13135768716607680
13,135,768,716,607,680 is an even composite number composed of eight prime numbers multiplied together.
13135768716607680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 13135768716607680:
26 × 3 × 5 × 112 × 13 × 31 × 701 × 400291
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 31 × 701 × 400291)See below for interesting mathematical facts about the number 13135768716607680 from the Numbermatics database.
Names of 13135768716607680
- Cardinal: 13135768716607680 can be written as Thirteen quadrillion, one hundred thirty-five trillion, seven hundred sixty-eight billion, seven hundred sixteen million, six hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.313576871660768 × 1016
Factors of 13135768716607680
Divisors of 13135768716607680
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 31 32 33 39 40 44 48 52 55 60 62 64 65 66 78 80 88 93 96 104 110 120 121 124 130 132 143 155 156 160 165 176 186 192 195 208 220 240 242 248 260 264 286 310 312 320 330 341 352 363 372 390 403 416 429 440 465 480 484 496 520 528 572 605 620 624 660 682 701 704 715 726 744 780 806 832 858 880 930 960 968 992 1023 1040 1056 1144 1209 1210 1240 1248 1320 1364 1402 1430 1452 1488 1560 1573 1612 1705 1716 1760 1815 1860 1936 1984 2015 2046 2080 2103 2112 2145 2288 2418 2420 2480 2496 2640 2728 2804 2860 2904 2976 3120 3146 3224 3410 3432 3505 3520 3630 3720 3751 3872 4030 4092 4160 4206 4290 4433 4576 4719 4836 4840 4960 5115 5280 5456 5608 5720 5808 5952 6045 6240 6292 6448 6820 6864 7010 7260 7440 7502 7711 7744 7865 8060 8184 8412 8580 8866 9113 9152 9438 9672 9680 9920 10230 10515 10560 10912 11216 11253 11440 11616 12090 12480 12584 12896 13299 13640 13728 14020 14520 14880 15004 15422 15730 16120 16368 16824 17160 17732 18226 18755 18876 19344 19360 20460 21030 21731 21824 22165 22432 22506 22880 23133 23232 23595 24180 25168 25792 26598 27280 27339 27456 28040 29040 29760 30008 30844 31460 32240 32736 33648 34320 35464 36452 37510 37752 38555 38688 38720 40920 42060 43462 44330 44864 45012 45565 45760 46266 47190 48360 48763 50336 53196 54560 54678 56080 56265 58080 60016 61688 62920 64480 65193 65472 66495 67296 68640 70928 72904 75020 75504 77110 77376 81840 84120 84821 86924 88660 90024 91130 92532 94380 96720 97526 100243 100672 106392 108655 109120 109356 112160 112530 115665 116160 120032 123376 125840 128960 130386 132990 134592 136695 137280 141856 145808 146289 150040 151008 154220 163680 168240 169642 173848 177320 180048 182260 185064 188760 193440 195052 200486 212784 217310 218712 224320 225060 231330 239041 240064 243815 246752 251680 254463 260772 265980 273390 282503 283712 291616 292578 300080 300729 302016 308440 325965 327360 336480 339284 347696 354640 360096 364520 370128 377520 386880 390104 400291 400972 424105 425568 434620 437424 450120 462660 478082 487630 493504 501215 503360 508926 521544 531960 546780 565006 583232 585156 600160 601458 616880 651930 672960 678568 695392 709280 717123 720192 729040 731445 740256 755040 780208 800582 801944 847509 848210 851136 869240 874848 900240 925320 956164 975260 1002430 1017852 1043088 1063920 1093560 1102673 1130012 1170312 1195205 1200320 1200873 1202916 1233760 1272315 1303860 1357136 1390784 1412515 1418560 1434246 1458080 1462890 1480512 1503645 1510080 1560416 1601164 1603888 1695018 1696420 1738480 1749696 1800480 1850640 1912328 1950520 2001455 2004860 2035704 2086176 2127840 2187120 2205346 2260024 2340624 2390410 2401746 2405832 2467520 2544630 2607720 2629451 2714272 2825030 2868492 2916160 2925780 3007290 3107533 3120832 3202328 3207776 3308019 3390036 3392840 3476960 3585615 3600960 3701280 3824656 3901040 4002910 4009720 4071408 4172352 4237545 4255680 4374240 4403201 4410692 4520048 4681248 4780820 4803492 4811664 5089260 5203783 5215440 5258902 5428544 5513365 5650060 5736984 5851560 6004365 6014580 6215066 6404656 6415552 6616038 6780072 6785680 6953920 7171230 7402560 7649312 7802080 7888353 8005820 8019440 8142816 8475090 8748480 8806402 8821384 9040096 9322599 9362496 9561640 9606984 9623328 10178520 10407566 10430880 10517804 11026730 11300120 11473968 11703120 12008730 12029160 12409021 12430132 12809312 13147255 13209603 13232076 13560144 13571360 14342460 15298624 15537665 15604160 15611349 15776706 16011640 16038880 16285632 16540095 16950180 17612804 17642768 18080192 18645198 19123280 19213968 19246656 20357040 20815132 20861760 21035608 22016005 22053460 22600240 22947936 23406240 24017460 24058320 24818042 24860264 