13401940731762398400
13,401,940,731,762,398,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13401940731762398400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
13401940731762398400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13401940731762398400:
26 × 33 × 52 × 13 × 612 × 6413290669
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 61 × 61 × 6413290669)See below for interesting mathematical facts about the number 13401940731762398400 from the Numbermatics database.
Names of 13401940731762398400
- Cardinal: 13401940731762398400 can be written as Thirteen quintillion, four hundred one quadrillion, nine hundred forty trillion, seven hundred thirty-one billion, seven hundred sixty-two million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.34019407317623984 × 1019
Factors of 13401940731762398400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 6413290753
Divisors of 13401940731762398400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 61 64 65 72 75 78 80 90 96 100 104 108 117 120 122 130 135 144 150 156 160 180 183 192 195 200 208 216 225 234 240 244 260 270 288 300 305 312 320 325 351 360 366 390 400 416 432 450 468 480 488 520 540 549 576 585 600 610 624 650 675 702 720 732 780 793 800 832 864 900 915 936 960 975 976 1040 1080 1098 1170 1200 1220 1248 1300 1350 1404 1440 1464 1525 1560 1586 1600 1647 1728 1755 1800 1830 1872 1950 1952 2080 2160 2196 2340 2379 2400 2440 2496 2600 2700 2745 2808 2880 2925 2928 3050 3120 3172 3294 3510 3600 3660 3721 3744 3900 3904 3965 4160 4320 4392 4575 4680 4758 4800 4880 5200 5400 5490 5616 5850 5856 6100 6240 6344 6588 7020 7137 7200 7320 7442 7488 7800 7930 8235 8640 8775 8784 9150 9360 9516 9760 10400 10800 10980 11163 11232 11700 11712 11895 12200 12480 12688 13176 13725 14040 14274 14400 14640 14884 15600 15860 16470 17550 17568 18300 18605 18720 19032 19520 19825 20800 21411 21600 21960 22326 22464 23400 23790 24400 25376 26352 27450 28080 28548 29280 29768 31200 31720 32940 33489 35100 35136 35685 36600 37210 37440 38064 39650 41175 42822 43200 43920 44652 46800 47580 48373 48800 50752 52704 54900 55815 56160 57096 58560 59475 59536 62400 63440 65880 66978 70200 71370 73200 74420 76128 79300 82350 85644 87840 89304 93025 93600 95160 96746 97600 100467 105408 107055 109800 111630 112320 114192 118950 119072 126880 131760 133956 140400 142740 145119 146400 148840 152256 158600 164700 167445 171288 175680 178425 178608 186050 187200 190320 193492 200934 214110 219600 223260 228384 237900 238144 241865 253760 263520 267912 279075 280800 285480 290238 292800 297680 317200 329400 334890 342576 356850 357216 372100 380640 386984 401868 428220 435357 439200 446520 456768 475800 483730 502335 527040 535275 535824 558150 561600 570960 580476 595360 634400 658800 669780 685152 713700 714432 725595 744200 761280 773968 803736 837225 856440 870714 878400 893040 951600 967460 1004670 1070550 1071648 1116300 1141920 1160952 1190720 1209325 1268800 1306071 1317600 1339560 1370304 1427400 1451190 1488400 1547936 1607472 1674450 1712880 1741428 1786080 1903200 1934920 2009340 2141100 2143296 2176785 2232600 2283840 2321904 2418650 2511675 2612142 2635200 2679120 2854800 2902380 2976800 3095872 3214944 3348900 3425760 3482856 3572160 3627975 3806400 3869840 4018680 4282200 4353570 4465200 4643808 4837300 5023350 5224284 5358240 5709600 5804760 5953600 6429888 6530355 6697800 6851520 6965712 7255950 7739680 8037360 8564400 8707140 8930400 9287616 9674600 10046700 10448568 10716480 10883925 11419200 11609520 13060710 13395600 13931424 14511900 15479360 16074720 17128800 17414280 17860800 19349200 20093400 20897136 21767850 23219040 26121420 26791200 27862848 29023800 32149440 32651775 34257600 34828560 38698400 40186800 41794272 43535700 46438080 52242840 53582400 58047600 65303550 69657120 77396800 80373600 83588544 87071400 104485680 116095200 130607100 139314240 160747200 174142800 208971360 232190400 261214200 348285600 417942720 522428400 696571200 1044856800 2089713600 6413290669 12826581338 19239872007 25653162676 32066453345 38479744014 51306325352 57719616021 64132906690 76959488028 83372778697 96199360035 102612650704 115439232042 128265813380 153918976056 160332266725 166745557394 173158848063 192398720070 205225301408 230878464084 250118336091 256531626760 288598080105 307837952112 320664533450 333491114788 346317696126 384797440140 391210730809 410450602816 416863893485 461756928168 480996800175 500236672182 513063253520 577196160210 615675904224 641329066900 666982229576 692635392252 750355008273 769594880280 782421461618 833727786970 865794240315 923513856336 961993600350 1000473344364 1026126507040 1154392320420 1173632192427 1231351808448 1250591680455 1282658133800 