13948128683704320
13,948,128,683,704,320 is an even composite number composed of seven prime numbers multiplied together.
13948128683704320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13948128683704320:
214 × 3 × 5 × 7 × 172 × 1613 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 17 × 1613 × 17393)See below for interesting mathematical facts about the number 13948128683704320 from the Numbermatics database.
Names of 13948128683704320
- Cardinal: 13948128683704320 can be written as Thirteen quadrillion, nine hundred forty-eight trillion, one hundred twenty-eight billion, six hundred eighty-three million, seven hundred four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.394812868370432 × 1016
Factors of 13948128683704320
Divisors of 13948128683704320
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 256 272 280 289 320 336 340 357 384 408 420 448 476 480 510 512 544 560 578 595 640 672 680 714 768 816 840 867 896 952 960 1020 1024 1088 1120 1156 1190 1280 1344 1360 1428 1445 1536 1613 1632 1680 1734 1785 1792 1904 1920 2023 2040 2048 2176 2240 2312 2380 2560 2688 2720 2856 2890 3072 3226 3264 3360 3468 3570 3584 3808 3840 4046 4080 4096 4335 4352 4480 4624 4760 4839 5120 5376 5440 5712 5780 6069 6144 6452 6528 6720 6936 7140 7168 7616 7680 8065 8092 8160 8192 8670 8704 8960 9248 9520 9678 10115 10240 10752 10880 11291 11424 11560 12138 12288 12904 13056 13440 13872 14280 14336 15232 15360 16130 16184 16320 16384 17340 17393 17408 17920 18496 19040 19356 20230 20480 21504 21760 22582 22848 23120 24195 24276 24576 25808 26112 26880 27421 27744 28560 28672 30345 30464 30720 32260 32368 32640 33873 34680 34786 34816 35840 36992 38080 38712 40460 40960 43008 43520 45164 45696 46240 48390 48552 49152 51616 52179 52224 53760 54842 55488 56455 57120 57344 60690 60928 61440 64520 64736 65280 67746 69360 69572 69632 71680 73984 76160 77424 80920 81920 82263 86016 86965 87040 90328 91392 92480 96780 97104 103232 104358 104448 107520 109684 110976 112910 114240 114688 121380 121751 121856 122880 129040 129472 130560 135492 137105 138720 139144 139264 143360 147968 152320 154848 161840 164526 169365 172032 173930 174080 180656 182784 184960 191947 193560 194208 206464 208716 208896 215040 219368 221952 225820 228480 242760 243502 243712 245760 258080 258944 260895 261120 270984 274210 277440 278288 278528 286720 295681 295936 304640 309696 323680 329052 338730 344064 347860 348160 361312 365253 365568 369920 383894 387120 388416 411315 412928 417432 417792 430080 438736 443904 451640 456960 466157 485520 487004 487424 516160 517888 521790 522240 541968 548420 554880 556576 573440 575841 591362 591872 608755 609280 619392 647360 658104 677460 695720 696320 722624 730506 731136 739840 767788 774240 776832 822630 825856 834864 835584 860160 877472 887043 887808 903280 913920 932314 959735 971040 974008 974848 1032320 1035776 1043580 1044480 1083936 1096840 1109760 1113152 1151682 1182724 1183744 1217510 1218560 1238784 1294720 1316208 1354920 1391440 1392640 1398471 1445248 1461012 1462272 1478405 1479680 1535576 1548480 1553664 1645260 1651712 1669728 1720320 1754944 1774086 1775616 1806560 1826265 1827840 1864628 1919470 1942080 1948016 1949696 2064640 2069767 2071552 2087160 2088960 2167872 2193680 2219520 2226304 2303364 2330785 2365448 2367488 2435020 2437120 2477568 2589440 2632416 2709840 2782880 2796942 2879205 2890496 2922024 2924544 2956810 2959360 3071152 3096960 3107328 3263099 3290520 3303424 3339456 3509888 3548172 3551232 3613120 3652530 3655680 3729256 3838940 3884160 3896032 4129280 4139534 4143104 4174320 4177920 4335744 4387360 4435215 4439040 4452608 4606728 4661570 4730896 4734976 4870040 4874240 4955136 5026577 5178880 5264832 5419680 5565760 5593884 5758410 5780992 5844048 5849088 5913620 5918720 6142304 6193920 6209301 6214656 6526198 6581040 6606848 6678912 6992355 7019776 7096344 7102464 7226240 7305060 7311360 7458512 7677880 7768320 7792064 8258560 8279068 8286208 8348640 8671488 8774720 8870430 8878080 8905216 9213456 9323140 9461792 9740080 9748480 9789297 9910272 10053154 10348835 10357760 10529664 10839360 11131520 11187768 11516820 11561984 11688096 11827240 11837440 12284608 12387840 12418602 12429312 13052396 13162080 13213696 13357824 13984710 14039552 14192688 14204928 14452480 14610120 14622720 14917024 15079731 15355760 15536640 15584128 16315495 16517120 16558136 16572416 16697280 17342976 17549440 17740860 17756160 