13007238814200538336
13,007,238,814,200,538,336 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13007238814200538336 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
13007238814200538336 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13007238814200538336:
25 × 11 × 13 × 31 × 37 × 107 × 263 × 331 × 266053
(2 × 2 × 2 × 2 × 2 × 11 × 13 × 31 × 37 × 107 × 263 × 331 × 266053)See below for interesting mathematical facts about the number 13007238814200538336 from the Numbermatics database.
Names of 13007238814200538336
- Cardinal: 13007238814200538336 can be written as Thirteen quintillion, seven quadrillion, two hundred thirty-eight trillion, eight hundred fourteen billion, two hundred million, five hundred thirty-eight thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 1.3007238814200538336 × 1019
Factors of 13007238814200538336
Divisors of 13007238814200538336
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 31 32 37 44 52 62 74 88 104 107 124 143 148 176 208 214 248 263 286 296 331 341 352 403 407 416 428 481 496 526 572 592 662 682 806 814 856 962 992 1052 1144 1147 1177 1184 1324 1364 1391 1612 1628 1712 1924 2104 2288 2294 2354 2648 2728 2782 2893 3224 3256 3317 3419 3424 3641 3848 3959 4208 4303 4433 4576 4588 4708 5291 5296 5456 5564 5786 6448 6512 6634 6838 7282 7696 7918 8153 8416 8606 8866 9176 9416 9731 10261 10582 10592 10912 11128 11572 12247 12617 12896 13024 13268 13676 14564 14911 15301 15392 15836 16306 17212 17732 18352 18832 19462 20522 21164 22256 23144 24494 25234 26536 27352 28141 29128 29822 30602 31672 32612 34424 35417 35464 36487 36704 37609 37664 38924 41044 42328 43121 43549 44512 46288 47333 48988 50468 51467 53072 54704 56282 58256 59644 61204 63344 65224 68848 70834 70928 72974 75218 77848 82088 84656 86242 87053 87098 89683 92576 94666 97976 100936 102934 105989 106144 107041 109408 112564 112871 116512 119288 122408 122729 126503 126688 130448 133393 134717 137696 141668 141856 145948 150436 155696 159211 164021 164176 169312 172484 174106 174196 179366 189332 195952 201872 205868 211978 214082 225128 225742 238576 244816 245458 253006 260896 266053 266786 269434 283336 291896 300872 301661 309551 311392 318422 328042 328352 344968 348212 348392 358732 365833 378664 379657 389587 391904 403744 411736 423956 428164 450256 451484 460421 474331 477152 489632 490916 506012 532106 533572 538868 566137 566672 583792 601744 603322 619102 636844 656084 689936 696424 696784 717464 731666 757328 759314 779174 823472 847912 856328 872371 900512 902968 920842 948662 957583 981832 1012024 1041217 1064212 1067144 1077736 1097927 1131689 1132274 1133344 1165879 1167584 1203488 1206644 1238204 1273688 1310429 1312168 1350019 1379872 1391533 1392848 1393568 1434928 1463332 1467323 1514656 1518628 1558348 1595477 1646944 1695824 1712656 1744742 1751321 1805936 1841684 1897324 1915166 1963664 2024048 2082434 2128424 2134288 2155472 2195854 2263378 2264548 2331758 2413288 2476408 2547376 2620858 2624336 2698643 2700038 2783066 2785696 2869856 2926583 2926664 2934646 3037256 3116696 3190954 3220961 3318271 3391648 3425312 3458689 3489484 3502642 3611872 3683368 3794648 3830332 3921593 3927328 4024163 4048096 4164868 4176227 4256848 4268576 4310944 4391708 4526756 4529096 4663516 4826576 4935541 4952816 5064631 5094752 5241716 5248672 5397286 5400076 5566132 5853166 5853328 5869292 6074512 6233392 6381908 6441922 6636542 6917378 6978968 7005284 7366736 7589296 7660664 7843186 8048326 8247643 8329736 8352454 8513696 8783416 9053512 9058192 9314671 9327032 9596081 9653152 9843961 9871082 9905632 10129262 10483432 10794572 10800152 11132264 11340823 11453387 11706332 11706656 11738584 12077197 12149024 12448579 12466784 12763816 12883844 13273084 13535821 13834756 13957936 14010568 14273051 14414719 14733472 15178592 15321328 15686372 16096652 16495286 16659472 16704908 17035577 17550247 17566832 18107024 18116384 18629342 18654064 19192162 19687922 19742164 20258524 20966864 21589144 21600304 22264528 22681646 22906774 23412664 23477168 24154394 24897158 25527632 25767688 26546168 27071642 27669512 27915872 28021136 28467671 28546102 28829438 29685073 30642656 31372744 32193304 32277727 32990572 33318944 33409816 34071154 35082359 35100494 35133664 35430571 36214048 37258684 37308128 38045579 38384324 39375844 39484328 40517048 40623299 41872493 41933728 43137523 43178288 43200608 44529056 45363292 45813548 46825328 46954336 48308788 49794316 51055264 51535376 53092336 54143284 54290951 55339024 56042272 56935342 57092204 57658876 59370146 62745488 64386608 64555454 65981144 66819632 68142308 69971939 70164718 