1333964459152 1385270784504 1442990400525 1500710016546 1539189760560 1564842923236 1667455573940 1731588480630 1847027712672 1923987200700 1956053654045 2000946688728 2052253014080 2084319467425 2251065024819 2308784640840 2347264384854 2501183360910 2565316267600 2667928918304 2770541569008 2885980801050 3001420033092 3078379521120 3129685846472 3334911147880 3463176961260 3520896577281 3694055425344 3751775041365 3847974401400 3912107308090 4001893377456 4168638934850 4328971201575 4502130049638 4617569281680 4694528769708 5002366721820 5085739500517 5130632535200 5335857836608 5541083138016 5771961602100 5868160962135 6002840066184 6156759042240 6252958402275 6259371692944 6669822295760 6926353922520 7041793154562 7503550082730 7695948802800 7824214616180 8003786754912 8337277869700 8657942403150 9004260099276 9235138563360 9389057539416 9780268270225 10004733443640 10171479001034 10261265070400 10562689731843 11082166276032 11255325124095 11543923204200 11736321924270 12005680132368 12505916804550 12518743385888 13339644591520 13852707845040 14083586309124 15007100165460 15257218501551 15391897605600 15648429232360 16007573509824 16674555739400 17315884806300 17604482886405 18008520198552 18470277126720 18758875206825 18778115078832 19560536540450 20009466887280 20342958002068 21125379463686 22510650248190 23087846408400 23472643848540 23863854579349 24011360264736 25011833609100 25037486771776 25428697502585 26679289183040 27705415690080 28167172618248 29340804810675 30014200330920 30514437003102 30783795211200 31296858464720 33349111478800 34631769612600 35208965772810 36017040397104 37517750413650 37556230157664 39121073080900 40018933774560 40685916004136 42250758927372 45021300496380 45771655504653 46175692816800 46945287697080 47727709158698 48022720529472 50023667218200 50857395005170 52813448659215 55410831380160 56276625620475 56334345236496 58681609621350 60028400661840 61028874006204 62593716929440 66698222957600 69263539225200 70417931545620 71591563738047 72034080794208 75035500827300 75112460315328 76286092507755 78242146161800 80037867549120 81371832008272 84501517854744 88022414432025 90042600992760 91543311009306 92351385633600 93890575394160 95455418317396 100047334436400 101714790010340 105626897318430 112553251240950 112668690472992 117363219242700 119319272896745 120056801323680 122057748012408 125187433858880 127143487512925 133396445915200 137314966513959 138527078450400 140835863091240 143183127476094 144068161588416 150071001654600 152572185015510 156484292323600 162743664016544 169003035709488 176044828864050 180085201985520 183086622018612 187781150788320 190910836634792 200094668872800 203429580020680 211253794636860 214774691214141 225106502481900 225337380945984 228858277523265 234726438485400 238638545793490 240113602647360 244115496024816 254286975025850 264067243296075 274629933027918 277054156900800 281671726182480 286366254952188 300142003309200 305144370031020 310230109531537 312968584647200 325487328033088 338006071418976 352089657728100 357957818690235 360170403971040 366173244037224 375562301576640 381430462538775 381821673269584 400189337745600 406859160041360 422507589273720 429549382428282 450213004963800 457716555046530 469452876970800 477277091586980 488230992049632 508573950051700 528134486592150 549259866055836 563343452364960 572732509904376 596596364483725 600284006618400 610288740062040 620460219063074 625937169294400 644324073642423 676012142837952 686574832569795 704179315456200 715915637380470 720340807942080 732346488074448 762860925077550 763643346539168 813718320082720 845015178547440 859098764856564 900426009927600 915433110093060 930690328594611 938905753941600 954554183173960 976461984099264 1017147900103400 1056268973184300 1073873456070705 1098519732111672 1126686904729920 1144291387616325 1145465019808752 1193192728967450 1200568013236800 1220577480124080 1240920438126148 1288648147284846 1373149665139590 1408358630912400 1431831274760940 1464692976148896 1525721850155100 1527286693078336 1551150547657685 1627436640165440 1690030357094880 1718197529713128 1789789093451175 1800852019855200 1830866220186120 1861380657189222 1877811507883200 1909108366347920 2034295800206800 2112537946368600 2147746912141410 2197039464223344 2288582775232650 2290930039617504 2386385457934900 2441154960248160 2481840876252296 2577296294569692 2746299330279180 2792070985783833 2816717261824800 2863662549521880 2929385952297792 3051443700310200 3102301095315370 3221620368212115 3380060714189760 3432874162848975 3436395059426256 3579578186902350 3601704039710400 3661732440372240 3722761314378444 3818216732695840 4068591600413600 4225075892737200 4295493824282820 4394078928446688 4577165550465300 