13638103917604992
13,638,103,917,604,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 13638103917604992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13638103917604992 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 13638103917604992:
27 × 33 × 7 × 337 × 557 × 17332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 337 × 557 × 1733 × 1733)See below for interesting mathematical facts about the number 13638103917604992 from the Numbermatics database.
Names of 13638103917604992
- Cardinal: 13638103917604992 can be written as Thirteen quadrillion, six hundred thirty-eight trillion, one hundred three billion, nine hundred seventeen million, six hundred four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.3638103917604992 × 1016
Factors of 13638103917604992
Divisors of 13638103917604992
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 337 378 384 432 448 504 557 576 672 674 756 864 896 1008 1011 1114 1152 1344 1348 1512 1671 1728 1733 2016 2022 2228 2359 2688 2696 3024 3033 3342 3456 3466 3899 4032 4044 4456 4718 5013 5199 5392 6048 6066 6684 6932 7077 7798 8064 8088 8912 9099 9436 10026 10398 10784 11697 12096 12131 12132 13368 13864 14154 15039 15596 15597 16176 17824 18198 18872 20052 20796 21231 21568 23394 24192 24262 24264 26736 27728 28308 30078 31192 31194 32352 35091 35648 36393 36396 37744 40104 41592 42462 43136 46788 46791 48524 48528 53472 55456 56616 60156 62384 62388 63693 64704 70182 71296 72786 72792 75488 80208 83184 84924 93576 93582 97048 97056 105273 106944 109179 110912 113232 120312 124768 124776 127386 129408 140364 145572 145584 150976 160416 166368 169848 187152 187164 187709 194096 194112 210546 213888 218358 221824 226464 240624 249536 249552 254772 280728 291144 291168 301952 320832 327537 332736 339696 374304 374328 375418 388192 388224 421092 436716 452928 481248 499072 499104 509544 561456 563127 582288 582336 584021 641664 655074 665472 679392 748608 748656 750836 776384 842184 873432 905856 962496 965281 998208 1019088 1122912 1126254 1164576 1164672 1168042 1310148 1313963 1358784 1497216 1497312 1501672 1552768 1684368 1689381 1746864 1752063 1924992 1930562 1996416 2038176 2245824 2252508 2329152 2336084 2620296 2627926 2717568 2895843 2994624 3003289 3003344 3368736 3378762 3493728 3504126 3861124 3941889 4076352 4088147 4491648 4505016 4658304 4672168 5068143 5240592 5255852 5256189 5791686 5989248 6006578 6006688 6737472 6756967 6757524 6987456 7008252 7722248 7883778 8152704 8176294 8687529 9009867 9010032 9344336 10136286 10481184 10511704 10512378 11583372 11825667 12013156 12013376 12264441 13474944 13513934 13515048 13974912 14016504 15444496 15767556 15768567 16352588 17375058 18019734 18020064 18688672 20270901 20272572 20962368 21023023 21023408 21024756 23166744 23651334 24026312 24026752 24528882 26062587 27027868 27029601 27030096 28033008 30888992 31535112 31537134 32705176 34750116 35477001 36039468 36040128 36793323 37377344 40541802 40545144 41924736 42046046 42046816 42049512 46333488 47302668 48052624 49057764 52125174 54055736 54059202 54060192 56066016 60812703 61777984 63069069 63070224 63074268 65410352 69500232 70954002 72078936 72080256 73586646 74754688 81083604 81088803 81090288 84092092 84093632 84099024 92666976 94605336 96105248 98115528 104250348 108111472 108118404 108120384 110379969 112132032 121625406 123555968 126138138 126140448 126148536 130820704 139000464 141908004 144157872 147173292 162167208 162177606 162180576 168184184 168187264 168198048 182438109 185333952 189207207 189210672 192210496 196231056 208500696 216222944 216236808 216240768 220759938 224264064 243250812 252276276 252280896 252297072 261641408 278000928 283816008 288315744 294346584 324334416 324355212 324361152 325299697 336368368 336396096 364876218 370667904 378414414 378421344 384420992 392462112 417001392 432445888 432473616 441519876 486501624 504552552 504561792 504594144 523282816 556001856 567621621 567632016 576631488 588693168 648668832 648710424 648722304 650599394 672736736 672792192 729752436 756828828 756842688 784924224 834002784 864891776 864947232 883039752 973003248 975899091 1009105104 1009188288 1012108393 1112003712 1135243242 1135264032 1153262976 1177386336 1297337664 1297420848 1301198788 1345473472 1459504872 1513657656 1513685376 1569848448 1668005568 1672831973 1729894464 1766079504 1946006496 1951798182 2018210208 2018376576 2024216786 2270486484 2270528064 2277097879 2354772672 2594675328 2594841696 2602397576 2690946944 2919009744 2927697273 3027315312 3036325179 3336011136 3345663946 3459788928 3532159008 3892012992 3903596364 4036420416 4048433572 4540972968 4541056128 4554195758 4709545344 5018495919 5189683392 5204795152 5838019488 5855394546 6054630624 6072650358 6691327892 6831293637 7064318016 7084758751 7784025984 7807192728 8072840832 8096867144 8783091819 9081945936 