25618624 26018915 26294510 26419206 26464152 27120288 27142720 28684920 31075330 31222698 31553412 32023280 32077760 33080190 33900360 34182863 35225608 35285536 37227063 37290396 38246560 38427936 39441765 40714080 41630264 42071216 44032010 44106920 45200480 45895872 46612995 46812480 48034920 48116640 48435211 49636084 49720528 52037830 52589020 52838412 52928304 54240576 57241613 57369840 62045105 62150660 62445396 63106824 64046560 66048015 66160380 67800720 68365726 70451216 70571072 74454126 74580792 76493120 76855872 78056745 78883530 81428160 83260528 84142432 88064020 88213840 90400960 93225990 96069840 96233280 96870422 99272168 99441056 102548589 104075660 105178040 105676824 105856608 114483226 114739680 124090210 124301320 124890792 126213648 128093120 132096030 132320760 135601440 136499231 136731452 140902432 145305633 148908252 149161584 156113490 157767060 161317273 166521056 168284864 170914315 171724839 176128040 176427680 186135315 186451980 192139680 193740844 198544336 198882112 205097178 208151320 210356080 211353648 211713216 228966452 229479360 242176055 248180420 248602640 249781584 252427296 264192060 264641520 271202880 272998462 273462904 280603991 281804864 286208065 290611266 297816504 298323168 312226980 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10990389696 11224159640 11624450640 11912660160 12011932328 12346575604 12593154860 12905381840 13103926176 13468991568 13737987120 14195920024 14591407532 15014915410 15111785832 15433219505 15486458208 15499267520 16379907720 16407774240 16836239460 17397447442 17744900030 17958655424 18017898492 18239259415 18317316160 18519863406 18889732290 19358072760 19519390033 20149047776 21293880036 21839876960 21887111298 22448319280 22522373115 23248901280 24023864656 24693151208 25186309720 25810763680 26096171163 26207852352 26617350045 26937983136 27475974240 28391840048 29182815064 30029830820 30223571664 30866439010 30972916416 32759815440 32815548480 33672478920 33953082911 34794894884 35489800060 36035796984 36478518830 37039726812 37779464580 38716145520 39038780066 40126370713 40298095552 42587760072 43493618605 43679753920 43774222596 44896638560 45044746230 46299658515 46497802560 48047729312 49386302416 50372619440 51621527360 52192342326 53234700090 53875966272 54717778245 54951948480 56783680096 58365630128 58558170099 60059661640 60447143328 61732878020 65519630880 67344957840 67906165822 69589789768 70979600120 72071593968 72957037660 74079453624 75558929160 77432291040 78077560132 80252741426 85175520144 86987237210 87548445192 89793277120 90089492460 92599317030 95685960931 96095458624 97596950165 98772604832 100745238880 101859248733 104384684652 106469400180 109435556490 113083408373 113567360192 116731260256 117116340198 120119323280 120379112139 120894286656 123465756040 130480855815 131039261760 134689915680 135812331644 139179579536 141959200240 144143187936 145914075320 148158907248 151117858320 154864582080 156155120264 160505482852 169765414555 170351040288 173974474420 175096890384 180178984920 185198634060 191371921862 195193900330 197545209664 200631853565 201490477760 203718497466 208769369304 212938800360 218871112980 226166816746 233462520512 234232680396 240238646560 240758224278 246931512080 260961711630 269379831360 271624663288 278359159072 283918400480 287057882793 288286375872 291828150640 292790850495 296317814496 302235716640 312310240528 321010965704 339250225119 339530829110 340702080576 347948948840 350193780768 360357969840 370397268120 382743843724 390387800660 401263707130 407436994932 417538738608 425877600720 437742225960 441390077843 452333633492 468465360792 478429804655 480477293120 481516448556 493863024160 509296243665 521923423260 543249326576 556718318144 565417041865 567836800960 574115765586 583656301280 585581700990 592635628992 601895560695 604471433280 624620481056 642021931408 678500450238 679061658220 695897897680 700387561536 720715939680 740794536240 765487687448 780775601320 802527414260 814873989864 835077477216 851755201440 875484451920 882780155686 904667266984 936930721584 956859609310 963032897112 987726048320 1018592487330 1043846846520 1052545570241 1086498653152 1130834083730 1148231531172 1167312602560 1171163401980 1203791121390 1243917492103 1249240962112 1284043862816 1324170233529 1357000900476 1358123316440 1391795795360 1435289413965 1441431879360 1481589072480 1530975374896 1561551202640 1605054828520 1629747979728 1670154954432 1696251125595 1703510402880 