13680669993706350
13,680,669,993,706,350 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13680669993706350 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1944 divisors.
13680669993706350 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13680669993706350:
2 × 32 × 52 × 192 × 31 × 612 × 732 × 137
(2 × 3 × 3 × 5 × 5 × 19 × 19 × 31 × 61 × 61 × 73 × 73 × 137)See below for interesting mathematical facts about the number 13680669993706350 from the Numbermatics database.
Names of 13680669993706350
- Cardinal: 13680669993706350 can be written as Thirteen quadrillion, six hundred eighty trillion, six hundred sixty-nine billion, nine hundred ninety-three million, seven hundred six thousand, three hundred fifty.
Scientific notation
- Scientific notation: 1.368066999370635 × 1016
Factors of 13680669993706350
Divisors of 13680669993706350
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 5 6 9 10 15 18 19 25 30 31 38 45 50 57 61 62 73 75 90 93 95 114 122 137 146 150 155 171 183 186 190 219 225 274 279 285 305 310 342 361 365 366 411 438 450 465 475 549 558 570 589 610 657 685 722 730 775 822 855 915 930 950 1083 1095 1098 1159 1178 1233 1314 1370 1387 1395 1425 1525 1550 1710 1767 1805 1825 1830 1891 2055 2166 2190 2263 2318 2325 2466 2603 2745 2774 2790 2850 2945 3050 3249 3285 3425 3477 3534 3610 3650 3721 3782 4110 4161 4247 4275 4453 4526 4575 4650 5206 5301 5329 5415 5475 5490 5673 5795 5890 6165 6498 6570 6789 6850 6935 6954 6975 7442 7809 8322 8357 8494 8550 8835 8906 9025 9150 9455 10001 10275 10431 10602 10658 10830 10950 11163 11191 11315 11346 11590 12330 12483 12741 13015 13359 13578 13725 13870 13950 14725 15618 15987 16245 16425 16714 17019 17385 17670 18050 18605 18910 20002 20367 20550 20805 20862 21235 22021 22265 22326 22382 22630 23427 24966 25071 25482 26030 26353 26505 26645 26718 27075 27450 28365 28975 29450 30003 30825 31974 32490 32850 33489 33573 33945 34038 34675 34770 35929 37210 38223 39045 40077 40734 41610 41785 42470 42997 44042 44175 44530 46854 47275 47961 49457 50005 50142 52155 52706 53010 53290 54150 55815 55955 56575 56730 57950 60006 61650 62415 63705 65075 66063 66795 66978 67146 67890 69350 70699 71858 75213 76446 78090 79059 79935 80154 80693 81225 83570 84607 85095 85994 86925 88350 90009 93025 94550 95922 98914 100010 100719 101251 101835 104025 104310 106175 107787 110105 111325 111630 111910 113150 115351 117135 124830 125355 127410 128991 130150 131765 132126 132525 133225 133590 138043 141398 141825 148371 150015 150426 158118 158783 159870 161386 162450 165199 167445 167865 169214 169725 170190 173850 179645 180018 186050 190019 191115 195225 198189 200385 201438 202502 203670 208050 208925 212097 212350 214985 215574 220210 222650 230702 234270 237177 239805 242079 247285 250025 250710 253821 257982 259067 260775 263530 265050 266450 271633 276086 279075 279775 283650 296742 300030 303753 310031 312075 317566 318525 323361 325069 330315 330398 333975 334890 335730 339450 346053 353495 359290 376065 380038 382230 386973 390450 395295 396378 399675 400770 403465 414129 417850 423035 424194 425475 429970 445113 450045 474354 476349 479610 484158 494570 495597 500050 503595 506255 507642 509175 509777 518134 521550 538935 543266 550525 558150 559550 570057 576755 585675 607506 610061 620062 624150 626775 636291 637050 644955 646722 650138 658825 660630 667950 682651 690215 692106 706990 726237 730073 741855 750075 752130 761463 773946 777201 790590 793915 799350 806930 814899 816943 825995 828258 837225 839325 846070 850950 890226 898225 900090 911259 930093 950095 952698 955575 975207 990945 