13314139139042780774400
13,314,139,139,042,780,774,400 is an even composite number composed of five prime numbers multiplied together.
13314139139042780774400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 13314139139042780774400:
217 × 32 × 52 × 7 × 64494489102041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 64494489102041)See below for interesting mathematical facts about the number 13314139139042780774400 from the Numbermatics database.
Names of 13314139139042780774400
- Cardinal: 13314139139042780774400 can be written as Thirteen sextillion, three hundred fourteen quintillion, one hundred thirty-nine quadrillion, one hundred thirty-nine trillion, forty-two billion, seven hundred eighty million, seven hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.33141391390427807744 × 1022
Factors of 13314139139042780774400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 23
- Sum of prime factors: 64494489102058
Divisors of 13314139139042780774400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 512 525 560 576 600 630 640 672 700 720 768 800 840 896 900 960 1008 1024 1050 1120 1152 1200 1260 1280 1344 1400 1440 1536 1575 1600 1680 1792 1800 1920 2016 2048 2100 2240 2304 2400 2520 2560 2688 2800 2880 3072 3150 3200 3360 3584 3600 3840 4032 4096 4200 4480 4608 4800 5040 5120 5376 5600 5760 6144 6300 6400 6720 7168 7200 7680 8064 8192 8400 8960 9216 9600 10080 10240 10752 11200 11520 12288 12600 12800 13440 14336 14400 15360 16128 16384 16800 17920 18432 19200 20160 20480 21504 22400 23040 24576 25200 25600 26880 28672 28800 30720 32256 32768 33600 35840 36864 38400 40320 40960 43008 44800 46080 49152 50400 51200 53760 57344 57600 61440 64512 65536 67200 71680 73728 76800 80640 81920 86016 89600 92160 98304 100800 102400 107520 114688 115200 122880 129024 131072 134400 143360 147456 153600 161280 163840 172032 179200 184320 196608 201600 204800 215040 229376 230400 245760 258048 268800 286720 294912 307200 322560 327680 344064 358400 368640 393216 403200 409600 430080 458752 460800 491520 516096 537600 573440 589824 614400 645120 655360 688128 716800 737280 806400 819200 860160 917504 921600 983040 1032192 1075200 1146880 1179648 1228800 1290240 1376256 1433600 1474560 1612800 1638400 1720320 1843200 1966080 2064384 2150400 2293760 2457600 2580480 2752512 2867200 2949120 3225600 3276800 3440640 3686400 4128768 4300800 4587520 4915200 5160960 5734400 5898240 6451200 6881280 7372800 8257536 8601600 9830400 10321920 11468800 12902400 13762560 14745600 17203200 20643840 22937600 25804800 29491200 34406400 41287680 51609600 68812800 103219200 206438400 64494489102041 128988978204082 193483467306123 257977956408164 322472445510205 386966934612246 451461423714287 515955912816328 580450401918369 644944891020410 773933869224492 902922847428574 967417336530615 1031911825632656 1160900803836738 1289889782040820 1354384271142861 1547867738448984 1612362227551025 1805845694857148 1934834673061230 2063823651265312 2257307118571435 2321801607673476 2579779564081640 2708768542285722 2902252009591845 3095735476897968 3224724455102050 3611691389714296 3869669346122460 4063152813428583 4127647302530624 4514614237142870 4643603215346952 4837086682653075 5159559128163280 5417537084571444 5804504019183690 6191470953795936 6449448910204100 6771921355714305 7223382779428592 7739338692244920 8126305626857166 8255294605061248 9029228474285740 9287206430693904 9674173365306150 10319118256326560 10835074169142888 11286535592857175 11609008038367380 12382941907591872 12898897820408200 13543842711428610 14446765558857184 14511260047959225 15478677384489840 16252611253714332 16510589210122496 18058456948571480 18574412861387808 19348346730612300 20315764067142915 20638236512653120 21670148338285776 22573071185714350 23218016076734760 24765883815183744 25797795640816400 27087685422857220 28893531117714368 29022520095918450 30957354768979680 32505222507428664 33021178420244992 33859606778571525 36116913897142960 37148825722775616 38696693461224600 40631528134285830 41276473025306240 43340296676571552 45146142371428700 46436032153469520 49531767630367488 51595591281632800 54175370845714440 57787062235428736 58045040191836900 61914709537959360 65010445014857328 66042356840489984 67719213557143050 72233827794285920 74297651445551232 77393386922449200 81263056268571660 82552946050612480 86680593353143104 90292284742857400 92872064306939040 99063535260734976 101578820335714575 103191182563265600 108350741691428880 115574124470857472 116090080383673800 123829419075918720 130020890029714656 132084713680979968 135438427114286100 144467655588571840 148595302891102464 154786773844898400 162526112537143320 165105892101224960 173361186706286208 180584569485714800 185744128613878080 198127070521469952 203157640671429150 206382365126531200 216701483382857760 231148248941714944 232180160767347600 247658838151837440 260041780059429312 264169427361959936 270876854228572200 288935311177143680 297190605782204928 309573547689796800 325052225074286640 330211784202449920 346722373412572416 361169138971429600 371488257227756160 396254141042939904 406315281342858300 412764730253062400 433402966765715520 462296497883429888 464360321534695200 495317676303674880 520083560118858624 528338854723919872 541753708457144400 577870622354287360 