13961293648717968000
13,961,293,648,717,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13961293648717968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13961293648717968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13961293648717968000:
27 × 32 × 53 × 7 × 11161 × 1240972111
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11161 × 1240972111)See below for interesting mathematical facts about the number 13961293648717968000 from the Numbermatics database.
Names of 13961293648717968000
- Cardinal: 13961293648717968000 can be written as Thirteen quintillion, nine hundred sixty-one quadrillion, two hundred ninety-three trillion, six hundred forty-eight billion, seven hundred seventeen million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3961293648717968 × 1019
Factors of 13961293648717968000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1240983289
Divisors of 13961293648717968000
- Number of divisors d(n): 768
-
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 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 525 560 576 600 630 640 672 700 720 750 800 840 875 896 900 960 1000 1008 1050 1120 1125 1152 1200 1260 1344 1400 1440 1500 1575 1600 1680 1750 1800 1920 2000 2016 2100 2240 2250 2400 2520 2625 2688 2800 2880 3000 3150 3200 3360 3500 3600 4000 4032 4200 4480 4500 4800 5040 5250 5600 5760 6000 6300 6720 7000 7200 7875 8000 8064 8400 9000 9600 10080 10500 11161 11200 12000 12600 13440 14000 14400 15750 16000 16800 18000 20160 21000 22322 22400 24000 25200 28000 28800 31500 33483 33600 36000 40320 42000 44644 48000 50400 55805 56000 63000 66966 67200 72000 78127 84000 89288 100449 100800 111610 112000 126000 133932 144000 156254 167415 168000 178576 200898 201600 223220 234381 252000 267864 279025 312508 334830 336000 357152 390635 401796 446440 468762 502245 504000 535728 558050 625016 669660 703143 714304 781270 803592 837075 892880 937524 1004490 1008000 1071456 1116100 1171905 1250032 1339320 1395125 1406286 1428608 1562540 1607184 1674150 1785760 1875048 1953175 2008980 2142912 2232200 2343810 2500064 2511225 2678640 2790250 2812572 3125080 3214368 3348300 3515715 3571520 3750096 3906350 4017960 4185375 4285824 4464400 4687620 5000128 5022450 5357280 5580500 5625144 5859525 6250160 6428736 6696600 7031430 7143040 7500192 7812700 8035920 8370750 8928800 9375240 9765875 10000256 10044900 10714560 11161000 11250288 11719050 12500320 12556125 12857472 13393200 14062860 15000384 15625400 16071840 16741500 17578575 17857600 18750480 19531750 20089800 21429120 22322000 22500576 23438100 25000640 25112250 26786400 28125720 29297625 30000768 31250800 32143680 33483000 35157150 35715200 37500960 39063500 40179600 44644000 45001152 46876200 50001280 50224500 53572800 56251440 58595250 62501600 64287360 66966000 70314300 75001920 78127000 80359200 87892875 89288000 90002304 93752400 100449000 107145600 112502880 117190500 125003200 133932000 140628600 150003840 156254000 160718400 175785750 178576000 187504800 200898000 225005760 234381000 250006400 267864000 281257200 312508000 321436800 351571500 375009600 401796000 450011520 468762000 535728000 562514400 625016000 703143000 750019200 803592000 937524000 1125028800 1240972111 1250032000 1406286000 1607184000 1875048000 2250057600 2481944222 2812572000 3722916333 3750096000 4963888444 5625144000 6204860555 7445832666 8686804777 9927776888 11168748999 11250288000 12409721110 14891665332 17373609554 18614581665 19855553776 22337497998 24819442220 26060414331 29783330664 31024302775 34747219108 37229163330 39711107552 43434023885 44674995996 49638884440 52120828662 55843744995 59566661328 62048605550 69494438216 74458326660 78181242993 79422215104 86868047770 89349991992 93072908325 99277768880 104241657324 111687489990 119133322656 124097211100 130302071655 138988876432 148916653320 155121513875 156362485986 158844430208 173736095540 178699983984 186145816650 198555537760 208483314648 217170119425 223374979980 238266645312 248194422200 260604143310 277977752864 279218724975 297833306640 310243027750 312724971972 347472191080 357399967968 372291633300 390906214965 397111075520 416966629296 434340238850 446749959960 465364541625 476533290624 496388844400 521208286620 555955505728 558437449950 595666613280 620486055500 625449943944 651510358275 694944382160 714799935936 744583266600 781812429930 794222151040 833933258592 868680477700 893499919920 930729083250 992777688800 1042416573240 1085850597125 1111911011456 1116874899900 1191333226560 1240972111000 1250899887888 1303020716550 1389888764320 1396093624875 1429599871872 1489166533200 1563624859860 1667866517184 1737360955400 1786999839840 1861458166500 1954531074825 1985555377600 2084833146480 2171701194250 2233749799800 2382666453120 2481944222000 2501799775776 2606041433100 2779777528640 2792187249750 2978333066400 3127249719720 3257551791375 3335733034368 3474721910800 3573999679680 3722916333000 3909062149650 3971110755200 4169666292960 4343402388500 4467499599600 4963888444000 5003599551552 5212082866200 5559555057280 5584374499500 5956666132800 6254499439440 6515103582750 6949443821600 7147999359360 7445832666000 7818124299300 8339332585920 8686804777000 8934999199200 9772655374125 9927776888000 10007199103104 10424165732400 11168748999000 11913332265600 12508998878880 13030207165500 13850489730871 13898887643200 14891665332000 15636248598600 16678665171840 17373609554000 17869998398400 19545310748250 19855553776000 20848331464800 22337497998000 25017997757760 26060414331000 27700979461742 27797775286400 29783330664000 31272497197200 34747219108000 