991194 1001925 1007190 1012510 1018350 1019554 1038159 1060485 1074925 1077870 1101050 1140114 1153510 1171350 1185885 1199025 1210395 1220122 1236425 1242387 1253550 1269105 1272582 1289910 1295335 1317650 1343281 1358165 1365302 1380430 1429047 1452474 1460146 1483710 1486791 1500150 1518765 1522926 1529331 1533167 1550155 1554402 1587830 1607533 1616805 1625345 1629798 1633886 1651575 1651990 1674450 1678650 1710171 1730265 1767475 1796450 1822518 1830183 1860186 1880325 1900190 1911150 1923769 1934865 1950414 1976475 1981890 2003850 2017325 2047953 2070645 2076318 2115175 2120970 2149850 2190219 2191669 2225565 2250225 2331603 2371770 2381745 2398050 2420790 2444697 2450829 2472850 2477985 2484774 2517975 2531275 2538210 2548885 2590670 2622817 2686562 2694675 2716330 2790279 2850285 2858094 2883775 2925621 2973582 3016877 3037530 3050305 3058662 3066334 3100310 3138781 3181455 3215066 3224775 3233610 3250690 3303150 3413255 3420342 3451075 3460530 3534950 3610361 3631185 3650365 3660366 3709275 3760650 3807315 3847538 3869730 3886005 3952950 3969575 4029843 4034650 4074495 4084715 4095906 4129975 4141290 4230350 4380438 4383338 4451130 4500450 4556295 4587993 4599501 4650465 4663206 4750475 4763490 4822599 4876035 4889394 4901658 4922273 4954725 4955970 5035950 5062550 5097770 5161027 5190795 5245634 5302425 5389350 5490549 5580558 5700570 5767550 5771307 5851242 5890589 5929425 6033754 6051975 6100610 6143859 6176311 6211935 6277562 6345525 6362910 6449550 6476675 6570657 6575007 6716405 6790825 6826510 6902150 7145235 7220722 7262370 7300730 7352487 7418550 7433955 7593825 7614630 7646655 7665835 7750775 7772010 7868451 7939150 8037665 8059686 8084025 8126725 8148990 8169430 8259950 8420623 8550855 8651325 9050631 9112590 9150915 9175986 9199002 9300930 9416343 9500950 9618845 9645198 9674325 9685763 9752070 9844546 9909450 10077139 10239765 10322054 10353225 10381590 10604850 10831083 10951095 10958345 10981098 11127825 11542614 11591159 11658015 11781178 11858850 11908725 12089529 12103950 12223485 12254145 12287718 12352622 12389925 12423870 12691050 12744425 12953350 13114085 13141314 13150014 13432810 13581650 13798503 13871387 13951395 14251425 14290470 14467797 14628105 14704974 14766819 14867910 15084385 15187650 15251525 15293310 15331670 15483081 15501550 15693905 15736902 15803087 15907275 16075330 16168050 16253450 16841246 17066275 17101710 17302650 17313921 17671767 18051805 18101262 18155925 18251825 18301830 18528933 18832686 18911891 19036575 19237690 19348650 19371526 19430025 19725021 19829209 20149215 20154278 20372475 20423575 20479530 20706450 21662166 21902190 21916690 22255650 22632263 22781475 22939965 22997505 23182318 23252325 23316030 23605353 23817450 24112995 24179058 24380175 24446970 24508290 24611365 24779850 25261869 25488850 25805135 25953975 26228170 27151893 27452745 27597006 27742774 27902790 28249029 28502850 28856535 28935594 29057289 29256210 29452945 29533638 30168770 30231417 30503050 30719295 30881555 30966162 31059675 31387810 31606174 31814550 32493249 32853285 32875035 33582025 34132550 34627842 34773477 35343534 35726175 36103610 36311850 36503650 36762435 37057866 37169775 37213721 37823782 38073150 38233275 38329175 38860050 39342255 39450042 39658418 40188325 40298430 40744950 40847150 41614161 41641711 42103115 42754275 44300457 44534453 45253155 45264526 45562950 45754575 45879930 45995010 46449243 46504650 47081715 47210706 47409261 48094225 48225990 48428815 48760350 49222730 49833523 50385695 50523738 51198825 51610270 51907950 53015301 54155415 54303786 54755475 54791725 54905490 