13638630680380223132160
13,638,630,680,380,223,132,160 is an even composite number composed of eight prime numbers multiplied together.
13638630680380223132160 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 13638630680380223132160:
29 × 3 × 5 × 7 × 13 × 71 × 337 × 815605052291
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 71 × 337 × 815605052291)See below for interesting mathematical facts about the number 13638630680380223132160 from the Numbermatics database.
Names of 13638630680380223132160
- Cardinal: 13638630680380223132160 can be written as Thirteen sextillion, six hundred thirty-eight quintillion, six hundred thirty quadrillion, six hundred eighty trillion, three hundred eighty billion, two hundred twenty-three million, one hundred thirty-two thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.363863068038022313216 × 1022
Factors of 13638630680380223132160
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 815605052729
Divisors of 13638630680380223132160
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 71 78 80 84 91 96 104 105 112 120 128 130 140 142 156 160 168 182 192 195 208 210 213 224 240 256 260 273 280 284 312 320 336 337 355 364 384 390 416 420 426 448 455 480 497 512 520 546 560 568 624 640 672 674 710 728 768 780 832 840 852 896 910 923 960 994 1011 1040 1065 1092 1120 1136 1248 1280 1344 1348 1365 1420 1456 1491 1536 1560 1664 1680 1685 1704 1792 1820 1846 1920 1988 2022 2080 2130 2184 2240 2272 2359 2485 2496 2560 2688 2696 2730 2769 2840 2912 2982 3120 3328 3360 3370 3408 3584 3640 3692 3840 3976 4044 4160 4260 4368 4381 4480 4544 4615 4718 4970 4992 5055 5376 5392 5460 5538 5680 5824 5964 6240 6461 6656 6720 6740 6816 7077 7280 7384 7455 7680 7952 8088 8320 8520 8736 8762 8960 9088 9230 9436 9940 9984 10110 10752 10784 10920 11076 11360 11648 11795 11928 12480 12922 13143 13440 13480 13632 13845 14154 14560 14768 14910 15904 16176 16640 17040 17472 17524 17920 18176 18460 18872 19383 19880 19968 20220 21568 21840 21905 22152 22720 23296 23590 23856 23927 24960 25844 26286 26880 26960 27264 27690 28308 29120 29536 29820 30667 31808 32305 32352 33280 34080 34944 35048 35385 36352 36920 37744 38766 39760 40440 43136 43680 43810 44304 45440 46592 47180 47712 47854 49920 51688 52572 53760 53920 54528 55380 56616 58240 59072 59640 61334 63616 64610 64704 65715 68160 69888 70096 70770 71781 73840 75488 77532 79520 80880 86272 87360 87620 88608 90880 92001 94360 95424 95708 96915 99840 103376 105144 107840 109056 110760 113232 116480 118144 119280 119635 122668 127232 129220 129408 131430 136320 139776 140192 141540 143562 147680 150976 153335 155064 159040 161760 167489 172544 174720 175240 177216 181760 184002 188720 190848 191416 193830 206752 210288 215680 221520 226464 232960 236288 238560 239270 245336 254464 258440 258816 262860 272640 280384 283080 287124 295360 301952 306670 310128 311051 318080 323520 334978 349440 350480 354432 358905 368004 377440 381696 382832 387660 413504 420576 431360 443040 452928 460005 472576 477120 478540 490672 502467 516880 517632 525720 545280 560768 566160 574248 590720 603904 613340 620256 622102 636160 647040 669956 698880 700960 708864 717810 736008 754880 763392 765664 775320 827008 837445 841152 862720 886080 905856 920010 933153 954240 957080 981344 1004934 1033760 1051440 1121536 1132320 1148496 1181440 1207808 1226680 1240512 1244204 1272320 1294080 1339912 1401920 1417728 1435620 1472016 1509760 1531328 1550640 1555255 1654016 1674890 1682304 1772160 1811712 1840020 1866306 1908480 1914160 1962688 2009868 2067520 2102880 2177357 2243072 2264640 2296992 2362880 2453360 2481024 2488408 2512335 2588160 2679824 2803840 2871240 2944032 3019520 3062656 3101280 3110510 3308032 3349780 3364608 3544320 3623424 3680040 3732612 3816960 3828320 3925376 4019736 4135040 4205760 4354714 4529280 4593984 4665765 4906720 4962048 4976816 5024670 5359648 5607680 5742480 5888064 6039040 6125312 6202560 6221020 6532071 6699560 6729216 7088640 7360080 7465224 7656640 7850752 8039472 8270080 8411520 8709428 9058560 9187968 9331530 9813440 9924096 9953632 10049340 10719296 10886785 11215360 11484960 11776128 12250624 12405120 12442040 13064142 13399120 14720160 14930448 15313280 15701504 16078944 16540160 16823040 17418856 18117120 18375936 18663060 19626880 19907264 20098680 21438592 21773570 22969920 23552256 24810240 24884080 26128284 26798240 29440320 29860896 30626560 32157888 32660355 33646080 34837712 36751872 37326120 39253760 39814528 40197360 42877184 43547140 45939840 47104512 49620480 49768160 52256568 53596480 58880640 59721792 61253120 64315776 65320710 69675424 74652240 78507520 79629056 80394720 85754368 87094280 91879680 99536320 104513136 107192960 117761280 119443584 128631552 130641420 139350848 