1313378904547710437090400
1,313,378,904,547,710,437,090,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 1313378904547710437090400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1260 divisors.
1313378904547710437090400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 1313378904547710437090400:
25 × 39 × 52 × 6616
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 661 × 661 × 661 × 661 × 661 × 661)See below for interesting mathematical facts about the number 1313378904547710437090400 from the Numbermatics database.
Names of 1313378904547710437090400
- Cardinal: 1313378904547710437090400 can be written as One septillion, three hundred thirteen sextillion, three hundred seventy-eight quintillion, nine hundred four quadrillion, five hundred forty-seven trillion, seven hundred ten billion, four hundred thirty-seven million, ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.3133789045477104370904 × 1024
Factors of 1313378904547710437090400
Divisors of 1313378904547710437090400
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 243 270 288 300 324 360 400 405 432 450 480 486 540 600 648 661 675 720 729 800 810 864 900 972 1080 1200 1215 1296 1322 1350 1440 1458 1620 1800 1944 1983 2025 2160 2187 2400 2430 2592 2644 2700 2916 3240 3305 3600 3645 3888 3966 4050 4320 4374 4860 5288 5400 5832 5949 6075 6480 6561 6610 7200 7290 7776 7932 8100 8748 9720 9915 10576 10800 10935 11664 11898 12150 12960 13122 13220 14580 15864 16200 16525 17496 17847 18225 19440 19683 19830 21152 21600 21870 23328 23796 24300 26244 26440 29160 29745 31728 32400 32805 33050 34992 35694 36450 38880 39366 39660 43740 47592 48600 49575 52488 52880 53541 54675 58320 59490 63456 64800 65610 66100 69984 71388 72900 78732 79320 87480 89235 95184 97200 98415 99150 104976 105760 107082 109350 116640 118980 131220 132200 142776 145800 148725 157464 158640 160623 164025 174960 178470 190368 194400 196830 198300 209952 214164 218700 237960 262440 264400 267705 285552 291600 297450 314928 317280 321246 328050 349920 356940 393660 396600 428328 436921 437400 446175 475920 481869 492075 524880 528800 535410 571104 583200 594900 629856 642492 656100 713880 787320 793200 803115 856656 873842 874800 892350 951840 963738 984150 1049760 1070820 1189800 1284984 1310763 1312200 1338525 1427760 1445607 1574640 1586400 1606230 1713312 1747684 1749600 1784700 1927476 1968300 2141640 2184605 2379600 2409345 2569968 2621526 2624400 2677050 2855520 2891214 3149280 3212460 3495368 3569400 3854952 3932289 3936600 4015575 4283280 4336821 4369210 4759200 4818690 5139936 5243052 5248800 5354100 5782428 6424920 6553815 6990736 7138800 7228035 7709904 7864578 7873200 8031150 8566560 8673642 8738420 9637380 10486104 10708200 10923025 11564856 11796867 12046725 12849840 13010463 13107630 13981472 14277600 14456070 15419808 15729156 15746400 16062300 17347284 17476840 19274760 19661445 20972208 21416400 21684105 21846050 23129712 23593734 24093450 25699680 26020926 26215260 28912140 31458312 32124600 32769075 34694568 34953680 35390601 36140175 38549520 39322890 41944416 42832800 43368210 43692100 46259424 47187468 48186900 52041852 52430520 57824280 58984335 62916624 64249200 65052315 65538150 69389136 69907360 70781202 72280350 77099040 78645780 86736420 87384200 94374936 96373800 98307225 104083704 104861040 106171803 108420525 115648560 117968670 125833248 128498400 130104630 131076300 138778272 141562404 144560700 157291560 173472840 174768400 176953005 188749872 192747600 196614450 208167408 209722080 212343606 216841050 231297120 235937340 260209260 262152600 283124808 288804781 289121400 294921675 314583120 318515409 325261575 346945680 349536800 353906010 377499744 385495200 393228900 416334816 424687212 433682100 471874680 520418520 524305200 530859015 566249616 577609562 578242800 589843350 629166240 637030818 650523150 693891360 707812020 786457800 849374424 866414343 867364200 884765025 943749360 955546227 1040837040 1048610400 1061718030 1132499232 1155219124 1156485600 1179686700 1274061636 1301046300 1415624040 1444023905 1572915600 1592577045 1698748848 1732828686 1734728400 1769530050 1887498720 1911092454 2081674080 2123436060 2310438248 2359373400 2548123272 2599243029 2602092600 2654295075 2831248080 2866638681 2888047810 3145831200 3185154090 3397497696 3465657372 3469456800 3539060100 3822184908 4246872120 4332071715 4620876496 4718746800 4777731135 5096246544 5198486058 5204185200 5308590150 5662496160 5733277362 5776095620 6370308180 6931314744 7078120200 7220119525 7644369816 7797729087 7962885225 8493744240 8599916043 8664143430 9241752992 9437493600 9555462270 10192493088 10396972116 10408370400 10617180300 11466554724 11552191240 12740616360 