17810432 18426912 18646280 18923584 19480160 19578594 19820544 20106308 20697670 20715520 21059328 21678720 22263040 22375536 23033640 23123968 23376192 23654480 23674880 24569216 24775680 24837204 24858624 25132885 26104792 26324160 26427392 26715648 27969420 28054909 28079104 28385376 28904960 29220240 29245440 29834048 30159462 30711520 31046505 31073280 31168256 32630990 33034240 33116272 33144832 33394560 34685952 35098880 35186039 35481720 35512320 35620864 36853824 37292560 37847168 38960320 39157188 39641088 40212616 41395340 41431040 42118656 43357440 44526080 44751072 46067280 46247936 46752384 47308960 48946485 49138432 49551360 49674408 49717248 50265770 52209584 52648320 53431296 55938840 56109818 56158208 56770752 57809920 58440480 59668096 60318924 61423040 62093010 62146560 62336512 65261980 66068480 66232544 66789120 69371904 70197760 70372078 70963440 71024640 71241728 73707648 74585120 75398655 75694336 77920640 78314376 79282176 80425232 82790680 82862080 84164727 84237312 86714880 89052160 89502144 92134560 92495872 93504768 94617920 97892970 98276864 99102720 99348816 99434496 100531540 104419168 105296640 105558117 106862592 111877680 112219636 112316416 113541504 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7160171520 7182056704 7266656256 7480381440 7630935248 7637516288 7720822272 7855374520 7862149120 7947905280 8107868701 8353533440 8444649360 8477765632 8977570880 9007625984 9083320320 9426449424 9434578944 9538669060 9546895360 9651027840 9973841920 10015602513 10024240128 10294429696 10597207040 10773085056 11259532480 11446402872 11456274432 11783061780 11793223680 12111093760 12530300160 12568599232 12716648448 12868037120 13354136684 13365653504 13466356320 13511438976 14308003590 14320343040 14364113408 14533312512 14960762880 15261870496 15441644544 15710749040 15724298240 15895810560 16215737402 16692670855 16707066880 16889298720 16955531264 17955141760 18015251968 18166640640 18852898848 19077338120 19093790720 19302055680 20031205026 20048480256 20588859392 21194414080 21546170112 22519064960 22892805744 22912548864 23566123560 23586447360 24222187520 24323606103 25060600320 25137198464 25433296896 25736074240 26708273368 26731307008 26932712640 27022877952 28616007180 28640686080 28728226816 29921525760 30523740992 30883289088 31421498080 31791621120 32431474804 33385341710 33414133760 33778597440 33911062528 35910283520 36030503936 36333281280 37705797696 38154676240 38187581440 38604111360 40062410052 40096960512 40539343505 41177718784 42388828160 43092340224 45038129920 45785611488 47132247120 47172894720 48647212206 50078012565 50121200640 50274396928 50866593792 51472148480 53416546736 53462614016 53865425280 54045755904 56755080907 57232014360 57281372160 57456453632 61047481984 61766578176 62842996160 63583242240 64862949608 66770683420 66828267520 67557194880 71820567040 72061007872 72666562560 75411595392 76309352480 77208222720 80124820104 80193921024 81078687010 82355437568 84777656320 86184680448 90076259840 91571222976 94264494240 97294424412 100156025130 100242401280 100548793856 101733187584 102944296960 106833093472 107730850560 108091511808 113510161814 114464028720 114562744320 114912907264 121618030515 122094963968 123533156352 125685992320 127166484480 129725899216 133541366840 133656535040 135114389760 143641134080 144122015744 150823190784 152618704960 154416445440 160249640208 160387842048 162157374020 169555312640 170265242721 172369360896 180152519680 183142445952 188528988480 194588848824 200312050260 200484802560 201097587712 205888593920 213666186944 215461701120 216183023616 227020323628 228928057440 229825814528 243236061030 244189927936 247066312704 251371984640 254332968960 259451798432 267082733680 267313070080 270228779520 283775404535 287282268160 288244031488 301646381568 305237409920 308832890880 320499280416 324314748040 340530485442 344738721792 360305039360 366284891904 377057976960 389177697648 400624100520 400969605120 402195175424 411777187840 427332373888 430923402240 432366047232 454040647256 457856114880 459651629056 486472122060 488379855872 502743969280 508665937920 518903596864 534165467360 540457559040 567550809070 574564536320 576488062976 603292763136 610474819840 617665781760 640998560832 648629496080 681060970884 689477443584 720610078720 732569783808 754115953920 778355395296 801248201040 801939210240 804390350848 851326213605 854664747776 861846804480 864732094464 