149304480 159258112 160789440 174188560 183759360 199072640 209026272 214385920 235522560 238887168 257263104 261282840 278701696 298608960 321578880 348377120 398145280 418052544 428771840 477774336 522565680 557403392 597217920 643157760 696754240 796290560 836105088 1045131360 1114806784 1194435840 1286315520 1393508480 1672210176 2090262720 2388871680 2787016960 3344420352 4180525440 5574033920 8361050880 16722101760 815605052291 1631210104582 2446815156873 3262420209164 4078025261455 4893630313746 5709235366037 6524840418328 8156050522910 9787260627492 10602865679783 11418470732074 12234075784365 13049680836656 16312101045820 17127706098111 19574521254984 21205731359566 22836941464148 24468151568730 26099361673312 28546176830185 31808597039349 32624202091640 34255412196222 39149042509968 42411462719132 45673882928296 48936303137460 52198723346624 53014328398915 57092353660370 57907958712661 63617194078698 65248404183280 68510824392444 74220059758481 78298085019936 84822925438264 85638530490555 91347765856592 97872606274920 104397446693248 106028656797830 114184707320740 115815917425322 127234388157396 130496808366560 137021648784888 148440119516962 156596170039872 159042985196745 169645850876528 171277060981110 173723876137983 182695531713184 195745212549840 208794893386496 212057313595660 222660179275443 228369414641480 231631834850644 254468776314792 260993616733120 274043297569776 274858902622067 289539793563305 296880239033924 313192340079744 318085970393490 339291701753056 342554121962220 347447752275966 365391063426368 371100298792405 391490425099680 405355710988627 417589786772992 424114627191320 445320358550886 456738829282960 463263669701288 508937552629584 521987233466240 548086595139552 549717805244134 579079587126610 593760478067848 626384680159488 636171940786980 678583403506112 685108243924440 694895504551932 730782126852736 742200597584810 752803463264593 782980850199360 810711421977254 824576707866201 848229254382640 868619380689915 890640717101772 913477658565920 926527339402576 1017875105259168 1043974466932480 1096173190279104 1099435610488268 1113300896377215 1158159174253220 1187520956135696 1216067132965881 1252769360318976 1272343881573960 1357166807012224 1370216487848880 1374294513110335 1389791009103864 1461564253705472 1484401195169620 1505606926529186 1565961700398720 1621422843954508 1649153415732402 1696458508765280 1737238761379830 1781281434203544 1826955317131840 1853054678805152 1924012318354469 2026778554943135 2035750210518336 2087948933864960 2192346380558208 2198871220976536 2226601792754430 2258410389793779 2316318348506440 2375041912271392 2432134265931762 2544687763147920 2714333614024448 2740432975697760 2748589026220670 2779582018207728 2923128507410944 2968802390339240 3011213853058372 3131923400797440 3242845687909016 3298306831464804 3392917017530560 3474477522759660 3562562868407088 3573165734086871 3653910634263680 3706109357610304 3764017316322965 3848024636708938 4053557109886270 4071500421036672 4122883539331005 4384692761116416 4397742441953072 4453203585508860 4516820779587558 4632636697012880 4750083824542784 4864268531863524 5089375526295840 5269624242852151 5428667228048896 5480865951395520 5497178052441340 5559164036415456 5772036955063407 5937604780678480 6022427706116744 6080335664829405 6263846801594880 6485691375818032 6596613662929608 6785834035061120 6948955045519320 7125125736814176 7146331468173742 7307821268527360 7412218715220608 7528034632645930 7696049273417876 8107114219772540 8143000842073344 8245767078662010 8769385522232832 8795484883906144 8906407171017720 9033641559175116 9265273394025760 9500167649085568 9620061591772345 9728537063727048 10178751052591680 10539248485704302 10719497202260613 10961731902791040 10994356104882680 11118328072830912 11292051948968895 11544073910126814 11875209561356960 12044855412233488 12160671329658810 12971382751636064 13193227325859216 13571668070122240 13897910091038640 14250251473628352 14292662936347484 14615642537054720 14824437430441216 15056069265291860 15392098546835752 15808872728556453 16214228439545080 16286001684146688 16491534157324020 17590969767812288 17812814342035440 17865828670434355 18067283118350232 18530546788051520 19000335298171136 19240123183544690 19457074127454096 19514982086166757 20357502105183360 21078496971408604 21438994404521226 21923463805582080 21988712209765360 22236656145661824 22584103897937790 23088147820253628 23750419122713920 24089710824466976 24321342659317620 25012160138608097 25942765503272128 26348121214260755 26386454651718432 27143336140244480 27795820182077280 28500502947256704 28585325872694968 28860184775317035 29648874860882432 30112138530583720 30784197093671504 31617745457112906 32428456879090160 32983068314648040 