13678666838261984
13,678,666,838,261,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 13678666838261984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13678666838261984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13678666838261984:
25 × 133 × 19 × 47 × 1133 × 151
(2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 19 × 47 × 113 × 113 × 113 × 151)See below for interesting mathematical facts about the number 13678666838261984 from the Numbermatics database.
Names of 13678666838261984
- Cardinal: 13678666838261984 can be written as Thirteen quadrillion, six hundred seventy-eight trillion, six hundred sixty-six billion, eight hundred thirty-eight million, two hundred sixty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3678666838261984 × 1016
Factors of 13678666838261984
Divisors of 13678666838261984
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 8 13 16 19 26 32 38 47 52 76 94 104 113 151 152 169 188 208 226 247 302 304 338 376 416 452 494 604 608 611 676 752 893 904 988 1208 1222 1352 1469 1504 1786 1808 1963 1976 2147 2197 2416 2444 2704 2869 2938 3211 3572 3616 3926 3952 4294 4394 4832 4888 5311 5408 5738 5876 6422 7097 7144 7852 7904 7943 8588 8788 9776 10622 11476 11609 11752 12769 12844 14194 14288 15704 15886 17063 17176 17576 19097 19552 21244 22952 23218 23504 25519 25538 25688 27911 28388 28576 31408 31772 34126 34352 35152 37297 38194 41743 42488 45904 46436 47008 51038 51076 51376 55822 56776 62816 63544 68252 68704 69043 70304 74594 76388 83486 84976 91808 92261 92872 100909 102076 102152 102752 103259 111644 113552 127088 134843 136504 138086 149188 150917 152776 165997 166972 169952 184522 185744 201818 204152 204304 206518 221819 223288 227104 242611 248261 254176 269686 273008 276172 298376 301834 305552 324197 331747 331994 333944 362843 369044 371488 403636 408304 408608 413036 443638 446576 484861 485222 496522 539372 546016 552344 596752 600143 603668 611104 648394 663494 663988 667888 725686 738088 801961 807272 816608 826072 887276 893152 897559 969722 970444 993044 1078744 1104688 1193504 1199393 1200286 1207336 1296788 1311817 1326988 1327976 1335776 1442897 1451372 1476176 1603922 1614544 1652144 1752959 1774552 1795118 1928119 1939444 1940888 1961921 1986088 2157488 2157961 2209376 2398786 2400572 2414672 2593576 2623634 2653976 2655952 2883647 2885794 2902744 2952352 3153943 3207844 3229088 3304288 3505918 3549104 3590236 3856238 3878888 3881776 3923842 3972176 4214561 4314976 4315922 4716959 4797572 4801144 4829344 5187152 5247268 5307952 5311904 5767294 5771588 5805488 6303193 6307886 6415688 7011836 7098208 7180472 7712476 7757776 7763552 7801859 7847684 7944352 8429122 8631844 9433918 9595144 9602288 10374304 10425493 10494536 10615904 11402717 11534588 11543176 11610976 11668267 12606386 12615772 12831376 14023672 14360944 15237259 15424952 15515552 15592109 15603718 15695368 16858244 17053621 17263688 18757661 18867836 19190288 19204576 20850986 20989072 22788467 22805434 23069176 23086352 23336534 25065547 25212772 25231544 25662752 27415043 28047344 28053493 28721888 30474518 30849904 31184218 31207436 31390736 33716488 34107242 34527376 36634261 37487411 37515322 37735672 38380576 41001259 41701972 41978144 45576934 45610868 46138352 46172704 46673068 50131094 50425544 50463088 54789293 54830086 56094688 56106986 60949036 61699808 62368436 62414872 62781472 67432976 67816159 68214484 69054752 73268522 74974822 75030644 75471344 82002518 83403944 90621593 91153868 91221736 92276704 93346136 100262188 100851088 100926176 101424167 109578586 109660172 112213972 121898072 124736872 124829744 134865952 135531409 135632318 136428968 146537044 148235321 149949644 150061288 150942688 164005036 166807888 181243186 182307736 182443472 186692272 198084367 200524376 201702176 202848334 217877447 219157172 219320344 221697073 224427944 243796144 243849593 249473744 249659488 271062818 271264636 272857936 293074088 296250071 296470642 299899288 300122576 325852111 328010072 333615776 356395559 362486372 364615472 364886944 373384544 396168734 401048752 405696668 435754894 438314344 438640688 443394146 448855888 476245393 487592288 487699186 498947488 533016367 542125636 542529272 545715872 586148176 592500142 592941284 599798576 600245152 651704222 656020144 712260809 712791118 724972744 729230944 792337468 802097504 811393336 871509788 876628688 877281376 881610067 886788292 897711776 952490786 975398372 1066032734 1084251272 1085058544 1172296352 1178080709 1185000284 1185882568 1199597152 1288507021 1303408444 1312040288 1318514171 1424521618 1425582236 1449945488 1584674936 1622786672 1721810267 1743019576 1753257376 1761908317 1763220134 1773576584 1904981572 1927059173 1950796744 2132065468 2168502544 2170117088 2356161418 2370000568 2371765136 2575096771 2577014042 2606816888 2637028342 2832406811 2849043236 2851164472 2899890976 3169349872 3170044709 3245573344 3443620534 3486039152 3523816634 3526440268 