13585338979057664
13,585,338,979,057,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 13585338979057664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
13585338979057664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13585338979057664:
227 × 72 × 132 × 17 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 17 × 719)See below for interesting mathematical facts about the number 13585338979057664 from the Numbermatics database.
Names of 13585338979057664
- Cardinal: 13585338979057664 can be written as Thirteen quadrillion, five hundred eighty-five trillion, three hundred thirty-eight billion, nine hundred seventy-nine million, fifty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3585338979057664 × 1016
Factors of 13585338979057664
Divisors of 13585338979057664
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 64 68 91 98 104 112 119 128 136 169 182 196 208 221 224 238 256 272 338 364 392 416 442 448 476 512 544 637 676 719 728 784 832 833 884 896 952 1024 1088 1183 1274 1352 1438 1456 1547 1568 1664 1666 1768 1792 1904 2048 2176 2366 2548 2704 2873 2876 2912 3094 3136 3328 3332 3536 3584 3808 4096 4352 4732 5033 5096 5408 5746 5752 5824 6188 6272 6656 6664 7072 7168 7616 8192 8281 8704 9347 9464 10066 10192 10816 10829 11492 11504 11648 12223 12376 12544 13312 13328 14144 14336 15232 16384 16562 17408 18694 18928 20111 20132 20384 21632 21658 22984 23008 23296 24446 24752 25088 26624 26656 28288 28672 30464 32768 33124 34816 35231 37388 37856 40222 40264 40768 43264 43316 45968 46016 46592 48892 49504 50176 53248 53312 56576 57344 60928 65429 65536 66248 69632 70462 74776 75712 80444 80528 81536 85561 86528 86632 91936 92032 93184 97784 99008 100352 106496 106624 113152 114688 121511 121856 130858 131072 132496 139264 140777 140924 149552 151424 158899 160888 161056 163072 171122 173056 173264 183872 184064 186368 195568 198016 200704 212992 213248 226304 229376 243022 243712 261716 262144 264992 278528 281554 281848 299104 302848 317798 321776 322112 326144 342244 346112 346528 367744 368128 372736 391136 396032 401408 425984 426496 452608 458003 458752 486044 487424 523432 524288 529984 557056 563108 563696 598208 598927 605696 635596 643552 644224 652288 684488 692224 693056 735488 736256 745472 782272 792064 802816 850577 851968 852992 905216 916006 917504 972088 974848 1046864 1048576 1059968 1112293 1114112 1126216 1127392 1196416 1197854 1211392 1271192 1287104 1288448 1304576 1368976 1384448 1386112 1470976 1472512 1490944 1564544 1584128 1605632 1701154 1703936 1705984 1810432 1832012 1835008 1944176 1949696 2065687 2093728 2097152 2119936 2224586 2228224 2252432 2254784 2392832 2395708 2422784 2542384 2574208 2576896 2609152 2737952 2768896 2772224 2941952 2945024 2981888 3129088 3168256 3211264 3402308 3407872 3411968 3620864 3664024 3670016 3888352 3899392 4131374 4187456 4194304 4239872 4449172 4456448 4504864 4509568 4785664 4791416 4845568 5084768 5148416 5153792 5218304 5475904 5537792 5544448 5883904 5890048 5954039 5963776 6258176 6336512 6422528 6804616 6815744 6823936 7241728 7328048 7340032 7776704 7786051 7798784 8262748 8374912 8388608 8479744 8898344 8912896 9009728 9019136 9571328 9582832 9691136 10169536 10296832 10307584 10436608 10951808 11075584 11088896 11767808 11780096 11908078 11927552 12516352 12673024 12845056 13609232 13631488 13647872 14459809 14483456 14656096 14680064 15553408 15572102 15597568 16525496 16749824 16777216 16959488 17796688 17825792 18019456 18038272 19142656 19165664 19382272 20339072 20593664 20615168 20873216 21903616 22151168 22177792 23535616 23560192 23816156 23855104 25032704 25346048 25690112 27218464 27262976 27295744 28919618 28966912 29312192 29360128 31106816 31144204 31195136 33050992 33499648 33554432 33918976 35593376 35651584 36038912 36076544 38285312 38331328 38764544 40678144 41187328 41230336 41746432 43807232 44302336 44355584 47071232 47120384 47632312 47710208 50065408 50692096 51380224 54436928 54525952 54591488 57839236 57933824 58624384 58720256 62213632 62288408 62390272 66101984 66999296 67108864 67837952 71186752 71303168 72077824 72153088 76570624 76662656 77529088 81356288 82374656 82460672 83492864 87614464 88604672 88711168 94142464 94240768 95264624 95420416 100130816 101218663 101384192 102760448 108873856 109051904 109182976 115678472 115867648 117248768 117440512 124427264 124576816 124780544 132203968 133998592 134217728 135675904 142373504 142606336 144155648 144306176 153141248 153325312 155058176 162712576 164749312 164921344 166985728 175228928 177209344 177422336 188284928 188481536 190529248 190840832 200261632 