70200988 70861142 74517368 76091158 76768648 78751688 78968656 81034096 81246598 83744986 86275046 86356576 88063543 90724073 90726584 91627096 93650656 96617576 99588632 99849791 102461381 103070752 106184672 107219359 108283571 108286568 108581902 110678048 113870684 114184408 115317752 118740292 121090723 124749053 125490976 127971493 128773216 129110908 131962288 133639264 136284616 139943878 140329436 140401976 141722284 148894031 149034736 152182316 153537296 157003561 157503376 157937312 162068192 162493196 167489972 172550092 176127086 181448146 181453168 183254192 187391347 193235152 199177264 199699582 204922762 214438718 216567142 216573136 217163804 227741368 228368816 230635504 237480584 242181446 249498106 255942986 258221816 263924576 272569232 279887756 280658872 280803952 283444568 288754801 297788062 298069472 304364632 305162791 307074592 313144381 314007122 315006752 324986392 334979944 344642827 345100184 352254172 355054997 362896292 362906336 366508384 370079723 374782694 385905949 386470304 398354528 399399164 409845524 419610451 428877436 433134284 433146272 434327608 446856289 455482736 456737632 460597423 461271008 474961168 484362892 498996212 511885972 516443632 528102887 545138464 559775512 561317744 561607904 566889136 577509602 595576124 608729264 610325582 626288762 628014244 649972784 669959888 689285654 690200368 704508344 710109994 725792584 740159446 749565388 769691329 771811898 798798328 819691048 839220902 857754872 866268568 868655216 882497801 893712578 909635207 910965472 921194846 949922336 968698973 968725784 997992424 1023771944 1032887264 1053303827 1056205774 1098347701 1119551024 1122635488 1133778272 1144826059 1155019204 1179412949 1191152248 1217458528 1220651164 1252577524 1256028488 1298047283 1299945568 1331997953 1339919776 1378571308 1380400736 1407686423 1409016688 1420219988 1451585168 1480318892 1499130776 1539382658 1543623796 1597596656 1639382096 1678441804 1715509744 1732537136 1737310432 1764995602 1787425156 1819270414 1842389692 1937397946 1937451568 1995984848 2047543888 2106607654 2112411548 2169130109 2196695402 2239102048 2289652118 2310038408 2358825898 2382304496 2441302328 2505155048 2512056976 2588961743 2596094566 2663995906 2729969833 2757142616 2815372846 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8565125109112 8587586101531 8864605008032 8888781776248 9064732735162 9333766859027 9338591730182 9347416708192 9426409706263 9634856112544 9912784654252 9925939378784 10212264553172 10504923917384 10779682171544 10807950568847 11140302380129 11156594135584 11476867406719 11487713057264 11493651360224 11847088935968 12069039926476 12188831886044 12222413216728 12492341955808 12852697973764 13247927154748 13583406152992 13711141390928 14125375269808 14404983138052 14444270386403 14910214592416 15189552150812 15340316936428 15795605453738 16693625318864 17130250218224 17175172203062 17777563552496 18129465470324 18667533718054 18677183460364 18852819412526 19825569308504 20424529106344 21009847834768 21559364343088 21615901137694 22280604760258 22953734813438 22975426114528 24138079852952 24377663772088 24444826433456 25705395947528 26495854309496 26565336444923 27260157799193 27422282781856 28250750539616 28809966276104 28888540772806 30379104301624 30680633872856 31591210907476 32216550126319 33189859797809 33387250637728 34260500436448 34350344406124 35555127104992 36258930940648 37335067436108 37354366920728 37705638825052 39613703629643 39651138617008 40849058212688 41771268414733 42019695669536 43118728686176 43231802275388 44561209520516 45907469626876 48276159705904 48755327544176 48889652866912 49856030043391 51410791895056 52991708618992 53130672889846 54520315598386 57619932552208 57777081545612 60758208603248 61361267745712 63182421814952 64433100252638 66379719595618 68700688812248 72517861881296 74670134872216 74708733841456 75411277650104 76824081070453 79227407259286 79302277234016 81698116425376 83542536829466 86463604550776 89122419041032 91693258051831 91814939253752 94463447116841 96552319411808 97510655088352 99712060086782 102671435449297 102821583790112 105983417237984 106261345779692 109040631196772 111638619319903 115239865104416 115554163091224 118887456257317 121516417206496 122543326181419 122722535491424 126364843629904 128866200505276 132759439191236 137401377624496 140503357395011 145035723762592 149340269744432 149417467682912 150822555300208 153648162140906 158454814518572 167085073658932 172927209101552 178244838082064 183386516103662 183629878507504 188926894233682 199424120173564 205342870898594 212522691559384 218081262393544 