55586799 56498058 56735673 57713070 57955795 58114578 58290075 58905890 59487627 59636839 60447645 60462834 61117425 61270725 61438590 61763110 62119350 64986498 65570425 65706570 65750070 67164050 67896789 68992515 69356935 69546954 69756975 71452350 72338985 73140525 73524870 73834095 74339550 74427442 75421925 75785607 76466550 76658350 77415405 78469525 78684510 79015435 80376650 83228322 83283422 84206230 85508550 86569605 87171867 88358835 88600914 89068906 90259025 90506310 90694251 91509150 92644665 92898486 93523187 94163430 94559455 94818522 96188450 96857630 98059513 98625105 99146045 99667046 100746075 100771390 102397650 104320431 106030602 108310830 109510950 109583450 111173598 111641163 111921191 113161315 113471346 114699825 114987525 115911590 116580150 117349909 118026765 118975254 119273678 120564975 120895290 122234850 122541450 123056825 124842483 124925133 126309345 129025675 131140850 133603359 135759465 135793578 137263725 137985030 138713870 139513950 141245145 142227783 144282675 144677970 145286445 146281050 147264725 147668190 149500569 150843850 151157085 151571214 153596475 154407775 154830810 156939050 158030870 159991837 162466245 164266425 164375175 170207019 173139210 173867385 174343734 176717670 178462881 178910517 180518050 181388502 183812175 184029497 185289330 186068605 187046374 189118910 191465641 196119026 196711275 197250210 198292090 201492150 203690367 208070805 208208555 208640862 210515575 220232021 221502285 222672265 223282326 223842382 226265775 226322630 229399650 229975050 232246215 234699818 235408575 236053530 237046305 241129950 242144075 246113650 249167615 249684966 249850266 251928475 252618690 258051350 263556353 265076505 267206718 270777075 271518930 274527450 277933995 280569561 282490290 283678365 284455566 288565350 289778975 290572890 294178539 294529450 297438135 298184195 299001138 300258653 302238225 302314170 307192950 308815550 319983674 324932490 328532850 328750350 334923489 335763573 339483945 340414038 344962575 346784675 347734770 352049727 356925762 357821034 359325929 361694925 367624350 368058994 369170475 372137210 374775399 376754971 378928035 382931282 387077025 393422550 395077175 400810077 407380734 416141610 416417110 421031150 430012997 432848025 435859335 440464042 441794175 443004570 445344530 448501707 452531550 453471255 463223325 464492430 467615935 470817150 472797275 474092610 479975511 484288150 490297565 493125525 495730225 498335230 503856950 521602155 527112706 530153010 536731551 541554150 552088491 555867990 558205815 559605955 561139122 565806575 567356730 574396923 579557950 586749545 588357078 590133825 594876270 596368390 600517306 604476450 614705479 624212415 624625665 631546725 660696063 668016795 669846978 671527146 678797325 678967890 689925150 693569350 704099454 706225725 707060699 711138915 718651858 723389850 726432225 738340950 747502845 749550798 753509942 755785425 757856070 774154050 790154350 790669059 799959185 801620154 812331225 841708683 846154607 851035095 860025994 865696050 869336925 871718670 882535617 883588350 892314405 894552585 897003414 900775959 906942510 920147485 926446650 930343025 935231870 945594550 957328205 959951022 980595130 986251050 991460450 1007290719 1018451835 1040354025 1041042775 1043204310 1056149181 1073463102 1077977787 1101160105 1104176982 1107511425 1113361325 1116411630 1119211910 1130264913 1131613150 1148793846 1153625351 1161231075 1173499090 1180267650 1185231525 1229410958 1245838075 1248424830 1249251330 1263093450 1290038991 1317781765 1321392126 1325382525 1336033590 1357594650 1380568043 