13827248502951936
13,827,248,502,951,936 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13827248502951936 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
13827248502951936 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13827248502951936:
212 × 3 × 13 × 292 × 71 × 181 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 29 × 29 × 71 × 181 × 8009)See below for interesting mathematical facts about the number 13827248502951936 from the Numbermatics database.
Names of 13827248502951936
- Cardinal: 13827248502951936 can be written as Thirteen quadrillion, eight hundred twenty-seven trillion, two hundred forty-eight billion, five hundred two million, nine hundred fifty-one thousand, nine hundred thirty-six.
Scientific notation
- Scientific notation: 1.3827248502951936 × 1016
Factors of 13827248502951936
Divisors of 13827248502951936
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 71 78 87 96 104 116 128 142 156 174 181 192 208 213 232 256 284 312 348 362 377 384 416 426 464 512 543 568 624 696 724 754 768 832 841 852 923 928 1024 1086 1131 1136 1248 1392 1448 1508 1536 1664 1682 1704 1846 1856 2048 2059 2172 2262 2272 2353 2496 2523 2769 2784 2896 3016 3072 3328 3364 3408 3692 3712 4096 4118 4344 4524 4544 4706 4992 5046 5249 5538 5568 5792 6032 6144 6177 6656 6728 6816 7059 7384 7424 8009 8236 8688 9048 9088 9412 9984 10092 10498 10933 11076 11136 11584 12064 12288 12354 12851 13312 13456 13632 14118 14768 14848 15747 16018 16472 17376 18096 18176 18824 19968 20184 20996 21866 22152 22272 23168 24027 24128 24708 25702 26624 26767 26912 27264 28236 29536 29696 31494 32036 32799 32944 34752 36192 36352 37648 38553 39936 40368 41992 43732 44304 44544 46336 48054 48256 49416 51404 53248 53534 53824 54528 56472 59072 59392 59711 62988 64072 65598 65888 68237 69504 72384 72704 75296 77106 79872 80301 80736 83984 87464 88608 89088 92672 96108 96512 98832 102808 104117 107068 107648 109056 112944 118144 118784 119422 125976 128144 131196 131776 136474 139008 144768 145408 150592 152221 154212 159744 160602 161472 167063 167968 174928 177216 178176 179133 185344 192216 193024 197664 204711 205616 208234 214136 215296 218112 225888 232261 236288 238844 251952 256288 262392 263552 272948 278016 289536 290816 301184 304442 308424 312351 321204 322944 334126 335936 349856 354432 356352 358266 370688 372679 384432 386048 395328 409422 411232 416468 428272 430592 436224 451776 456663 464522 472576 477688 501189 503904 512576 524784 527104 545896 556032 568639 579072 602368 608884 616848 624702 642408 645888 668252 671872 696783 699712 708864 716532 741376 745358 768864 772096 776243 790656 818844 822464 832936 856544 861184 872448 903552 913326 929044 945152 955376 1002378 1007808 1025152 1049568 1054208 1091792 1112064 1118037 1137278 1158144 1204736 1217768 1233696 1249404 1284816 1291776 1336504 1343744 1393566 1399424 1417728 1433064 1449629 1490716 1537728 1544192 1552486 1581312 1637688 1644928 1665872 1705917 1713088 1722368 1807104 1826652 1858088 1890304 1910752 1978873 2004756 2015616 2050304 2099136 2108416 2183584 2224128 2236074 2274556 2316288 2328729 2409472 2435536 2467392 2498808 2569632 2583552 2673008 2687488 2787132 2798848 2835456 2866128 2899258 2981432 3019393 3075456 3104972 3162624 3275376 3289856 3331744 3411834 3426176 3444736 3614208 3653304 3716176 3780608 3821504 3957746 4009512 4031232 4100608 4198272 4216832 4348887 4367168 4472148 4549112 4632576 4657458 4818944 4844827 4871072 4934784 4997616 5139264 5167104 5346016 5374976 5574264 5597696 5670912 5732256 5798516 5936619 5962864 6038786 6150912 6209944 6325248 6550752 6579712 6663488 6735569 6823668 6852352 7228416 7306608 7392307 7432352 7643008 7915492 8019024 8062464 8201216 8396544 8433664 8697774 8734336 8944296 9058179 9098224 9314916 9637888 9689654 9742144 9869568 9995232 10278528 10334208 10692032 10749952 10807691 11148528 11195392 11341824 11464512 11597032 11873238 11925728 12077572 12301824 12419888 12650496 13101504 13159424 13326976 13471138 13647336 13704704 14456832 14534481 14613216 14784614 14864704 15286016 15830984 16038048 16124928 16402432 16490531 16793088 17395548 17468672 17888592 18116358 18196448 18629832 18845177 19379308 19484288 19739136 19990464 20206707 20557056 21384064 21499904 21615382 22176921 22297056 22390784 22929024 23194064 23746476 23851456 24155144 24603648 24839776 25300992 26203008 26318848 26653952 26942276 27294672 27409408 28913664 29068962 29226432 29569228 29729408 30572032 31661968 32076096 32249856 32423073 32804864 32981062 33586176 34791096 