13468608374956545384000
13,468,608,374,956,545,384,000 is an even composite number composed of six prime numbers multiplied together.
13468608374956545384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 13468608374956545384000:
26 × 34 × 53 × 7 × 229 × 12966244209311
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 229 × 12966244209311)See below for interesting mathematical facts about the number 13468608374956545384000 from the Numbermatics database.
Names of 13468608374956545384000
- Cardinal: 13468608374956545384000 can be written as Thirteen sextillion, four hundred sixty-eight quintillion, six hundred eight quadrillion, three hundred seventy-four trillion, nine hundred fifty-six billion, five hundred forty-five million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3468608374956545384 × 1022
Factors of 13468608374956545384000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 12966244209557
Divisors of 13468608374956545384000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 229 240 250 252 270 280 288 300 315 320 324 336 350 360 375 378 400 405 420 432 448 450 458 480 500 504 525 540 560 567 576 600 630 648 672 675 687 700 720 750 756 800 810 840 864 875 900 916 945 960 1000 1008 1050 1080 1120 1125 1134 1145 1200 1260 1296 1344 1350 1374 1400 1440 1500 1512 1575 1600 1603 1620 1680 1728 1750 1800 1832 1890 2000 2016 2025 2061 2100 2160 2240 2250 2268 2290 2400 2520 2592 2625 2700 2748 2800 2835 2880 3000 3024 3150 3206 3240 3360 3375 3435 3500 3600 3664 3780 4000 4032 4050 4122 4200 4320 4500 4536 4580 4725 4800 4809 5040 5184 5250 5400 5496 5600 5670 5725 6000 6048 6183 6300 6412 6480 6720 6750 6870 7000 7200 7328 7560 7875 8000 8015 8100 8244 8400 8640 9000 9072 9160 9450 9618 10080 10125 10305 10500 10800 10992 11200 11340 11450 12000 12096 12366 12600 12824 12960 13500 13740 14000 14175 14400 14427 14656 15120 15750 16030 16200 16488 16800 17175 18000 18144 18320 18549 18900 19236 20160 20250 20610 21000 21600 21984 22680 22900 23625 24000 24045 24732 25200 25648 25920 27000 27480 28000 28350 28625 28854 30240 30915 31500 32060 32400 32976 33600 34350 36000 36288 36640 37098 37800 38472 40075 40500 41220 42000 43200 43281 43968 45360 45800 47250 48090 49464 50400 51296 51525 54000 54960 56000 56700 57250 57708 60480 61830 63000 64120 64800 65952 68700 70875 72000 72135 73280 74196 75600 76944 80150 81000 82440 84000 85875 86562 90720 91600 92745 94500 96180 98928 100800 102592 103050 108000 109920 113400 114500 115416 120225 123660 126000 128240 129600 129843 131904 137400 141750 144270 148392 151200 153888 154575 160300 162000 164880 168000 171750 173124 181440 183200 185490 189000 192360 197856 200375 206100 216000 216405 219840 226800 229000 230832 240450 247320 252000 256480 257625 259686 274800 283500 288540 296784 302400 307776 309150 320600 324000 329760 343500 346248 360675 366400 370980 378000 384720 395712 400750 412200 432810 453600 458000 461664 463725 480900 494640 504000 512960 515250 519372 549600 567000 577080 593568 601125 618300 641200 648000 649215 659520 687000 692496 721350 741960 756000 769440 772875 801500 824400 865620 907200 916000 923328 927450 961800 989280 1030500 1038744 1082025 1099200 1134000 1154160 1187136 1202250 1236600 1282400 1298430 1374000 1384992 1442700 1483920 1512000 1538880 1545750 1603000 1648800 1731240 1803375 1832000 1854900 1923600 1978560 2061000 2077488 2164050 2268000 2308320 2318625 2404500 2473200 2564800 2596860 2748000 2769984 2885400 2967840 3091500 3206000 3246075 3297600 3462480 3606750 3709800 3847200 4122000 4154976 4328100 4536000 4616640 4637250 4809000 4946400 5193720 5410125 5496000 5770800 5935680 6183000 6412000 6492150 6924960 7213500 7419600 7694400 8244000 8309952 8656200 9274500 9618000 9892800 10387440 10820250 11541600 12366000 12824000 12984300 13849920 14427000 14839200 16230375 16488000 17312400 18549000 19236000 20774880 21640500 23083200 24732000 25968600 28854000 29678400 32460750 34624800 37098000 38472000 41549760 43281000 49464000 51937200 57708000 64921500 69249600 74196000 86562000 103874400 115416000 129843000 148392000 173124000 207748800 259686000 346248000 519372000 1038744000 