1389669975 1402847805 1412451450 1414121398 1418391825 1422277830 1439926533 1452864450 1470892695 1487190675 1490920975 1495005690 1501293265 1511570850 1581338118 1599918370 1624662450 1656265473 1674617445 1678817865 1683417366 1692309214 1697419725 1702070190 1723190769 1738673850 1760248635 1765071234 1784628810 1789105170 1796629645 1801551918 1840294970 1844116437 1860686050 1873876995 1883774855 1894640175 1914656410 1982088189 2004050385 2014581438 2036903670 2080708050 2082085550 2112298362 2121182097 2150064985 2155955574 2179296675 2202320210 2215022850 2226722650 2242508535 2260529826 2267356275 2307250702 2322462150 2338079675 2370463050 2372007177 2399877555 2451487825 2491676150 2538463821 2580077982 2608010775 2635563530 2650765050 2683657755 2702327877 2716601633 2760442455 2761136086 2779339950 2791029075 2798029775 2805695610 2836783650 2871984615 2879853066 2933747725 2941785390 2974381350 2981841950 3002586530 3039844903 3073527395 3121062075 3123128325 3233933361 3303480315 3312530946 3340083975 3349234890 3357635730 3390794739 3394839450 3446381538 3460876053 3520497270 3535303495 3555694575 3593259290 3637847179 3688232874 3737514225 3747753990 3767549710 3789280350 3870116973 3953345295 3964176378 3999795925 4008100770 4141704129 4208543415 4230773035 4242364194 4255175475 4300129970 4358593350 4412678085 4461572025 4472762925 4485017070 4503879795 4534712550 4600737425 4676159350 4744014354 4786641025 4799755110 4902975650 5036453595 5076927642 5092259175 5216021550 5280745905 5367315510 5389888935 5404655754 5433203266 5505800525 5520884910 5532349311 5582058150 5596059550 5651324565 5704914407 5743969230 5768126755 5867495450 6079689806 6147054790 6242124150 6246256650 6363546291 6450194955 6467866722 6588908825 6606960630 6680167950 6781589478 6827192651 6902840215 6921752106 7014239025 7070606990 7111389150 7158344449 7199632665 7275694358 7354463475 7475028450 7506466325 7615391463 7740233946 7906690590 7999591850 8149804899 8170246943 8281327365 8283408258 8373087225 8394089325 8417086830 8461546070 8510350950 8615953845 8801243175 8825356170 8923144050 8945525850 8983148225 9007759590 9119534709 9201474850 9220582185 9369384975 9418874275 9573282050 9910440945 10020251925 10072907190 10184518350 10382628159 10561491810 10605910485 10750324925 10779777870 10913541537 11011601050 11064698622 11212542675 11302649130 11409828814 11536253510 11679404101 11860035885 11999387775 12425112387 12692319105 12727092582 12900389910 13177817650 13418288775 13434153281 13511639385 13583008165 13654385302 13802212275 13805680430 14028478050 14316688898 14359923075 14399265330 14708926950 15012932650 15199224515 15230782926 15367636975 16076937533 16169666805 16299609798 16340493886 16517401575 16562654730 16746174450 16788178650 16953973695 17114743221 17231907690 17304380265 17602486350 17676517475 17966296450 18189235895 18239069418 18441164370 18738769950 18837748550 19350584865 19766726475 19820881890 20040503850 20481577953 20708520645 20765256318 21042717075 21153865175 21211820970 21475033347 21500649850 21827083074 21918881669 22063390425 22425085350 22519398975 23358808202 23720071770 23998775550 24449414697 24510740829 24850224774 25182267975 25384638210 26230792817 26403729525 26836577550 26868306562 26949444675 27023278770 27166016330 27358604127 27604424550 27661746555 28256622825 28524572035 28719846150 28840633775 30398449030 30735273950 31817731455 32153875066 32250974775 32339333610 32740624611 33034803150 33907947390 34135963255 34229486442 34514201075 34608760530 35038212303 35353034950 35791722245 