9108391516 9108975537 10036991838 10379366784 10409590304 11676038976 11709823811 11710789092 12109261248 12145300716 13382655784 13662587274 14128636032 14169517502 15055487757 15614385456 16193734288 17566183638 18163891872 18216783032 18217951074 20073983676 20493880911 20819180608 21254276253 23352077952 23419647622 23421578184 24218522496 24290601432 26765311568 27325174548 27326926611 28339035004 30110975514 31228770912 32387468576 35129471433 35132367276 36327783744 36433566064 36435902148 40147967352 40987761822 41638361216 42508552506 45166463271 46839295244 46843156368 48581202864 53530623136 54650349096 54653853222 56678070008 60221951028 61481642733 62457541824 63762828759 64774937152 70258942866 70264734552 72655567488 72867132128 72871804296 80295934704 81975523644 85017105012 90332926542 93678590488 93686312736 97162405728 105388414299 107061246272 109300698192 109307706444 113356140016 120443902056 122963285466 124915083648 127525657518 129549874304 140517885732 140529469104 145734264256 145743608592 160591869408 163951047288 170034210024 180665853084 187357180976 187372625472 191288486277 194324811456 210776828598 214122492544 218601396384 218615412888 226712280032 240887804112 245926570932 255051315036 281035771464 281058938208 291468528512 291487217184 316165242897 321183738816 327902094576 340068420048 361331706168 374714361952 374745250944 382576972554 388649622912 421553657196 437202792768 437230825776 453424560064 481775608224 491853141864 510102630072 562071542928 562117876416 563744374901 582974434368 632330485794 642367477632 655804189152 680136840096 722663412336 749428723904 765153945108 843107314392 874405585536 874461651552 906849120128 963551216448 983706283728 1020205260144 1124143085856 1124235752832 1127488749802 1165948868736 1264660971588 1311608378304 1360273680192 1445326824672 1498857447808 1530307890216 1686214628784 1691233124703 1748923303104 1927102432896 1967412567456 2040410520288 2248286171712 2254977499604 2529321943176 2623216756608 2720547360384 2890653649344 3060615780432 3372429257568 3382466249406 3497846606208 3934825134912 3946210624307 4080821040576 4496572343424 4509954999208 5058643886352 5073699374109 5781307298688 6121231560864 6744858515136 6764932498812 7869650269824 7892421248614 8161642081152 9019909998416 10117287772704 10147398748218 11838631872921 12242463121728 13489717030272 13529864997624 15221098122327 15784842497228 18039819996832 20234575545408 20294797496436 23677263745842 24484926243456 27059729995248 30442196244654 31569684994456 35515895618763 36079639993664 40469151090816 40589594992872 47354527491684 54119459990496 60884392489308 63139369988912 71031791237526 72159279987328 81179189985744 94709054983368 106547686856289 108238919980992 121768784978616 126278739977824 142063582475052 162358379971488 189418109966736 213095373712578 216477839961984 243537569957232 252557479955648 284127164950104 324716759942976 378836219933472 426190747425156 487075139914464 505114959911296 568254329900208 649433519885952 757672439866944 852381494850312 974150279828928 1136508659800416 1515344879733888 1704762989700624 1948300559657856 2273017319600832 3409525979401248 4546034639201664 6819051958802496 13638103917604992
- Sum of all divisors σ(n): 46247563603987200
- Sum of proper divisors (its aliquot sum) s(n): 32609459686382208
- 13638103917604992 is an abundant number, because the sum of its proper divisors (32609459686382208) is greater than itself. Its abundance is 18971355768777216
Bases of 13638103917604992
- Binary: 1100000111001111001000100000110110101100110000100000002
- Hexadecimal: 0x3073C8836B3080
- Base-36: 3QAAYG34TC0
Squares and roots of 13638103917604992
- 13638103917604992 squared (136381039176049922) is 185997878467392630419273343320064
- 13638103917604992 cubed (136381039176049923) is 2536658394992364618187769938089667641612580159488
-
The
square root of 13638103917604992 is 116782292.8256034541 -
The
cube root of 13638103917604992 is 238919.3539732501
Scales and comparisons
How big is 13638103917604992?- 13,638,103,917,604,992 seconds is equal to 433,649,519 years, 8 weeks, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 13,638,103,917,604,992 would take you about one billion, three hundred million, nine hundred forty-eight thousand, five hundred fifty-seven 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 13638103917604992 cubic inches would be around 19909.9 feet tall.
Recreational maths with 13638103917604992
- 13638103917604992 backwards is 29940671930183631
- 13638103917604992 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13638103917604992's digits is 72
- More coming soon!
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The information we have on file for 13638103917604992 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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