35181939535624576 35625628684070880 35731657340868710 36134566236700464 37061093576103040 38000670596342272 38480246367089380 38914148254908192 39029964172333514 40715004210366720 42156993942817208 42877988809042452 43846927611164160 43977424419530720 44473312291323648 45168207795875580 46176295640507256 47500838245427840 48179421648933952 48642685318635240 50024320277216194 51885531006544256 52696242428521510 52772909303436864 53597486011303065 55591640364154560 57001005894513408 57170651745389936 57720369550634070 58544946258500271 60224277061167440 61568394187343008 63235490914225812 64856913758180320 65966136629296080 70363879071249152 71251257368141760 71463314681737420 72269132473400928 74122187152206080 75036480415824291 76960492734178760 77828296509816384 78059928344667028 79044363642782265 81430008420733440 84313987885634416 85755977618084904 87954848839061440 88946624582647296 90336415591751160 92352591281014512 95001676490855680 96358843297867904 97285370637270480 97574910430833785 100048640554432388 103771062013088512 105392484857043020 105545818606873728 107194972022606130 111183280728309120 114002011789026816 114341303490779872 115440739101268140 117089892517000542 120448554122334880 123136788374686016 125060800693040485 126470981828451624 129713827516360640 131932273258592160 136604874603167299 140727758142498304 142502514736283520 142926629363474840 144538264946801856 148244374304412160 150072960831648582 153920985468357520 155656593019632768 156119856689334056 158088727285564530 168627975771268832 171511955236169808 175909697678122880 180672831183502320 184705182562029024 190003352981711360 192717686595735808 194570741274540960 195149820861667570 200097281108864776 207542124026177024 210784969714086040 211091637213747456 214389944045212260 222366561456618240 228682606981559744 230881478202536280 234179785034001084 240897108244669760 246273576749372032 250121601386080970 252941963656903248 253694767120167841 259427655032721280 263864546517184320 273209749206334598 285005029472567040 285853258726949680 289076529893603712 292724731292501355 300145921663297164 307841970936715040 311313186039265536 312239713378668112 316177454571129060 337255951542537664 343023910472339616 351819395356245760 361345662367004640 369410365124058048 375182402079121455 385435373191471616 389141482549081920 390299641723335140 400194562217729552 409814623809501897 421569939428172080 422183274427494912 428779888090424520 444733122913236480 457365213963119488 461762956405072560 468359570068002168 481794216489339520 492547153498744064 500243202772161940 505883927313806496 507389534240335682 518855310065442560 527729093034368640 546419498412669196 570010058945134080 571706517453899360 578153059787207424 585449462585002710 600291843326594328 615683941873430080 622626372078531072 624479426757336224 632354909142258120 674511903085075328 683024373015836495 686047820944679232 703638790712491520 722691324734009280 738820730248116096 750364804158242910 761084301360503523 778282965098163840 780599283446670280 800389124435459104 819629247619003794 843139878856344160 857559776180849040 914730427926238976 923525912810145120 936719140136004336 963588432978679040 985094306997488128 1000486405544323880 1011767854627612992 1014779068480671364 1037710620130885120 1055458186068737280 1092838996825338392 1143413034907798720 1156306119574414848 1170898925170005420 1200583686653188656 1231367883746860160 1248958853514672448 1264709818284516240 1268473835600839205 1349023806170150656 1366048746031672990 1372095641889358464 1445382649468018560 1477641460496232192 1500729608316485820 1522168602721007046 1556565930196327680 1561198566893340560 1600778248870918208 1639258495238007588 1686279757712688320 1715119552361698080 1775863369841174887 1829460855852477952 1847051825620290240 1873438280272008672 1927176865957358080 2000972811088647760 2023535709255225984 2029558136961342728 2049073119047509485 2110916372137474560 2185677993650676784 2286826069815597440 2341797850340010840 2401167373306377312 2462735767493720320 2497917707029344896 2529419636569032480 2536947671201678410 2698047612340301312 2732097492063345980 2744191283778716928 2890765298936037120 2955282920992464384 3001459216632971640 3044337205442014092 3113131860392655360 3122397133786681120 3201556497741836416 3278516990476015176 3372559515425376640 3430239104723396160 3551726739682349774 3694103651240580480 3746876560544017344 3805421506802517615 4001945622177295520 4047071418510451968 4059116273922685456 4098146238095018970 4371355987301353568 4573652139631194880 4683595700680021680 4802334746612754624 4925471534987440640 4995835414058689792 5058839273138064960 5073895342403356820 5327590109523524661 5464194984126691960 5488382567557433856 5781530597872074240 