13937268106166400
13,937,268,106,166,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13937268106166400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
13937268106166400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13937268106166400:
27 × 33 × 52 × 1012 × 2513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 101 × 101 × 251 × 251 × 251)See below for interesting mathematical facts about the number 13937268106166400 from the Numbermatics database.
Names of 13937268106166400
- Cardinal: 13937268106166400 can be written as Thirteen quadrillion, nine hundred thirty-seven trillion, two hundred sixty-eight billion, one hundred six million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39372681061664 × 1016
Factors of 13937268106166400
Divisors of 13937268106166400
- Number of divisors d(n): 1152
-
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 90 96 100 101 108 120 128 135 144 150 160 180 192 200 202 216 225 240 251 270 288 300 303 320 360 384 400 404 432 450 480 502 505 540 576 600 606 640 675 720 753 800 808 864 900 909 960 1004 1010 1080 1152 1200 1212 1255 1350 1440 1506 1515 1600 1616 1728 1800 1818 1920 2008 2020 2160 2259 2400 2424 2510 2525 2700 2727 2880 3012 3030 3200 3232 3456 3600 3636 3765 4016 4040 4320 4518 4545 4800 4848 5020 5050 5400 5454 5760 6024 6060 6275 6464 6777 7200 7272 7530 7575 8032 8080 8640 9036 9090 9600 9696 10040 10100 10201 10800 10908 11295 12048 12120 12550 12928 13554 13635 14400 14544 15060 15150 16064 16160 17280 18072 18180 18825 19392 20080 20200 20402 21600 21816 22590 22725 24096 24240 25100 25351 27108 27270 28800 29088 30120 30300 30603 32128 32320 33885 36144 36360 37650 38784 40160 40400 40804 43200 43632 45180 45450 48192 48480 50200 50702 51005 54216 54540 56475 58176 60240 60600 61206 63001 64640 67770 68175 72288 72720 75300 76053 80320 80800 81608 86400 87264 90360 90900 91809 96384 96960 100400 101404 102010 108432 109080 112950 116352 120480 121200 122412 126002 126755 135540 136350 144576 145440 150600 152106 153015 160640 161600 163216 169425 174528 180720 181800 183618 189003 193920 200800 202808 204020 216864 218160 225900 228159 240960 242400 244824 252004 253510 255025 271080 272700 275427 289152 290880 301200 304212 306030 315005 323200 326432 338850 349056 361440 363600 367236 378006 380265 401600 405616 408040 433728 436320 451800 456318 459045 481920 484800 489648 504008 507020 510050 542160 545400 550854 567009 581760 602400 608424 612060 630010 633775 652864 677700 684477 722880 727200 734472 756012 760530 765075 803200 811232 816080 867456 872640 903600 912636 918090 945015 969600 979296 1008016 1014040 1020100 1084320 1090800 1101708 1134018 1140795 1204800 1216848 1224120 1260020 1267550 1305728 1355400 1368954 1377135 1445760 1454400 1468944 1512024 1521060 1530150 1575025 1622464 1632160 1701027 1745280 1807200 1825272 1836180 1890030 1901325 1958592 2016032 2028080 2040200 2168640 2181600 2203416 2268036 2281590 2295225 2409600 2433696 2448240 2520040 2535100 2560451 2710800 2737908 2754270 2835045 2908800 2937888 3024048 3042120 3060300 3150050 3244928 3264320 3402054 3422385 3614400 3650544 3672360 3780060 3802650 3917184 4032064 4056160 4080400 4337280 4363200 4406832 4536072 4563180 4590450 4725075 4867392 4896480 5040080 5070200 5120902 5421600 5475816 5508540 5670090 5703975 5875776 6048096 6084240 6120600 6300100 6363101 6528640 6804108 6844770 6885675 7228800 7301088 7344720 7560120 7605300 7681353 8064128 8112320 8160800 8505135 8726400 8813664 9072144 9126360 9180900 9450150 9734784 9792960 10080160 10140400 10241804 10843200 10951632 11017080 11340180 11407950 11751552 12096192 12168480 12241200 12600200 12726202 12802255 13608216 13689540 13771350 14175225 14602176 14689440 15120240 15210600 15362706 15813251 16224640 16321600 17010270 17111925 17627328 18144288 18252720 18361800 18900300 19089303 19585920 20160320 20280800 20483608 21686400 21903264 22034160 22680360 22815900 23044059 24192384 24336960 24482400 25200400 25452404 25604510 27216432 27379080 27542700 28350450 29204352 29378880 30240480 30421200 30725412 31626502 31815505 32643200 34020540 34223850 35254656 36288576 36505440 36723600 37800600 38178606 38406765 40320640 40561600 40967216 42525675 43806528 44068320 45360720 45631800 46088118 47439753 48673920 48964800 50400800 50904808 51209020 54432864 54758160 55085400 56700900 57267909 58757760 60480960 60842400 61450824 63253004 63631010 64011275 68041080 68447700 69132177 72577152 73010880 73447200 75601200 76357212 76813530 79066255 81123200 81934432 85051350 87613056 88136640 90721440 91263600 92176236 94879506 95446515 97929600 100801600 101809616 