3547153168 3809963144 3854118346 3901593488 4139671493 4236077443 4264130936 4337005088 4633142267 4712322836 4740001136 4743530272 5150193542 5154028084 5213633776 5274056684 5664813622 5698086472 5702328944 6191190109 6338699744 6340089418 6887241068 6972078304 7047633268 7052880536 7094306336 7619926288 7708236692 7803186976 8279342986 8472154886 8528261872 9266284534 9424645672 9480002272 10240240009 10300387084 10308056168 10427267552 10548113368 11329627244 11396172944 11404657888 11460930871 12382380218 12680178836 13774482136 14095266536 14105761072 15239852576 15315049217 15416473384 16558685972 16750591273 16944309772 17056523744 18532569068 18849291344 20480480018 20600774168 20616112336 21096226736 22383533471 22659254488 22792345888 22921861742 24764760436 25051769249 25360357672 27548964272 28190533072 28211522144 30630098434 30832946768 33117371944 33476258023 33501182546 33888619544 36821288543 37065138136 37698582688 40960960036 41201548336 41232224672 42192453472 44767066942 45318508976 45843723484 49529520872 50103538498 50720715344 53815729409 55097928544 56381066144 60230849471 61260196868 61665893536 66234743888 66952516046 67002365092 67777239088 73642577086 74130276272 80485471417 81921920072 82403096672 89534133884 90637017952 91687446968 99059041744 100207076996 101441430688 107631458818 120461698942 122520393736 132469487776 133123120117 133905032092 134004730184 135554478176 147285154172 148260552544 148992101323 160970942834 163843840144 179068267768 183374893936 194564560171 198118083488 199095639821 200414153992 215262917636 217757686549 240923397884 245040787472 266246240234 267810064184 268009460368 290985935123 294570308344 297984202646 321941885668 327687680288 358136535536 366749787872 389129120342 398191279642 400828307984 430525835272 435515373098 478676751059 481846795768 490081574944 532492480468 535620128368 536018920736 581971870246 589140616688 595968405292 643883771336 699604482317 716273071072 778258240684 796382559284 801656615968 861051670544 871030746196 957353502118 963693591536 1064984960936 1071240256736 1163943740492 1178281233376 1191936810584 1287767542672 1399208964634 1556516481368 1592765118568 1722103341088 1730600561521 1742061492392 1914707004236 1927387183072 2129969921872 2327887480984 2383873621168 2529339282223 2575535085344 2798417929268 2830849925137 3113032962736 3185530237136 3461201123042 3484122984784 3782817156599 3829414008472 4259939843744 4655774961968 4767747242336 5058678564446 5596835858536 5661699850274 6226065925472 6371060474272 6922402246084 6968245969568 7565634313198 7658828016944 9094858270121 9311549923936 10117357128892 11193671717072 11323399700548 13844804492168 15131268626396 15317656033888 18189716540242 20234714257784 22387343434144 22497807299773 22646799401096 27689608984336 30262537252792 32881410668899 36379433080484 40469428515568 44995614599546 45293598802192 55379217968672 60525074505584 65762821337798 72758866160968 80938857031136 89991229199092 90587197604384 121050149011168 131525642675596 145517732321936 179982458398184 263051285351192 291035464643872 359964916796368 427458338695687 526102570702384 719929833592736 854916677391374 1052205141404768 1709833354782748 3419666709565496 6839333419130992 13678666838261984
- Sum of all divisors σ(n): 31851366994944000
- Sum of proper divisors (its aliquot sum) s(n): 18172700156682016
- 13678666838261984 is an abundant number, because the sum of its proper divisors (18172700156682016) is greater than itself. Its abundance is 4494033318420032
Bases of 13678666838261984
- Binary: 1100001001100010101100110011011110010101000000111000002
- Hexadecimal: 0x3098ACCDE540E0
- Base-36: 3QOOKSMSEZK
Squares and roots of 13678666838261984
- 13678666838261984 squared (136786668382619842) is 187105926472168101949841819616256
- 13678666838261984 cubed (136786668382619843) is 2559359631677130905143588925351686192188873211904
-
The
square root of 13678666838261984 is 116955832.8526712857 -
The
cube root of 13678666838261984 is 239155.9869311225
Scales and comparisons
How big is 13678666838261984?- 13,678,666,838,261,984 seconds is equal to 434,939,294 years, 29 weeks, 1 day, 14 hours, 59 minutes, 44 seconds.
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To count from 1 to 13,678,666,838,261,984 would take you about one billion, three hundred four million, eight hundred seventeen thousand, eight hundred eighty-three 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 13678666838261984 cubic inches would be around 19929.7 feet tall.
Recreational maths with 13678666838261984
- 13678666838261984 backwards is 48916283866687631
- The number of decimal digits it has is: 17
- The sum of 13678666838261984's digits is 92
- More coming soon!
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The information we have on file for 13678666838261984 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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