1750968903840 1765560311372 1809334533968 1873861443168 1913719218620 1926065794224 2037184974660 2087693693040 2105091140482 2172997306304 2206950389215 2261668167460 2296463062344 2342326803960 2407582242780 2487834984206 2568087725632 2648340467058 2714001800952 2716246632880 2783591590720 2870578827930 2963178144960 3061950749792 3123102405280 3157636710723 3210109657040 3259495959456 3392502251190 3501937807680 3531120622744 3618669067936 3731752476309 3747722886336 3827438437240 3852131588448 4074369949320 4175387386080 4210182280964 4413900778430 4523336334920 4592926124688 4684653607920 4815164485560 4975669968412 5262727851205 5296680934116 5428003601904 5432493265760 5741157655860 6123901499584 6219587460515 6246204810560 6315273421446 6420219314080 6518991918912 6620851167645 6785004502380 7062241245488 7237338135872 7463504952618 7654876874480 7704263176896 8148739898640 8350774772160 8420364561928 8827801556860 9046672669840 9185852249376 9369307215840 9630328971120 9951339936824 10525455702410 10593361868232 10856007203808 10864986531520 11482315311720 12439174921030 12630546842892 12840438628160 13241702335290 13570009004760 13683092413133 14124482490976 14927009905236 15309753748960 15788183553615 16297479797280 16840729123856 17655603113720 18093345339680 18371704498752 18658762381545 18738614431680 19260657942240 19902679873648 21050911404820 21186723736464 21712014407616 22964630623440 24878349842060 25261093685784 26483404670580 27140018009520 27366184826266 28248964981952 29854019810472 30619507497920 31576367107230 32594959594560 33681458247712 35311206227440 36186690679360 37317524763090 38521315884480 39805359747296 41049277239399 42101822809640 42373447472928 45929261246880 49756699684120 50522187371568 52966809341160 54280036019040 54732369652532 59708039620944 63152734214460 67362916495424 68415462065665 70622412454880 74635049526180 79610719494592 82098554478798 84203645619280 84746894945856 91858522493760 99513399368240 101044374743136 105933618682320 108560072038080 109464739305064 119416079241888 126305468428920 136830924131330 141244824909760 149270099052360 164197108957596 168407291238560 199026798736480 202088749486272 205246386196995 211867237364640 218929478610128 238832158483776 252610936857840 273661848262660 298540198104720 328394217915192 336814582477120 398053597472960 410492772393990 423734474729280 437858957220256 505221873715680 547323696525320 597080396209440 656788435830384 820985544787980 875717914440512 1010443747431360 1094647393050640 1194160792418880 1313576871660768 1641971089575960 2189294786101280 2627153743321536 3283942179151920 4378589572202560 6567884358303840 13135768716607680
- Sum of all divisors σ(n): 51033886146367488
- Sum of proper divisors (its aliquot sum) s(n): 37898117429759808
- 13135768716607680 is an abundant number, because the sum of its proper divisors (37898117429759808) is greater than itself. Its abundance is 24762348713152128
Bases of 13135768716607680
- Binary: 1011101010101011101001011111000011010010000000110000002
- Hexadecimal: 0x2EAAE97C3480C0
- Base-36: 3LC8OUADC5C
Squares and roots of 13135768716607680
- 13135768716607680 squared (131357687166076802) is 172548419776208976523047034982400
- 13135768716607680 cubed (131357687166076803) is 2266556134596415818619426365971892752816504832000
-
The
square root of 13135768716607680 is 114611381.2699580023 -
The
cube root of 13135768716607680 is 235949.1937733277
Scales and comparisons
How big is 13135768716607680?- 13,135,768,716,607,680 seconds is equal to 417,676,813 years, 30 weeks, 3 days, 22 hours, 8 minutes.
-
To count from 1 to 13,135,768,716,607,680 would take you about one billion, two hundred fifty-three million, thirty thousand, four hundred forty 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 13135768716607680 cubic inches would be around 19662.4 feet tall.
Recreational maths with 13135768716607680
- 13135768716607680 backwards is 08670661786753131
- The number of decimal digits it has is: 17
- The sum of 13135768716607680's digits is 75
- More coming soon!
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"Number 13135768716607680 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13135768716607680 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13135768716607680/
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The information we have on file for 13135768716607680 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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