102418040 108865728 109516320 110170800 113401800 114535818 115220295 120961920 121684800 122901648 126506008 127262020 128022550 136082160 136895400 138264354 142319259 146021760 146894400 151202400 152714424 153627060 158132510 159077525 163868864 170102700 171803727 176273280 181442880 182527200 184352472 189759012 190893030 192033825 201603200 203619232 204836080 217731456 219032640 220341600 226803600 229071636 230440590 237198765 243369600 245803296 253012016 254524040 256045100 272164320 273790800 276528708 284638518 286339545 293788800 302404800 305428848 307254120 316265020 318155050 327737728 340205400 343607454 345660885 362885760 365054400 368704944 379518024 381786060 384067650 395331275 407238464 409672160 426957777 438065280 440683200 453607200 458143272 460881180 474397530 477232575 491606592 506024032 509048080 512090200 544328640 547581600 553057416 569277036 572679090 576101475 604809600 610857696 614508240 632530040 636310100 642673201 680410800 687214908 691321770 711596295 730108800 737409888 759036048 763572120 768135300 790662550 814476928 819344320 853915554 859018635 881366400 907214400 916286544 921762360 948795060 954465150 983213184 1012048064 1018096160 1024180400 1088657280 1095163200 1106114832 1138554072 1145358180 1152202950 1185993825 1221715392 1229016480 1265060080 1272620200 1285346402 1360821600 1374429816 1382643540 1423192590 1431697725 1474819776 1518072096 1527144240 1536270600 1581325100 1597138351 1638688640 1707831108 1718037270 1728304425 1814428800 1832573088 1843524720 1897590120 1908930300 1928019603 2024096128 2036192320 2048360800 2134788885 2190326400 2212229664 2277108144 2290716360 2304405900 2371987650 2443430784 2458032960 2530120160 2545240400 2570692804 2721643200 2748859632 2765287080 2846385180 2863395450 2949639552 3036144192 3054288480 3072541200 3162650200 3194276702 3213366005 3415662216 3436074540 3456608850 3557981475 3665146176 3687049440 3795180240 3817860600 3856039206 4072384640 4096721600 4269577770 4295093175 4424459328 4554216288 4581432720 4608811800 4743975300 4791415053 4916065920 5060240320 5090480800 5141385608 5443286400 5497719264 5530574160 5692770360 5726790900 5784058809 6072288384 6108576960 6145082400 6325300400 6388553404 6426732010 6831324432 6872149080 6913217700 7115962950 7330292352 7374098880 7590360480 7635721200 7712078412 7985691755 8193443200 8539155540 8590186350 8848918656 9108432576 9162865440 9217623600 9487950600 9582830106 9640098015 10120480640 10180961600 10282771216 10673944425 10995438528 11061148320 11385540720 11453581800 11568117618 12217153920 12290164800 12650600800 12777106808 12853464020 13662648864 13744298160 13826435400 14231925900 14374245159 14748197760 15180720960 15271442400 15424156824 15971383510 16066830025 17078311080 17180372700 17352176427 18216865152 18325730880 18435247200 18975901200 19165660212 19280196030 20361923200 20565542432 21347888850 21990877056 22122296640 22771081440 22907163600 23136235236 23957075265 24580329600 25301201600 25554213616 25706928040 27325297728 27488596320 27652870800 28463851800 28748490318 28920294045 30361441920 30542884800 30848313648 31942767020 32133660050 34156622160 34360745400 34704352854 36651461760 36870494400 37951802400 38331320424 38560392060 39928458775 41131084864 42695777700 43122735477 44244593280 45542162880 45814327200 46272470472 47914150530 48200490075 50602403200 51108427232 51413856080 54650595456 54977192640 55305741600 56927703600 57496980636 57840588090 61085769600 61696627296 63885534040 64267320100 68313244320 68721490800 69408705708 71871225795 73740988800 75903604800 76662640848 77120784120 79856917550 82262169728 85391555400 86245470954 86760882135 91084325760 91628654400 92544940944 95828301060 96400980150 102216854464 102827712160 109954385280 110611483200 113855407200 114993961272 115681176180 119785376325 123393254592 127771068080 128534640200 136626488640 137442981600 138817411416 143742451590 144601470225 151807209600 153325281696 154241568240 159713835100 161310973451 170783110800 172490941908 173521764270 183257308800 185089881888 191656602120 192801960300 204433708928 205655424320 215613677385 221222966400 227710814400 229987922544 231362352360 239570752650 246786509184 255542136160 257069280400 273252977280 274885963200 277634822832 287484903180 289202940450 306650563392 308483136480 319427670200 322621946902 341566221600 344981883816 347043528540 359356128975 370179763776 383313204240 385603920600 411310848640 431227354770 433804410675 455421628800 459975845088 462724704720 479141505300 483932920353 511084272320 514138560800 549771926400 555269645664 574969806360 578405880900 613301126784 