12966244209311 25932488418622 38898732627933 51864976837244 64831221046555 77797465255866 90763709465177 103729953674488 116696197883799 129662442093110 155594930511732 181527418930354 194493663139665 207459907348976 233392395767598 259324884186220 272291128395531 311189861023464 324156105232775 350088593651397 363054837860708 388987326279330 414919814697952 453818547325885 466784791535196 518649768372440 544582256791062 583480989418995 622379722046928 648312210465550 700177187302794 726109675721416 777974652558660 816873385186593 829839629395904 907637094651770 933569583070392 972468315698325 1037299536744880 1050265780954191 1089164513582124 1166961978837990 1244759444093856 1296624420931100 1361455641977655 1400354374605588 1452219351442832 1555949305117320 1620780526163875 1633746770373186 1750442968256985 1815274189303540 1867139166140784 1944936631396650 2074599073489760 2100531561908382 2178329027164248 2269092736629425 2333923957675980 2450620155559779 2489518888187712 2593248841862200 2722911283955310 2800708749211176 2904438702885664 2917404947094975 2969269923932219 3111898610234640 3241561052327750 3267493540746372 3500885936513970 3630548378607080 3734278332281568 3889873262793300 4084366925932965 4149198146979520 4201063123816764 4356658054328496 4538185473258850 4667847915351960 4862341578491625 4901240311119558 5186497683724400 5251328904770955 5445822567910620 5601417498422352 5808877405771328 5834809894189950 5938539847864438 6223797220469280 6483122104655500 6534987081492744 6807278209888275 7001771873027940 7261096757214160 7351860466679337 7468556664563136 7779746525586600 8168733851865930 8402126247633528 8713316108656992 8752214841284925 8907809771796657 9076370946517700 9335695830703920 9724683156983250 9802480622239116 10372995367448800 10502657809541910 10891645135821240 11202834996844704 11345463683147125 11669619788379900 11877079695728876 12253100777798895 12447594440938560 12966244209311000 13069974162985488 13614556419776550 14003543746055880 14522193514428320 14587024735474875 14703720933358674 14846349619661095 15559493051173200 16337467703731860 16804252495267056 17426632217313984 17504429682569850 17815619543593314 18152741893035400 18671391661407840 19449366313966500 19604961244478232 20421834629664825 20745990734897600 20784889467525533 21005315619083820 21783290271642480 22405669993689408 22690927366294250 23339239576759800 23754159391457752 24506201555597790 25932488418622000 26139948325970976 26256644523854775 26723429315389971 27229112839553100 28007087492111760 29044387028856640 29174049470949750 29407441866717348 29692699239322190 31118986102346400 32674935407463720 33608504990534112 34036391049441375 35008859365139700 35631239087186628 36305483786070800 36759302333396685 37342783322815680 38898732627933000 39209922488956464 40843669259329650 41569778935051066 42010631238167640 43566580543284960 43761074206424625 44539048858983285 45381854732588500 46678479153519600 47508318782915504 49012403111195580 51864976837244000 52279896651941952 52513289047709550 53446858630779942 54458225679106200 56014174984223520 58348098941899500 58814883733434696 59385398478644380 61265503888994475 62237972204692800 62354668402576599 65349870814927440 67217009981068224 68072782098882750 70017718730279400 71262478174373256 72610967572141600 73518604666793370 74231748098305475 77797465255866000 78419844977912928 80170287946169913 81687338518659300 83139557870102132 84021262476335280 87133161086569920 87522148412849250 89078097717966570 90763709465177000 93356958307039200 95016637565831008 98024806222391160 102109173148324125 103729953674488000 103924447337627665 105026578095419100 106893717261559884 108916451358212400 112028349968447040 116696197883799000 117629767466869392 118770796957288760 122531007777988950 124709336805153198 130699741629854880 131283222619273875 133617146576949855 136145564197765500 140035437460558800 142524956348746512 145221935144283200 147037209333586740 148463496196610950 155594930511732000 156839689955825856 160340575892339826 163374677037318600 166279115740204264 168042524952670560 175044296825698500 178156195435933140 181527418930354000 