580680 5458613094111170 5507870472318900 5560326381579080 5838342700658034 5848514029404825 6032429564920700 6179561993333400 6334051043166735 6394375338815942 6418828016975850 6550335712933404 6950407976973850 7119930122753700 7238915477904840 7784456934210712 7798018705873100 8187919641166755 8340489572368620 8445401390888980 8558437355967800 9048644347381050 9357622447047720 9591563008223913 9730571167763390 10134481669066776 10425611965460775 10556751738611225 10917226188222340 11015740944637800 11676685401316068 11697028058809650 12064859129841400 12668102086333470 12788750677631884 12837656033951700 13100671425866808 13646532735277925 13900815953947700 14239860245507400 14595856751645085 15596037411746200 15985938347039855 16375839282333510 16680979144737240 16890802781777960 18097288694762100 19183126016447826 19461142335526780 20851223930921550 21113503477222450 21834452376444680 22380313685855797 23353370802632136 23394056117619300 24326427919408475 25336204172666940 25577501355263768 25675312067903400 27293065470555850 27801631907895400 29191713503290170 31670255215833675 31971876694079710 32751678564667020 36194577389524200 38366252032895652 38922284671053560 40939598205833775 41702447861843100 42227006954444900 44760627371711594 46788112235238600 47957815041119565 48652855838816950 50672408345333880 54586130941111700 58383427006580340 63340510431667350 63943753388159420 65503357129334040 67140941057567391 72979283758225425 76732504065791304 79929691735199275 81879196411667550 83404895723686200 84454013908889800 89521254743423188 95915630082239130 97305711677633900 109172261882223400 111901568429278985 116766854013160680 126681020863334700 127887506776318840 134281882115134782 145958567516450850 159859383470398550 163758392823335100 179042509486846376 191831260164478260 194611423355267800 223803136858557970 239789075205597825 253362041726669400 268563764230269564 291917135032901700 319718766940797100 327516785646670200 335704705287836955 383662520328956520 447606273717115940 479578150411195650 537127528460539128 559507842146394925 583834270065803400 639437533881594200 671409410575673910 895212547434231880 959156300822391300 1119015684292789850 1342818821151347820 1678523526439184775 1918312601644782600 2238031368585579700 2685637642302695640 3357047052878369550 4476062737171159400 6714094105756739100 13428188211513478200
- Sum of all divisors σ(n): 51911955854340341760
- Sum of proper divisors (its aliquot sum) s(n): 38483767642826863560
- 13428188211513478200 is an abundant number, because the sum of its proper divisors (38483767642826863560) is greater than itself. Its abundance is 25055579431313385360
Bases of 13428188211513478200
- Binary: 10111010010110101000001000001000011001000101100101001100001110002
- Hexadecimal: 0xBA5A820864594C38
- Base-36: 2U0RBG6RPRYGO
Squares and roots of 13428188211513478200
- 13428188211513478200 squared (134281882115134782002) is 180316238643829544344954660261875240000
- 13428188211513478200 cubed (134281882115134782003) is 2421320390101522972916025921795090768553674866859768000000
-
The
square root of 13428188211513478200 is 3664449237.1314789713 -
The
cube root of 13428188211513478200 is 2376872.0655641033
Scales and comparisons
How big is 13428188211513478200?- 13,428,188,211,513,478,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,428,188,211,513,478,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13428188211513478200 cubic inches would be around 198072.7 feet tall.
Recreational maths with 13428188211513478200
- 13428188211513478200 backwards is 00287431511288182431
- 13428188211513478200 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13428188211513478200's digits is 69
- More coming soon!
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Cite this page
MLA style:
"Number 13428188211513478200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 13428188211513478200 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/13428188211513478200/
Chicago style:
Numbermatics. 2024. "Number 13428188211513478200 - Facts about the integer". https://numbermatics.com/n/13428188211513478200/
The information we have on file for 13428188211513478200 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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