12996215145 13862629488 14156240400 14333193405 14440239050 15288739632 15595458174 15925770450 16987488480 17199832086 17328286860 19110924540 20793944232 21234360600 21660358575 22933109448 23104382480 23393187261 23888655675 25481232720 25992430290 27725258976 28312480800 28666386810 28880478100 30577479264 31190916348 31851540900 34399664172 34656573720 38221849080 38988645435 41587888464 42468721200 42999580215 43320717150 45866218896 46208764960 46786374522 47777311350 50962465440 51984860580 57332773620 57760956200 62381832696 63703081800 64981075725 68799328344 69313147440 70179561783 71665967025 76443698160 77977290870 83175776928 84937442400 85999160430 86641434300 91732437792 93572749044 95554622700 103969721160 114665547240 115521912400 116965936305 124763665392 127406163600 129962151450 137598656688 138626294880 140359123566 143331934050 152887396320 155954581740 171998320860 173282868600 187145498088 190899960241 191109245400 194943227175 207939442320 210538685349 214997901075 229331094480 231043824800 233931872610 249527330784 254812327200 259924302900 275197313376 280718247132 286663868100 311909163480 343996641720 346565737200 350897808915 374290996176 381799920482 382218490800 389886454350 415878884640 421077370698 429995802150 458662188960 467863745220 519848605800 561436494264 572699880723 573327736200 584829681525 623818326960 631616056047 687993283440 693131474400 701795617830 748581992352 763599840964 764436981600 779772908700 842154741396 859991604300 935727490440 954499801205 1039697211600 1052693426745 1122872988528 1145399761446 1146655472400 1169659363050 1247636653920 1263232112094 1375986566880 1403591235660 1527199681928 1559545817400 1684309482792 1718099642169 1719983208600 1754489044575 1871454980880 1894848168141 1908999602410 2079394423200 2105386853490 2245745977056 2290799522892 2293310944800 2339318726100 2526464224188 2807182471320 2863499403615 3054399363856 3119091634800 3158080280235 3368618965584 3436199284338 3439966417200 3508978089150 3742909961760 3789696336282 3817999204820 4210773706980 4581599045784 4678637452200 4772499006025 5052928448376 5154298926507 5263467133725 5614364942640 5684544504423 5726998807230 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1839775458827408580 2001796836682991064 2044194954252676200 2085205038211449025 2207730550592890296 2252021441268364947 2299719323534260725 2453033945103211440 2483696869417001583 2502246045853738830 2669062448910654752 2725593272336901600 2759663188241112870 2943640734123853728 3002695255024486596 3005987133938882400 3066292431379014300 3311595825889335444 3336328061138318440 3679550917654817160 3753369068780608245 4003593673365982128 4088389908505352400 4139494782361669305 4170410076422898050 4415461101185780592 4504042882536729894 4599438647068521450 4906067890206422880 4967393738834003166 5004492091707477660 5519326376482225740 6005390510048973192 6132584862758028600 6255615114634347075 6623191651778670888 6672656122276636880 6756064323805094841 6899157970602782175 7359101835309634320 7506738137561216490 8007187346731964256 8176779817010704800 8278989564723338610 8340820152845796100 8830922202371561184 9008085765073459788 9198877294137042900 9934787477668006332 10008984183414955320 11038652752964451480 11260107206341824735 12010781020097946384 12265169725516057200 12418484347085007915 12511230229268694150 13246383303557341776 13345312244553273760 13512128647610189682 13798315941205564350 14718203670619268640 15013476275122432980 16557979129446677220 16681640305691592200 18016171530146919576 18397754588274085800 18766845343903041225 19869574955336012664 20017968366829910640 20268192971415284523 20697473911808346525 22077305505928902960 22520214412683649470 24021562040195892768 24530339451032114400 24836968694170015830 25022460458537388300 26492766607114683552 27024257295220379364 27596631882411128700 30026952550244865960 33115958258893354440 33363280611383184400 33780321619025474205 36032343060293839152 36795509176548171600 37533690687806082450 39739149910672025328 40035936733659821280 40536385942830569046 41394947823616693050 44154611011857805920 45040428825367298940 49673937388340031660 50044920917074776600 54048514590440758728 55193263764822257400 56300536031709123675 60053905100489731920 60804578914245853569 62092421735425039575 66231916517786708880 66726561222766368800 67560643238050948410 72064686120587678304 73591018353096343200 75067381375612164900 79478299821344050656 81072771885661138092 82789895647233386100 90080857650734597880 99347874776680063320 100089841834149553200 101340964857076422615 108097029180881517456 110386527529644514800 112601072063418247350 120107810200979463840 121609157828491707138 