183796511666983425 186713916614078400 187064005207729797 190033275131662016 196049612444782320 204218346296648250 207848894675255330 210053156190838200 213787434523119768 217832902716424800 222695244294916425 233392395767598000 235259534933738784 237541593914577520 240510863838509739 245062015555977900 249418673610306396 261399483259709760 262566445238547750 267234293153899710 272291128395531000 280070874921117600 285049912697493024 294074418667173480 296926992393221900 306327519444972375 311189861023464000 311773342012882995 320681151784679652 326749354074637200 332558231480408528 336085049905341120 350088593651397000 356312390871866280 363054837860708000 367593023333966850 371158740491527375 374128010415459594 392099224889564640 400851439730849565 408436692593296500 415697789350510660 420106312381676400 427574869046239536 435665805432849600 445390488589832850 466784791535196000 470519069867477568 475083187829155040 481021727677019478 490124031111955800 498837347220612792 519622236688138325 525132890477095500 534468586307799420 544582256791062000 560141749842235200 561192015623189391 570099825394986048 588148837334346960 593853984786443800 612655038889944750 623546684025765990 641362303569359304 653498708149274400 665116462960817056 668085732884749275 700177187302794000 712624781743732560 726109675721416000 735186046667933700 742317480983054750 748256020830919188 784198449779129280 801702879461699130 816873385186593000 831395578701021320 840212624763352800 855149738092479072 890780977179665700 918982558334917125 933569583070392000 935320026038648985 950166375658310080 962043455354038956 980248062223911600 997674694441225584 1039244473376276650 1050265780954191000 1068937172615598840 1089164513582124000 1113476221474582125 1122384031246378782 1176297674668693920 1187707969572887600 1202554319192548695 1225310077779889500 1247093368051531980 1282724607138718608 1306997416298548800 1330232925921634112 1336171465769498550 1400354374605588000 1425249563487465120 1470372093335867400 1484634961966109500 1496512041661838376 1558866710064414975 1603405758923398260 1633746770373186000 1662791157402042640 1680425249526705600 1683576046869568173 1710299476184958144 1781561954359331400 1837965116669834250 1870640052077297970 1924086910708077912 1960496124447823200 1995349388882451168 2004257198654247825 2078488946752553300 2100531561908382000 2137874345231197680 2178329027164248000 2226952442949164250 2244768062492757564 2352595349337387840 2375415939145775200 2405108638385097390 2450620155559779000 2494186736103063960 2565449214277437216 2598111183440691625 2672342931538997100 2800708749211176000 2805960078115946955 2850499126974930240 2940744186671734800 2969269923932219000 2993024083323676752 3117733420128829950 3206811517846796520 3267493540746372000 3325582314804085280 3340428664423746375 3367152093739136346 3563123908718662800 3675930233339668500 3741280104154595940 3848173821416155824 3920992248895646400 3990698777764902336 4008514397308495650 4156977893505106600 4201063123816764000 4275748690462395360 4453904885898328500 4489536124985515128 4676600130193244925 4750831878291550400 4810217276770194780 4901240311119558000 4988373472206127920 5130898428554874432 5196222366881383250 5344685863077994200 5611920156231893910 5881488373343469600 5938539847864438000 5986048166647353504 6012771595962743475 6235466840257659900 6413623035693593040 6534987081492744000 6651164629608170560 6680857328847492750 6734304187478272692 7126247817437325600 7351860466679337000 7482560208309191880 7696347642832311648 7794333550322074875 8017028794616991300 8313955787010213200 8402126247633528000 8417880234347840865 8551497380924790720 8907809771796657000 8979072249971030256 9353200260386489850 9620434553540389560 9802480622239116000 9976746944412255840 10021285993271239125 10392444733762766500 10689371726155988400 11223840312463787820 11762976746686939200 11877079695728876000 11972096333294707008 12025543191925486950 12470933680515319800 12827246071387186080 13361714657694985500 13468608374956545384 14029800390579734775 14252495634874651200 14703720933358674000 14965120416618383760 15392695285664623296 15588667100644149750 