35998163325 36378471790 38076957315 38701169730 39533452950 40302459843 40749024495 40851234715 40963155906 41406636825 41417041290 42085434150 42307730350 42950066694 43079769225 43837763338 44126780850 45038797950 45597673545 46102910925 48230812599 48898829394 49021481658 49552204725 50364535950 51344229663 51615431027 51913140795 52461585634 52807459050 53029552425 53898889350 54567707685 54717208254 55323493110 56513245650 57049144070 57681267550 58397020505 59300179425 61444733859 62125561935 63461595525 63635462910 64425100041 64501949550 65481249222 65756645007 67170766405 67558196925 67915040825 68271926510 69028402150 70076424606 71583444490 71996326650 73532222487 75996122575 76153914630 78692378451 80384687665 80604919686 80848334025 81498048990 81702469430 82813273650 84214650623 84769868475 85573716105 86159538450 86521901325 90946179475 91195347090 92205821850 96461625198 96752924325 99104409450 102407889765 102688459326 103230862054 103542603225 103826281590 105114636909 106059104850 107375166735 109135415370 109594408345 116794041010 118600358850 120907379529 122247073485 122553704145 122889467718 124251123870 126923191050 128850200082 131153964085 131513290014 134341532810 135116393850 135830081650 136793020635 138308732775 142622860175 144692437797 147064444974 151992245150 154846293081 157384756902 159088657275 160769375330 161696668050 163703123055 168429301246 169539736950 170679816275 171147432210 173043802650 175191061515 178958611225 181892358950 190384786575 193505848650 197269935021 201512299215 203745122475 204256173575 204815779530 207085206450 210229273818 214750333470 219188816690 221908677919 227988367725 236077135353 241154062995 241814759058 244494146970 245107408290 252643951869 256721148315 258077155135 259565703975 262307928170 272838538425 273586041270 276617465550 285245720350 289384875594 291985102525 307223669295 309692586162 310627809675 318177314550 322125500205 327406246110 328783225035 335853832025 341359632550 350382123030 357917222450 367661112435 380769573150 393461892255 394539870042 401923438325 403024598430 407490244950 408512347150 416458751711 421073253115 427868580525 443817355838 455976735450 464538879243 472154270706 482308125990 498385063523 505287903738 512039448825 513442296630 516154310270 519131407950 525573184545 536875833675 545677076850 547972041725 583970205050 604536897645 611235367425 612768520725 614447338590 621255619350 644251000410 655769820425 657566450070 665726033757 671707664050 683965103175 723462188985 735322224870 757931855607 774231465405 786923784510 803846876650 818515615275 832917503422 842146506230 855737161050 875955307575 929077758486 980693189513 986349675105 996770127046 1007561496075 1024078897650 1051146369090 1073751667350 1095944083450 1109543389595 1180385676765 1205770314975 1209073795290 1222470734850 1225537041450 1249376255133 1263219759345 1283605741575 1290385775675 1311539640850 1331452067514 1367930206350 1446924377970 1495155190569 1515863711214 1536118346475 1548462930810 1600078361837 1610627501025 1637031230550 1643916125175 1751910615150 1838305562175 1961386379026 1967309461275 1972699350210 1997178101271 2015122992150 2082293758555 2105366265575 2219086779190 2322694396215 2360771353530 2411540629950 2491925317615 2498752510266 2526439518690 2567211483150 2580771551350 2627865922725 2942079568539 2990310381138 3022684488225 3072236692950 3200156723674 3221255002050 3287832250350 3328630168785 3617310944925 3676611124350 3748128765399 3789659278035 3871157327025 3934618922550 3994356202542 4164587517110 4210732531150 4485465571707 4645388792430 