124184843470850079150 132463833035573417760 135121286476101896820 150134762751224329800 162145543771322276184 165579791294466772200 168901608095127371025 180161715301469195760 182413736742737560707 198695749553360126640 200179683668299106400 202681929714152845230 216194058361763034912 220773055059289029600 225202144126836494700 243218315656983414276 248369686941700158300 270242572952203793640 300269525502448659600 304022894571229267845 324291087542644552368 331159582588933544400 337803216190254742050 360323430602938391520 364827473485475121414 397391499106720253280 405363859428305690460 450404288253672989400 486436631313966828552 496739373883400316600 506704824285382113075 540485145904407587280 547241210228212682121 600539051004897319200 608045789142458535690 648582175085289104736 662319165177867088800 675606432380509484100 729654946970950242828 810727718856611380920 900808576507345978800 912068683713687803535 972873262627933657104 993478747766800633200 1013409648570764226150 1080970291808815174560 1094482420456425364242 1216091578284917071380 1351212864761018968200 1459309893941900485656 1520114472856146339225 1621455437713222761840 1641723630684638046363 1801617153014691957600 1824137367427375607070 1945746525255867314208 1986957495533601266400 2026819297141528452300 2188964840912850728484 2432183156569834142760 2702425729522037936400 2736206051141063410605 2918619787883800971312 3040228945712292678450 3242910875426445523680 3283447261369276092726 3648274734854751214140 4053638594283056904600 4377929681825701456968 4560343418568439017675 4864366313139668285520 5404851459044075872800 5472412102282126821210 5837239575767601942624 6080457891424585356900 6566894522738552185452 7296549469709502428280 8107277188566113809200 8208618153423190231815 8755859363651402913936 9120686837136878035350 9728732626279336571040 10944824204564253642420 12160915782849170713800 13133789045477104370904 13681030255705317053025 14593098939419004856560 16214554377132227618400 16417236306846380463630 17511718727302805827872 18241373674273756070700 21889648409128507284840 24321831565698341427600 26267578090954208741808 27362060511410634106050 29186197878838009713120 32834472613692760927260 36482747348547512141400 41043090767115951159075 43779296818257014569680 48643663131396682855200 52535156181908417483616 54724121022821268212100 65668945227385521854520 72965494697095024282800 82086181534231902318150 87558593636514029139360 109448242045642536424200 131337890454771043709040 145930989394190048565600 164172363068463804636300 218896484091285072848400 262675780909542087418080 328344726136927609272600 437792968182570145696800 656689452273855218545200 1313378904547710437090400
- Sum of all divisors σ(n): 4816634818781827124530524
- Sum of proper divisors (its aliquot sum) s(n): 3503255914234116687440124
- 1313378904547710437090400 is an abundant number, because the sum of its proper divisors (3503255914234116687440124) is greater than itself. Its abundance is 2189877009686406250349724
Bases of 1313378904547710437090400
- Binary: 1000101100001111001101001101111111010001001111001100111110100011011100100011000002
- Hexadecimal: 0x1161E69BFA2799F46E460
- Base-36: 5XVET6TF66A0DI00
Squares and roots of 1313378904547710437090400
- 1313378904547710437090400 squared (13133789045477104370904002) is 1724964146910943883450287724740957016017772160000
- 1313378904547710437090400 cubed (13133789045477104370904003) is 2265531521653971330121304663772715294166043333380405143768040523264000000
-
The
square root of 1313378904547710437090400 is 1146027444936.5121714369 -
The
cube root of 1313378904547710437090400 is 109512412.2776301641 - Being both a perfect square and a perfect cube, 1313378904547710437090400 is also a
perfect sixth number .
Scales and comparisons
How big is 1313378904547710437090400?- 1,313,378,904,547,710,437,090,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 1,313,378,904,547,710,437,090,400 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 1313378904547710437090400 cubic inches would be around 9126034.4 feet tall.
Recreational maths with 1313378904547710437090400
- 1313378904547710437090400 backwards is 0040907340177454098733131
- 1313378904547710437090400 is a
Harshad number . - The number of decimal digits it has is: 25
- The sum of 1313378904547710437090400's digits is 90
- More coming soon!
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"Number 1313378904547710437090400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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The information we have on file for 1313378904547710437090400 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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