223277238639806 231108326182448 237774912514634 245086652362838 252729687259808 257732401010552 265518878382472 274802755248992 281006714790022 292218700894153 298680539488864 301645110600416 307296324281812 316909629037144 334170147317864 345349373783999 345854418203104 354382051389509 356489676164128 366773032207324 367259757015008 377853788467364 398848240347128 410685741797188 425045383118768 436162524787088 446554477279612 462216652364896 475549825029268 490173304725676 515464802021104 531037756764944 562013429580044 584437401788306 614592648563624 633819258074288 668340294635728 690698747567998 708764102779018 733546064414648 755707576934728 797696480694256 821371483594376 845064891774983 850090766237536 872325049574176 893108954559224 951099650058536 980346609451352 998713053915889 1008625838570141 1030929604042208 1062075513529888 1124026859160088 1168874803576612 1192012354673803 1228024812518933 1229185297127248 1267638516148576 1336680589271456 1381397495135996 1417528205558036 1467092128829296 1511415153869456 1545536931345121 1595392961388512 1642742967188752 1690129783549966 1786217909118448 1902199300117072 1960693218902704 1997426107831778 2017251677140282 2248053718320176 2337749607153224 2384024709347606 2456049625037866 2458370594254496 2762794990271992 2835056411116072 2842490999606761 2934184257658592 3022830307738912 3091073862690242 3285485934377504 3380259567099932 3572435818236896 3798843111623989 3804398600234144 3921386437805408 3994852215663556 4034503354280564 4496107436640352 4675499214306448 4768049418695212 4912099250075732 5525589980543984 5670112822232144 5684981999213522 6182147725380484 6760519134199864 7597686223247978 7989704431327112 8069006708561128 9350998428612896 9536098837390424 9824198500151464 10985843593074779 11051179961087968 11340225644464288 11369963998427044 12364295450760968 13112135901411833 13521038268399728 15195372446495956 15979408862654224 16138013417122256 19072197674780848 19648397000302928 21971687186149558 22739927996854088 24728590901521936 26224271802823666 27042076536799456 30390744892991912 31267400995674371 31958817725308448 32276026834244512 36952382994887893 38144395349561696 39296794000605856 43943374372299116 45479855993708176 49457181803043872 52448543605647332 60781489785983824 62534801991348742 73904765989775786 87886748744598232 90959711987416352 104897087211294664 121562979571967648 125069603982697484 147809531979551572 175773497489196464 209794174422589328 250139207965394968 295619063959103144 351546994978392928 406476212943766823 419588348845178656 500278415930789936 591238127918206288 812952425887533646 1000556831861579872 1182476255836412576 1625904851775067292 3251809703550134584 6503619407100269168 13007238814200538336
- Sum of all divisors σ(n): 32412980273498947584
- Sum of proper divisors (its aliquot sum) s(n): 19405741459298409248
- 13007238814200538336 is an abundant number, because the sum of its proper divisors (19405741459298409248) is greater than itself. Its abundance is 6398502645097870912
Bases of 13007238814200538336
- Binary: 10110100100000101111111011001001010001010001100010100100111000002
- Hexadecimal: 0xB482FEC94518A4E0
- Base-36: 2QTMHCBB10E74
Squares and roots of 13007238814200538336
- 13007238814200538336 squared (130072388142005383362) is 169188261569645026651468562632205648896
- 13007238814200538336 cubed (130072388142005383363) is 2200672122795800087308955699725776480256681750183404077056
-
The
square root of 13007238814200538336 is 3606554978.6743218779 -
The
cube root of 13007238814200538336 is 2351771.0394297187
Scales and comparisons
How big is 13007238814200538336?- 13,007,238,814,200,538,336 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,007,238,814,200,538,336 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 13007238814200538336 cubic inches would be around 195980.9 feet tall.
Recreational maths with 13007238814200538336
- 13007238814200538336 backwards is 63383500241883270031
- The number of decimal digits it has is: 20
- The sum of 13007238814200538336's digits is 67
- More coming soon!
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MLA style:
"Number 13007238814200538336 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 13007238814200538336 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13007238814200538336/
Chicago style:
Numbermatics. 2024. "Number 13007238814200538336 - Facts about the integer". https://numbermatics.com/n/13007238814200538336/
The information we have on file for 13007238814200538336 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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