616966272960 638855340400 645243893804 683132443200 689963767632 694087057080 718712257950 740359527552 766626408480 771207841200 806554867255 862454709540 867608821350 919951690176 925449409440 958283010600 967865840706 1022168544640 1028277121600 1078068386925 1110539291328 1149939612720 1156811761800 1233932545920 1277710680800 1290487787608 1366264886400 1379927535264 1388174114160 1437424515900 1451798761059 1533252816960 1542415682400 1613109734510 1724909419080 1735217642700 1839903380352 1850898818880 1916566021200 1935731681412 2056554243200 2156136773850 2221078582656 2299879225440 2313623523600 2419664601765 2555421361600 2580975575216 2759855070528 2776348228320 2874849031800 2903597522118 3066505633920 3084831364800 3226219469020 3449818838160 3470435285400 3701797637760 3833132042400 3871463362824 4032774336275 4312273547700 4355396283177 4599758450880 4627247047200 4839329203530 5110842723200 5161951150432 5519710141056 5552696456640 5749698063600 5807195044236 6169662729600 6452438938040 6899637676320 6940870570800 7258993805295 7666264084800 7742926725648 8065548672550 8624547095400 8710792566354 9199516901760 9254494094400 9678658407060 10323902300864 11105392913280 11499396127200 11614390088472 12098323008825 12904877876080 13799275352640 13881741141600 14517987610590 15332528169600 15485853451296 16131097345100 17249094190800 17421585132708 18508988188800 19357316814120 20647804601728 21776981415885 22998792254400 23228780176944 24196646017650 25809755752160 27598550705280 27763482283200 29035975221180 30971706902592 32262194690200 34498188381600 34843170265416 36294969026475 38714633628240 43553962831770 45997584508800 46457560353888 48393292035300 51619511504320 55526964566400 58071950442360 61943413805184 64524389380400 68996376763200 69686340530832 72589938052950 77429267256480 87107925663540 92915120707776 96786584070600 103239023008640 108884907079425 116143900884720 129048778760800 137992753526400 139372681061664 145179876105900 154858534512960 174215851327080 185830241415552 193573168141200 217769814158850 232287801769440 258097557521600 278745362123328 290359752211800 309717069025920 348431702654160 387146336282400 435539628317700 464575603538880 516195115043200 557490724246656 580719504423600 696863405308320 774292672564800 871079256635400 929151207077760 1161439008847200 1393726810616640 1548585345129600 1742158513270800 2322878017694400 2787453621233280 3484317026541600 4645756035388800 6968634053083200 13937268106166400
- Sum of all divisors σ(n): 51722611269134400
- Sum of proper divisors (its aliquot sum) s(n): 37785343162968000
- 13937268106166400 is an abundant number, because the sum of its proper divisors (37785343162968000) is greater than itself. Its abundance is 23848075056801600
Bases of 13937268106166400
- Binary: 1100011000001111011111000110101001101110000000100000002
- Hexadecimal: 0x3183DF1A9B8080
- Base-36: 3T8CKKST9C0
Squares and roots of 13937268106166400
- 13937268106166400 squared (139372681061664002) is 194247442263163150061704488960000
- 13937268106166400 cubed (139372681061664003) is 2707278681758783004422076254149504736722944000000
-
The
square root of 13937268106166400 is 118056207.4020947023 -
The
cube root of 13937268106166400 is 240653.7045686437
Scales and comparisons
How big is 13937268106166400?- 13,937,268,106,166,400 seconds is equal to 443,162,014 years, 50 weeks, 5 days.
-
To count from 1 to 13,937,268,106,166,400 would take you about one billion, three hundred twenty-nine million, four hundred eighty-six thousand and forty-four 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 13937268106166400 cubic inches would be around 20054.5 feet tall.
Recreational maths with 13937268106166400
- 13937268106166400 backwards is 00466160186273931
- The number of decimal digits it has is: 17
- The sum of 13937268106166400's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13937268106166400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 13937268106166400 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/13937268106166400/
Chicago style:
Numbermatics. 2024. "Number 13937268106166400 - Facts about the integer". https://numbermatics.com/n/13937268106166400/
The information we have on file for 13937268106166400 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!
Keywords: Divisors of 13937268106166400, math, Factors of 13937268106166400, curriculum, school, college, exams, university, Prime factorization of 13937268106166400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred thirty-seven trillion, two hundred sixty-eight billion, one hundred six million, one hundred sixty-six thousand, four hundred.