34937344 35777184 36232716 36392896 37259664 37690354 38758616 38968576 39478272 39980928 40413414 41114112 42039241 42768128 43230764 44353842 44594112 44781568 45858048 46388128 47492952 47702912 48310288 49207296 49471593 49679552 52406016 52637696 53307904 53884552 54589344 54818816 56535531 58137924 58452864 59138456 59458816 61144064 63323936 64152192 64499712 64846146 65962124 67172352 69582192 69874688 71554368 72465432 72785792 74519328 75380708 77517232 77937152 78956544 79961856 80826828 82228224 84078482 85536256 86461528 87562397 88707684 89188224 91716096 92776256 94985904 95405824 96620576 98414592 98943186 99359104 102923659 104812032 106615808 107769104 109178688 109637632 113071062 116275848 116905728 118276912 118917632 122288128 126117723 126647872 128304384 129692292 131924248 134344704 139164384 139749376 140499983 143108736 144930864 145571584 149038656 150761416 155034464 155874304 157913088 159923712 161653656 164456448 168156964 171072512 172923056 175124794 177415368 178376448 183432192 185552512 189971808 190811648 193241152 197886372 198718208 205847318 209624064 213231616 214376903 215538208 218357376 226142124 232551696 233811456 236553824 237835264 244576256 252235446 253295744 256608768 259384584 262687191 263848496 278328768 279498752 280999966 286217472 289861728 291143168 298077312 301522832 308770977 310068928 311748608 319847424 323307312 328912896 336313928 342145024 345846112 350249588 354830736 356752896 366864384 371105024 379943616 381623296 386482304 395772744 397436416 411694636 419248128 421499949 426463232 428753806 431076416 436714752 452284248 465103392 467622912 473107648 475670528 478225399 504470892 506591488 513217536 518769168 525374382 527696992 546510133 556657536 561999932 572434944 579723456 582286336 596154624 603045664 617541954 620137856 623497216 639694848 643130709 646614624 672627856 684290048 691692224 700499176 709661472 713505792 733728768 742210048 759887232 763246592 772964608 791545488 794872832 823389272 838496256 842999898 857507612 862152832 873429504 904568496 930206784 935245824 946215296 951341056 956450798 1008941784 1013182976 1026435072 1037538336 1050748764 1055393984 1093020266 1113315072 1123999864 1144869888 1159446912 1164572672 1192309248 1206091328 1219137989 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5381022848 5533537792 5603993408 5677291776 5738704788 5937680384 5969572222 6079097856 6183716864 6216930187 6332363904 6558121596 6587114176 6743999184 6860060896 6897222656 6987436032 7236547968 7314827934 7441654272 7569722368 7651606384 8028045402 8071534272 8105463808 8300306688 8405990112 8443151872 8744162128 8906520576 8954358333 8991998912 9275575296 9538473984 9648730624 9753103912 9880671264 9922205696 10290091344 10345833984 10704060536 10762045696 11067075584 11207986816 11354583552 11477409576 11939144444 12158195712 12367433728 12433860374 12664727808 13116243192 13174228352 13487998368 13720121792 13794445312 14473095936 14629655868 14883308544 15139444736 15303212768 15848793857 16056090804 16143068544 16600613376 16811980224 16886303744 17488324256 17813041152 17908716666 17983997824 18551150592 18650790561 19297461248 19506207824 19761342528 19844411392 20580182688 20691667968 21408121072 21524091392 22134151168 22415973632 22709167104 22954819152 23878288888 24316391424 24867720748 25329455616 26232486384 26348456704 26975996736 27440243584 27588890624 28946191872 29259311736 29766617088 30278889472 30606425536 31697587714 32112181608 32286137088 33201226752 33623960448 33772607488 34976648512 35817433332 35967995648 37102301184 37301581122 38594922496 38802219443 39012415648 39522685056 41160365376 41383335936 42816242144 43048182784 44268302336 44831947264 45418334208 45909638304 47546381571 47756577776 49735441496 50658911232 52464972768 52696913408 53951993472 54880487168 57892383744 58518623472 59533234176 61212851072 63395175428 64224363216 64572274176 66402453504 67247920896 67545214976 69953297024 71634866664 71935991296 74603162244 77189844992 77604438886 78024831296 79045370112 82320730752 82766671872 85632484288 86096365568 86558797219 89663894528 90836668416 91819276608 95092763142 95513155552 99470882992 101317822464 104929945536 105393826816 107903986944 109760974336 115784767488 116406658329 117037246944 122425702144 126790350856 128448726432 129144548352 132804907008 134495841792 139906594048 143269733328 143871982592 149206324488 155208877772 156049662592 158090740224 164641461504 171264968576 172192731136 173117594438 179327789056 183638553216 190185526284 