4581860079235008 4653451642973055 4772770915869800 4882309920496320 4963681752504592 5154592589139384 5369367280353525 5492598660558360 5584141971567666 5633434523649600 5727325099043760 6102887400620400 6204602190630740 6443240736424230 6865748325697950 6872790118852512 7159156373804700 7323464880744480 7445522628756888 7636433465391680 7755752738288425 8137183200827200 8376212957351499 8450151785474400 8590987648565640 8788157856893376 9154331100930600 9306903285946110 9545541831739600 9927363505009184 10309185178278768 10738734560707050 10985197321116720 11168283943135332 11454650198087520 12205774801240800 12409204381261480 12886481472848460 13731496651395900 13745580237705024 13960354928919165 14318312747609400 14646929761488960 14891045257513776 15511505476576850 16108101841060575 16752425914702998 16900303570948800 17181975297131280 18308662201861200 18613806571892220 19091083663479200 19854727010018368 20618370356557536 21477469121414100 21970394642233440 22336567886270664 22909300396175040 23267258214865275 24411549602481600 24818408762522960 25772962945696920 27462993302791800 27920709857838330 28636625495218800 29782090515027552 31023010953153700 32216203682121150 33504851829405996 34363950594262560 36617324403722400 37227613143784440 38182167326958400 41236740713115072 41881064786757495 42954938242828200 43940789284466880 44673135772541328 46534516429730550 49636817525045920 51545925891393840 54925986605583600 55841419715676660 57273250990437600 59564181030055104 62046021906307400 64432407364242300 67009703658811992 68727901188525120 69801774644595825 73234648807444800 74455226287568880 83762129573514990 85909876485656400 89346271545082656 93069032859461100 99273635050091840 103091851782787680 109851973211167200 111682839431353320 114546501980875200 124092043812614800 128864814728484600 134019407317623984 139603549289191650 148910452575137760 167524259147029980 171819752971312800 178692543090165312 186138065718922200 206183703565575360 209405323933787475 219703946422334400 223365678862706640 248184087625229600 257729629456969200 268038814635247968 279207098578383300 297820905150275520 335048518294059960 343639505942625600 372276131437844400 418810647867574950 446731357725413280 496368175250459200 515459258913938400 536077629270495936 558414197156766600 670097036588119920 744552262875688800 837621295735149900 893462715450826560 1030918517827876800 1116828394313533200 1340194073176239840 1489104525751377600 1675242591470299800 2233656788627066400 2680388146352479680 3350485182940599600 4467313577254132800 6700970365881199200 13401940731762398400
- Sum of all divisors σ(n): 53489767109155759200
- Sum of proper divisors (its aliquot sum) s(n): 40087826377393360800
- 13401940731762398400 is an abundant number, because the sum of its proper divisors (40087826377393360800) is greater than itself. Its abundance is 26685885645630962400
Bases of 13401940731762398400
- Binary: 10111001111111010100001000010110110010011000100101010100110000002
- Hexadecimal: 0xB9FD4216C98954C0
- Base-36: 2TTKVHT17TTC0
Squares and roots of 13401940731762398400
- 13401940731762398400 squared (134019407317623984002) is 179612015377672050701999712120322560000
- 13401940731762398400 cubed (134019407317623984003) is 2407149584803957317408139652195548747043185887227904000000
-
The
square root of 13401940731762398400 is 3660866117.7052621627 -
The
cube root of 13401940731762398400 is 2375322.4002152751
Scales and comparisons
How big is 13401940731762398400?- 13,401,940,731,762,398,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,401,940,731,762,398,400 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 13401940731762398400 cubic inches would be around 197943.5 feet tall.
Recreational maths with 13401940731762398400
- 13401940731762398400 backwards is 00489326713704910431
- 13401940731762398400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13401940731762398400's digits is 72
- More coming soon!
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"Number 13401940731762398400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 13401940731762398400 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/13401940731762398400/
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The information we have on file for 13401940731762398400 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 13401940731762398400, math, Factors of 13401940731762398400, curriculum, school, college, exams, university, Prime factorization of 13401940731762398400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, four hundred one quadrillion, nine hundred forty trillion, seven hundred thirty-one billion, seven hundred sixty-two million, three hundred ninety-eight thousand, four hundred.