594381211564409856 619147095379593600 650104450148573280 660423568404899840 693444746825144832 722338277942859200 742976514455512320 792508282085879808 812630562685716600 825529460506124800 866805933531431040 924592995766859776 928720643069390400 990635352607349760 1040167120237717248 1056677709447839744 1083507416914288800 1155741244708574720 1188762423128819712 1238294190759187200 1300208900297146560 1320847136809799680 1386889493650289664 1444676555885718400 1485953028911024640 1585016564171759616 1625261125371433200 1651058921012249600 1733611867062862080 1849185991533719552 1857441286138780800 1981270705214699520 2080334240475434496 2113355418895679488 2167014833828577600 2311482489417149440 2377524846257639424 2476588381518374400 2600417800594293120 2641694273619599360 2773778987300579328 2889353111771436800 2971906057822049280 3170033128343519232 3250522250742866400 3302117842024499200 3467223734125724160 3698371983067439104 3714882572277561600 3962541410429399040 4160668480950868992 4226710837791358976 4334029667657155200 4622964978834298880 4755049692515278848 4953176763036748800 5200835601188586240 5283388547239198720 5547557974601158656 5778706223542873600 5943812115644098560 6340066256687038464 6501044501485732800 6604235684048998400 6934447468251448320 7396743966134878208 7429765144555123200 7925082820858798080 8321336961901737984 8453421675582717952 8668059335314310400 9245929957668597760 9510099385030557696 9906353526073497600 10401671202377172480 10566777094478397440 11095115949202317312 11557412447085747200 11887624231288197120 12680132513374076928 13002089002971465600 13208471368097996800 13868894936502896640 14793487932269756416 14859530289110246400 15850165641717596160 16642673923803475968 17336118670628620800 18491859915337195520 19020198770061115392 19812707052146995200 20803342404754344960 21133554188956794880 22190231898404634624 23114824894171494400 23775248462576394240 25360265026748153856 26004178005942931200 26416942736195993600 27737789873005793280 29586975864539512832 29719060578220492800 31700331283435192320 33285347847606951936 34672237341257241600 36983719830674391040 38040397540122230784 39625414104293990400 41606684809508689920 42267108377913589760 44380463796809269248 46229649788342988800 47550496925152788480 52008356011885862400 52833885472391987200 55475579746011586560 59173951729079025664 59438121156440985600 63400662566870384640 66570695695213903872 69344474682514483200 73967439661348782080 76080795080244461568 79250828208587980800 83213369619017379840 88760927593618538496 92459299576685977600 95100993850305576960 104016712023771724800 105667770944783974400 110951159492023173120 118876242312881971200 126801325133740769280 133141391390427807744 138688949365028966400 147934879322697564160 158501656417175961600 166426739238034759680 177521855187237076992 184918599153371955200 190201987700611153920 208033424047543449600 211335541889567948800 221902318984046346240 237752484625763942400 266282782780855615488 277377898730057932800 295869758645395128320 317003312834351923200 332853478476069519360 369837198306743910400 380403975401222307840 416066848095086899200 443804637968092692480 475504969251527884800 532565565561711230976 554755797460115865600 634006625668703846400 665706956952139038720 739674396613487820800 832133696190173798400 887609275936185384960 951009938503055769600 1109511594920231731200 1331413913904278077440 1479348793226975641600 1664267392380347596800 1902019877006111539200 2219023189840463462400 2662827827808556154880 3328534784760695193600 4438046379680926924800 6657069569521390387200 13314139139042780774400
- Sum of all divisors σ(n): 54507455033925345523344
- Sum of proper divisors (its aliquot sum) s(n): 41193315894882564748944
- 13314139139042780774400 is an abundant number, because the sum of its proper divisors (41193315894882564748944) is greater than itself. Its abundance is 27879176755839783974544
Bases of 13314139139042780774400
- Binary: 101101000111000010110011000011110110100000100000100001111000000000000000002
- Hexadecimal: 0x2D1C2CC3DA0821E0000
- Base-36: 261UL57LSBKHDS0
Squares and roots of 13314139139042780774400
- 13314139139042780774400 squared (133141391390427807744002) is 177266301013790839686673368677858263695360000
- 13314139139042780774400 cubed (133141391390427807744003) is 2360148196361051587064405871824271531432870829349366906486784000000
-
The
square root of 13314139139042780774400 is 115386910605.3315770741 -
The
cube root of 13314139139042780774400 is 23701237.9486187163
Scales and comparisons
How big is 13314139139042780774400?- 13,314,139,139,042,780,774,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,314,139,139,042,780,774,400 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 13314139139042780774400 cubic inches would be around 1975103.2 feet tall.
Recreational maths with 13314139139042780774400
- 13314139139042780774400 backwards is 00447708724093193141331
- The number of decimal digits it has is: 23
- The sum of 13314139139042780774400's digits is 81
- More coming soon!
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The information we have on file for 13314139139042780774400 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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