908081294512 915712229760 972944244120 976759711744 1005487938560 1037807193728 1068330934720 1080915118080 1135101618140 1149129072640 1206585526272 1220949639680 1235331563520 1281997121664 1297258992160 1362121941768 1378954887168 1441220157440 1465139567616 1508231907840 1556710790592 1602496402080 1608780701696 1702652427210 1709329495552 1723693608960 1729464188928 1816162589024 1831424459520 1945888488240 1953519423488 2010975877120 2075614387456 2136661869440 2161830236160 2270203236280 2298258145280 2413171052544 2441899279360 2563994243328 2594517984320 2724243883536 2882440314880 2930279135232 3016463815680 3113421581184 3204992804160 3217561403392 3405304854420 3418658991104 3447387217920 3632325178048 3662848919040 3891776976480 3907038846976 4021951754240 4151228774912 4273323738880 4323660472320 4540406472560 4826342105088 4883798558720 5127988486656 5189035968640 5448487767072 5860558270464 6032927631360 6226843162368 6409985608320 6810609708840 6837317982208 6894774435840 7264650356096 7325697838080 7783553952960 7814077693952 8043903508480 8302457549824 8546647477760 8647320944640 9080812945120 9652684210176 9767597117440 10255976973312 10378071937280 10896975534144 11721116540928 12065855262720 12453686324736 12819971216640 13621219417680 13674635964416 14529300712192 14651395676160 15567107905920 16087807016960 16604915099648 17093294955520 18161625890240 19535194234880 20511953946624 20756143874560 21793951068288 23442233081856 24131710525440 24907372649472 25639942433280 27242438835360 27349271928832 29058601424384 29302791352320 31134215811840 33209830199296 34186589911040 36323251780480 39070388469760 41023907893248 41512287749120 43587902136576 48263421050880 49814745298944 51279884866560 54484877670720 54698543857664 58117202848768 58605582704640 62268431623680 66419660398592 68373179822080 72646503560960 82047815786496 83024575498240 87175804273152 99629490597888 102559769733120 108969755341440 116234405697536 117211165409280 124536863247360 132839320797184 136746359644160 145293007121920 164095631572992 166049150996480 174351608546304 199258981195776 205119539466240 217939510682880 232468811395072 249073726494720 273492719288320 290586014243840 332098301992960 348703217092608 398517962391552 410239078932480 435879021365760 464937622790144 498147452989440 581172028487680 664196603985920 697406434185216 820478157864960 871758042731520 929875245580288 996294905978880 1162344056975360 1394812868370432 1743516085463040 1992589811957760 2324688113950720 2789625736740864 3487032170926080 4649376227901440 6974064341852160 13948128683704320
- Sum of all divisors σ(n): 54222468040435968
- Sum of proper divisors (its aliquot sum) s(n): 40274339356731648
- 13948128683704320 is an abundant number, because the sum of its proper divisors (40274339356731648) is greater than itself. Its abundance is 26326210673027328
Bases of 13948128683704320
- Binary: 1100011000110110111111110001110111100101000000000000002
- Hexadecimal: 0x318DBFC7794000
- Base-36: 3TC75UW9M2O
Squares and roots of 13948128683704320
- 13948128683704320 squared (139481286837043202) is 194550293777175206477517186662400
- 13948128683704320 cubed (139481286837043203) is 2713612533056519571098644907337531382529261568000
-
The
square root of 13948128683704320 is 118102195.9309153573 -
The
cube root of 13948128683704320 is 240716.1979162635
Scales and comparisons
How big is 13948128683704320?- 13,948,128,683,704,320 seconds is equal to 443,507,347 years, 38 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 13,948,128,683,704,320 would take you about one billion, three hundred thirty million, five hundred twenty-two thousand and forty-three 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 13948128683704320 cubic inches would be around 20059.7 feet tall.
Recreational maths with 13948128683704320
- 13948128683704320 backwards is 02340738682184931
- The number of decimal digits it has is: 17
- The sum of 13948128683704320's digits is 69
- More coming soon!
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"Number 13948128683704320 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13948128683704320 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13948128683704320/
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The information we have on file for 13948128683704320 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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