6002918433265943280 6088674410884028184 6244794267573362240 6403112995483672832 6557033980952030352 6745119030850753280 6860478209446792320 7103453479364699548 7388207302481160960 7493753121088034688 7610843013605035230 8003891244354591040 8094142837020903936 8118232547845370912 8196292476190037940 8742711974602707136 8879316849205874435 9147304279262389760 9367191401360043360 9604669493225509248 9991670828117379584 10117678546276129920 10147790684806713640 10655180219047049322 10928389968253383920 12005836866531886560 12177348821768056368 12489588535146724480 12806225990967345664 13114067961904060704 13490238061701506560 13720956418893584640 14206906958729399096 14776414604962321920 14987506242176069376 15221686027210070460 16007782488709182080 16236465095690741824 16392584952380075880 17485423949205414272 17758633698411748870 18734382802720086720 19209338986451018496 20235357092552259840 20295581369613427280 21310360438094098644 21856779936506767840 24011673733063773120 24354697643536112736 24979177070293448960 26228135923808121408 26637950547617623305 27441912837787169280 28413813917458798192 29975012484352138752 30443372054420140920 32015564977418364160 32472930191381483648 32785169904760151760 34970847898410828544 35517267396823497740 37468765605440173440 38418677972902036992 40470714185104519680 40591162739226854560 42620720876188197288 43713559873013535680 48023347466127546240 48709395287072225472 49958354140586897920 52456271847616242816 53275901095235246610 56827627834917596384 60886744108840281840 64031129954836728320 64945860382762967296 65570339809520303520 69941695796821657088 71034534793646995480 74937531210880346880 81182325478453709120 85241441752376394576 87427119746027071360 96046694932255092480 97418790574144450944 104912543695232485632 106551802190470493220 113655255669835192768 121773488217680563680 129891720765525934592 131140679619040607040 142069069587293990960 149875062421760693760 162364650956907418240 170482883504752789152 174854239492054142720 192093389864510184960 194837581148288901888 209825087390464971264 213103604380940986440 227310511339670385536 243546976435361127360 262281359238081214080 284138139174587981920 324729301913814836480 340965767009505578304 349708478984108285440 389675162296577803776 426207208761881972880 454621022679340771072 487093952870722254720 524562718476162428160 568276278349175963840 649458603827629672960 681931534019011156608 852414417523763945760 909242045358681542144 974187905741444509440 1049125436952324856320 1136552556698351927680 1363863068038022313216 1704828835047527891520 1948375811482889018880 2273105113396703855360 2727726136076044626432 3409657670095055783040 4546210226793407710720 6819315340190111566080 13638630680380223132160
- Sum of all divisors σ(n): 54580059172228554252288
- Sum of proper divisors (its aliquot sum) s(n): 40941428491848331120128
- 13638630680380223132160 is an abundant number, because the sum of its proper divisors (40941428491848331120128) is greater than itself. Its abundance is 27302797811468107987968
Bases of 13638630680380223132160
- Binary: 101110001101011010000001011100011100111110010101110101101000010010000000002
- Hexadecimal: 0x2E35A05C73E575A1200
- Base-36: 27YBX6UYSO1NMDC
Squares and roots of 13638630680380223132160
- 13638630680380223132160 squared (136386306803802231321602) is 186012246835808708151190710967829560826265600
- 13638630680380223132160 cubed (136386306803802231321603) is 2536952336621319728714025945396701796253717582603007944028061696000
-
The
square root of 13638630680380223132160 is 116784548123.3721395959 -
The
cube root of 13638630680380223132160 is 23892242.9967841249
Scales and comparisons
How big is 13638630680380223132160?- 13,638,630,680,380,223,132,160 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,638,630,680,380,223,132,160 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 13638630680380223132160 cubic inches would be around 1991020.2 feet tall.
Recreational maths with 13638630680380223132160
- 13638630680380223132160 backwards is 06123132208308603683631
- The number of decimal digits it has is: 23
- The sum of 13638630680380223132160's digits is 75
- More coming soon!
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"Number 13638630680380223132160 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 13638630680380223132160 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/13638630680380223132160/
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Numbermatics. 2024. "Number 13638630680380223132160 - Facts about the integer". https://numbermatics.com/n/13638630680380223132160/
The information we have on file for 13638630680380223132160 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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