16034057589233982600 16627911574020426400 16835760468695681730 17815619543593314000 17958144499942060512 18706400520772979700 19240869107080779120 19604961244478232000 19953493888824511680 20042571986542478250 20784889467525533000 21378743452311976800 22447680624927575640 23383000650966224625 23754159391457752000 24051086383850973900 24941867361030639600 25654492142774372160 26723429315389971000 26937216749913090768 28059600781159469550 29407441866717348000 29930240833236767520 30063857979813717375 31177334201288299500 32068115178467965200 33255823148040852800 33671520937391363460 35631239087186628000 35916288999884121024 37412801041545959400 38481738214161558240 40085143973084956500 41569778935051066000 42089401171739204325 42757486904623953600 44895361249855151280 46766001301932449250 48102172767701947800 49883734722061279200 53446858630779942000 53874433499826181536 56119201562318939100 58814883733434696000 59860481666473535040 60127715959627434750 62354668402576599000 64136230356935930400 67343041874782726920 70149001952898673875 71262478174373256000 74825602083091918800 76963476428323116480 80170287946169913000 83139557870102132000 84178802343478408650 89790722499710302560 93532002603864898500 96204345535403895600 99767469444122558400 106893717261559884000 107748866999652363072 112238403124637878200 120255431919254869500 124709336805153198000 128272460713871860800 134686083749565453840 140298003905797347750 149651204166183837600 160340575892339826000 166279115740204264000 168357604686956817300 179581444999420605120 187064005207729797000 192408691070807791200 210447005858696021625 213787434523119768000 224476806249275756400 240510863838509739000 249418673610306396000 269372167499130907680 280596007811594695500 299302408332367675200 320681151784679652000 336715209373913634600 374128010415459594000 384817382141615582400 420894011717392043250 448953612498551512800 481021727677019478000 498837347220612792000 538744334998261815360 561192015623189391000 641362303569359304000 673430418747827269200 748256020830919188000 841788023434784086500 897907224997103025600 962043455354038956000 1122384031246378782000 1346860837495654538400 1496512041661838376000 1683576046869568173000 1924086910708077912000 2244768062492757564000 2693721674991309076800 3367152093739136346000 4489536124985515128000 6734304187478272692000 13468608374956545384000
- Sum of all divisors σ(n): 57193372948401363548160
- Sum of proper divisors (its aliquot sum) s(n): 43724764573444818164160
- 13468608374956545384000 is an abundant number, because the sum of its proper divisors (43724764573444818164160) is greater than itself. Its abundance is 30256156198488272780160
Bases of 13468608374956545384000
- Binary: 101101101000100010011111010011010101000111000010000001000110011110010000002
- Hexadecimal: 0x2DA227D354708119E40
- Base-36: 26YG675S6V99G00
Squares and roots of 13468608374956545384000
- 13468608374956545384000 squared (134686083749565453840002) is 181403411557949594215021870303651707456000000
- 13468608374956545384000 cubed (134686083749565453840003) is 2443251508155088886881954451815957583319284555654755183104000000000
-
The
square root of 13468608374956545384000 is 116054333718.9807202937 -
The
cube root of 13468608374956545384000 is 23792545.4933128283
Scales and comparisons
How big is 13468608374956545384000?- 13,468,608,374,956,545,384,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,468,608,374,956,545,384,000 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 13468608374956545384000 cubic inches would be around 1982712.1 feet tall.
Recreational maths with 13468608374956545384000
- 13468608374956545384000 backwards is 00048354565947380686431
- The number of decimal digits it has is: 23
- The sum of 13468608374956545384000's digits is 99
- More coming soon!
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"Number 13468608374956545384000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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The information we have on file for 13468608374956545384000 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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