35739996796800 39090621496500 41551469192613 41696662929600 44674995996000 50035995515520 52120828662000 55401958923484 59566661328000 62544994394400 69252448654355 69494438216000 78181242993000 83102938385226 83393325859200 89349991992000 96953428116097 104241657324000 110803917846968 124654407577839 125089988788800 138504897308710 138988876432000 156362485986000 166205876770452 178699983984000 193906856232194 207757345963065 208483314648000 221607835693936 249308815155678 250179977577600 277009794617420 290860284348291 312724971972000 332411753540904 346262243271775 387813712464388 415514691926130 416966629296000 443215671387872 484767140580485 498617630311356 554019589234840 581720568696582 623272037889195 625449943944000 664823507081808 692524486543550 775627424928776 831029383852260 872580853044873 886431342775744 969534281160970 997235260622712 1038786729815325 1108039178469680 1163441137393164 1246544075778390 1250899887888000 1329647014163616 1385048973087100 1454301421741455 1551254849857552 1662058767704520 1731311216358875 1745161706089746 1772862685551488 1939068562321940 1994470521245424 2077573459630650 2216078356939360 2326882274786328 2423835702902425 2493088151556780 2659294028327232 2770097946174200 2908602843482910 3102509699715104 3116360189445975 3324117535409040 3462622432717750 3490323412179492 3878137124643880 3988941042490848 4155146919261300 4362904265224365 4432156713878720 4653764549572656 4847671405804850 4986176303113560 5193933649076625 5318588056654464 5540195892348400 5817205686965820 6205019399430208 6232720378891950 6648235070818080 6925244865435500 6980646824358984 7271507108707275 7756274249287760 7977882084981696 8310293838522600 8725808530448730 8864313427757440 9307529099145312 9695342811609700 9972352606227120 10387867298153250 11080391784696800 11634411373931640 12119178514512125 12410038798860416 12465440757783900 13296470141636160 13850489730871000 13961293648717968 14543014217414550 15512548498575520 15581800947229875 15955764169963392 16620587677045200 17451617060897460 18615058198290624 19390685623219400 19944705212454240 20775734596306500 21814521326121825 22160783569393600 23268822747863280 24238357029024250 24930881515567800 26592940283272320 27700979461742000 27922587297435936 29086028434829100 31025096997151040 31163601894459750 33241175354090400 34903234121794920 36357535543536375 37230116396581248 38781371246438800 39889410424908480 41551469192613000 43629042652243650 44321567138787200 46537645495726560 48476714058048500 49861763031135600 55401958923484000 55845174594871872 58172056869658200 62050193994302080 62327203788919500 66482350708180800 69806468243589840 72715071087072750 77562742492877600 79778820849816960 83102938385226000 87258085304487300 93075290991453120 96953428116097000 99723526062271200 109072606630609125 110803917846968000 111690349189743744 116344113739316400 124654407577839000 132964701416361600 139612936487179680 145430142174145500 155125484985755200 166205876770452000 174516170608974600 186150581982906240 193906856232194000 199447052124542400 218145213261218250 221607835693936000 232688227478632800 249308815155678000 279225872974359360 290860284348291000 310250969971510400 332411753540904000 349032341217949200 387813712464388000 398894104249084800 436290426522436500 465376454957265600 498617630311356000 558451745948718720 581720568696582000 664823507081808000 698064682435898400 775627424928776000 872580853044873000 930752909914531200 997235260622712000 1163441137393164000 1396129364871796800 1551254849857552000 1745161706089746000 1994470521245424000 2326882274786328000 2792258729743593600 3490323412179492000 4653764549572656000 6980646824358984000 13961293648717968000
- Sum of all divisors σ(n): 57306272172099425280
- Sum of proper divisors (its aliquot sum) s(n): 43344978523381457280
- 13961293648717968000 is an abundant number, because the sum of its proper divisors (43344978523381457280) is greater than itself. Its abundance is 29383684874663489280
Bases of 13961293648717968000
- Binary: 11000001110000000111101010011010011110001100000001110010100000002
- Hexadecimal: 0xC1C07A9A78C07280
- Base-36: 2Y2KHJZNYU1S0
Squares and roots of 13961293648717968000
- 13961293648717968000 squared (139612936487179680002) is 194917720345732672060250006049024000000
- 13961293648717968000 cubed (139612936487179680003) is 2721303531085462604182020477837953924142557663232000000000
-
The
square root of 13961293648717968000 is 3736481453.0140475461 -
The
cube root of 13961293648717968000 is 2407919.0756615509
Scales and comparisons
How big is 13961293648717968000?- 13,961,293,648,717,968,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,961,293,648,717,968,000 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 13961293648717968000 cubic inches would be around 200659.9 feet tall.
Recreational maths with 13961293648717968000
- 13961293648717968000 backwards is 00086971784639216931
- 13961293648717968000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13961293648717968000's digits is 90
- More coming soon!
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The information we have on file for 13961293648717968000 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 13961293648717968000, math, Factors of 13961293648717968000, curriculum, school, college, exams, university, Prime factorization of 13961293648717968000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, nine hundred sixty-one quadrillion, two hundred ninety-three trillion, six hundred forty-eight billion, seven hundred seventeen million, nine hundred sixty-eight thousand.