191026311104 198941765984 202635644928 209859891072 210787653632 215807973888 219521948672 231569534976 232813316658 234074493888 244851404288 253580701712 256897452864 258289096704 259676391657 268991683584 279813188096 286539466656 287743965184 298412648976 310417755544 312099325184 316181480448 329282923008 342529937152 346235188876 358655578112 367277106432 380371052568 382052622208 397883531968 419719782144 421575307264 431615947776 439043897344 465626633316 468148987776 489702808576 507161403424 513794905728 516578193408 519352783314 537983367168 559626376192 573078933312 575487930368 596825297952 620835511088 624198650368 632362960896 658565846016 685059874304 692470377752 734554212864 760742105136 764105244416 795767063936 839439564288 863231895552 878087794688 931253266632 936297975552 979405617152 1014322806848 1027589811456 1038705566628 1075966734336 1119252752384 1125264363847 1146157866624 1193650595904 1241671022176 1248397300736 1264725921792 1317131692032 1370119748608 1384940755504 1469108425728 1521484210272 1528210488832 1591534127872 1678879128576 1726463791104 1862506533264 1872595951104 1958811234304 2028645613696 2055179622912 2077411133256 2238505504768 2250528727694 2292315733248 2387301191808 2483342044352 2496794601472 2634263384064 2740239497216 2769881511008 2938216851456 3042968420544 3056420977664 3183068255744 3357758257152 3375793091541 3725013066528 3745191902208 4057291227392 4110359245824 4154822266512 4501057455388 4584631466496 4774602383616 4966684088704 4993589202944 5480478994432 5539763022016 5876433702912 6085936841088 6112841955328 6366136511488 6715516514304 6751586183082 7450026133056 7490383804416 8114582454784 8220718491648 8309644533024 9002114910776 9169262932992 9549204767232 9933368177408 11079526044032 12171873682176 12225683910656 12732273022976 13503172366164 14900052266112 14980767608832 16229164909568 16441436983296 16619289066048 18004229821552 18338525865984 19098409534464 19866736354816 22159052088064 24343747364352 25464546045952 27006344732328 29800104532224 32458329819136 33238578132096 36008459643104 36677051731968 38196819068928 39733472709632 44318104176128 48687494728704 54012689464656 59600209064448 64916659638272 66477156264192 72016919286208 76393638137856 79466945419264 88636208352256 97374989457408 108025378929312 119200418128896 132954312528384 144033838572416 158933890838528 177272416704512 194749978914816 216050757858624 238400836257792 265908625056768 288067677144832 354544833409024 432101515717248 476801672515584 531817250113536 576135354289664 864203031434496 1063634500227072 1152270708579328 1728406062868992 2304541417158656 3456812125737984 4609082834317312 6913624251475968 13827248502951936
- Sum of all divisors σ(n): 41935276264976640
- Sum of proper divisors (its aliquot sum) s(n): 28108027762024704
- 13827248502951936 is an abundant number, because the sum of its proper divisors (28108027762024704) is greater than itself. Its abundance is 14280779259072768
Bases of 13827248502951936
- Binary: 1100010001111111001111001010110011110101010000000000002
- Hexadecimal: 0x311FCF2B3D5000
- Base-36: 3S5CM9POIDC
Squares and roots of 13827248502951936
- 13827248502951936 squared (138272485029519362) is 191192801162386555264905926148096
- 13827248502951936 cubed (138272485029519363) is 2643670373647796665398928288374836533865905913856
-
The
square root of 13827248502951936 is 117589321.3814585121 -
The
cube root of 13827248502951936 is 240018.7977345475
Scales and comparisons
How big is 13827248502951936?- 13,827,248,502,951,936 seconds is equal to 439,663,731 years, 47 weeks, 19 hours, 5 minutes, 36 seconds.
-
To count from 1 to 13,827,248,502,951,936 would take you about one billion, three hundred eighteen million, nine hundred ninety-one thousand, one hundred ninety-five 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 13827248502951936 cubic inches would be around 20001.6 feet tall.
Recreational maths with 13827248502951936
- 13827248502951936 backwards is 63915920584272831
- The number of decimal digits it has is: 17
- The sum of 13827248502951936's digits is 75
- More coming soon!
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"Number 13827248502951936 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 13827248502951936 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/13827248502951936/
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The information we have on file for 13827248502951936 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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