4800235085511 4903465947565 4931748375525 4983850635230 5255731845450 5547716947975 5884159137078 5901928383825 6045368976450 6246881275665 6316098796725 6657260337570 7234621889850 7475775952845 7496257530798 7579318556070 7742314654050 8000391809185 8826238705617 8970931143414 9600470171022 9806931895130 9863496751050 9985890506355 10411468792775 11095433895950 11613471981075 11803856767650 12459626588075 12493762551330 12632197593450 14400705256533 14710397842695 14951551905690 16000783618370 16643150843925 17652477411234 18740643826995 18948296390175 19971781012710 20822937585550 22427327858535 23226943962150 24001175427555 24517329737825 24919253176150 28801410513066 29420795685390 30401488874903 31234406378325 33286301687850 37378879764225 37481287653990 37896592780350 40001959045925 44131193528085 44854655717070 48002350855110 49034659475650 49929452531775 60802977749806 62468812756650 72003526282665 73551989213475 74757759528450 80003918091850 88262387056170 91204466624709 93703219134975 99858905063550 112136639292675 120005877137775 144007052565330 147103978426950 152007444374515 182408933249418 187406438269950 220655967640425 224273278585350 240011754275550 273613399874127 304014888749030 360017631413325 441311935280850 456022333123545 547226799748254 720035262826650 760037221872575 912044666247090 1368066999370635 1520074443745150 2280111665617725 2736133998741270 4560223331235450 6840334996853175 13680669993706350
- Sum of all divisors σ(n): 41576856456073536
- Sum of proper divisors (its aliquot sum) s(n): 27896186462367186
- 13680669993706350 is an abundant number, because the sum of its proper divisors (27896186462367186) is greater than itself. Its abundance is 14215516468660836
Bases of 13680669993706350
- Binary: 1100001001101001111111001100110100001110100011011011102
- Hexadecimal: 0x309A7F3343A36E
- Base-36: 3QPE515TJZI
Squares and roots of 13680669993706350
- 13680669993706350 squared (136806699937063502) is 187160731476697302548610030322500
- 13680669993706350 cubed (136806699937063503) is 2560484203113384348399376805347056557660797875000
-
The
square root of 13680669993706350 is 116964396.2653009635 -
The
cube root of 13680669993706350 is 239167.6606621813
Scales and comparisons
How big is 13680669993706350?- 13,680,669,993,706,350 seconds is equal to 435,002,988 years, 36 weeks, 6 days, 2 hours, 52 minutes, 30 seconds.
-
To count from 1 to 13,680,669,993,706,350 would take you about one billion, three hundred five million, eight thousand, nine hundred sixty-six 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 13680669993706350 cubic inches would be around 19930.6 feet tall.
Recreational maths with 13680669993706350
- 13680669993706350 backwards is 05360739996608631
- The number of decimal digits it has is: 17
- The sum of 13680669993706350's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13680669993706350 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 13680669993706350 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13680669993706350/
Chicago style:
Numbermatics. 2024. "Number 13680669993706350 - Facts about the integer". https://numbermatics.com/n/13680669993706350/
The information we have on file for 13680669993706350 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 13680669993706350, math, Factors of 13680669993706350, curriculum, school, college, exams, university, Prime factorization of 13680669993706350, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred eighty trillion, six hundred sixty-nine billion, nine hundred ninety-three million, seven hundred six thousand, three hundred fifty.