202437326 202768384 205520896 217747712 218103808 218365952 231356944 231735296 234497536 234881024 248854528 249153632 249561088 264407936 267997184 271351808 284747008 285212672 288311296 288612352 306282496 306650624 310116352 325425152 329498624 329842688 333971456 350457856 354418688 354844672 376569856 376963072 381058496 381681664 400523264 404874652 405536768 411041792 435495424 436207616 436731904 462713888 463470592 468995072 469762048 497709056 498307264 499122176 528815872 535994368 542703616 569494016 570425344 576622592 577224704 612564992 613301248 620232704 650850304 658997248 659685376 667942912 700915712 708837376 709689344 753139712 753926144 762116992 763363328 801046528 809749304 811073536 822083584 870990848 872415232 873463808 925427776 926941184 937990144 939524096 995418112 996614528 998244352 1057631744 1071988736 1085407232 1138988032 1140850688 1153245184 1154449408 1225129984 1226602496 1240465408 1301700608 1317994496 1319370752 1335885824 1401831424 1417674752 1419378688 1506279424 1507852288 1524233984 1526726656 1602093056 1619498608 1622147072 1644167168 1741981696 1744830464 1746927616 1850855552 1853882368 1875980288 1990836224 1993229056 1996488704 2115263488 2143977472 2170814464 2277976064 2281701376 2306490368 2308898816 2450259968 2453204992 2480930816 2603401216 2635988992 2638741504 2671771648 2803662848 2835349504 2838757376 3012558848 3015704576 3048467968 3053453312 3204186112 3238997216 3244294144 3288334336 3483963392 3493855232 3701711104 3707764736 3751960576 3981672448 3986458112 3992977408 4230526976 4287954944 4341628928 4555952128 4612980736 4617797632 4900519936 4906409984 4961861632 5206802432 5271977984 5277483008 5343543296 5607325696 5670699008 5677514752 6025117696 6031409152 6096935936 6106906624 6408372224 6477994432 6488588288 6576668672 6967926784 6987710464 7403422208 7415529472 7503921152 7963344896 7972916224 7985954816 8461053952 8575909888 8683257856 9111904256 9225961472 9235595264 9801039872 9812819968 9923723264 10413604864 10543955968 10554966016 10687086592 11214651392 11341398016 11355029504 12050235392 12062818304 12193871872 12213813248 12816744448 12955988864 12977176576 13935853568 13975420928 14806844416 14831058944 15007842304 15926689792 15945832448 15971909632 16922107904 17151819776 17366515712 18223808512 18451922944 18471190528 19602079744 19625639936 19847446528 20827209728 21087911936 21109932032 21374173184 22429302784 22682796032 22710059008 24100470784 24125636608 24387743744 25633488896 25911977728 25954353152 27871707136 27950841856 29613688832 29662117888 30015684608 31853379584 31891664896 33844215808 34303639552 34733031424 36447617024 36903845888 36942381056 39204159488 39251279872 39694893056 41654419456 42175823872 42219864064 42748346368 44858605568 45420118016 48200941568 48251273216 48775487488 51266977792 51823955456 51908706304 55743414272 55901683712 59227377664 60031369216 63706759168 63783329792 67688431616 68607279104 69466062848 72895234048 73807691776 73884762112 78408318976 78502559744 79389786112 83308838912 84351647744 84439728128 85496692736 89717211136 90840236032 96401883136 96502546432 97550974976 102533955584 103647910912 103817412608 111486828544 111803367424 118454755328 120062738432 127413518336 127566659584 135376863232 137214558208 138932125696 145790468096 147615383552 147769524224 156816637952 157005119488 158779572224 166617677824 168703295488 168879456256 179434422272 181680472064 192803766272 195101949952 205067911168 207295821824 207634825216 222973657088 236909510656 240125476864 254827036672 255133319168 270753726464 274429116416 277864251392 291580936192 295230767104 295539048448 313633275904 314010238976 333235355648 337406590976 337758912512 358868844544 363360944128 385607532544 390203899904 410135822336 414591643648 445947314176 473819021312 480250953728 509654073344 510266638336 541507452928 548858232832 555728502784 583161872384 590461534208 591078096896 627266551808 628020477952 666470711296 674813181952 675517825024 717737689088 726721888256 780407799808 820271644672 829183287296 891894628352 947638042624 960501907456 1019308146688 1020533276672 1083014905856 1097716465664 1111457005568 1166323744768 1180923068416 1182156193792 1254533103616 1256040955904 1332941422592 1349626363904 1435475378176 1453443776512 1560815599616 1640543289344 1658366574592 1783789256704 1895276085248 1921003814912 2038616293376 2041066553344 2166029811712 2195432931328 2332647489536 2361846136832 2364312387584 2512081911808 2665882845184 2699252727808 2870950756352 3121631199232 3316733149184 3567578513408 3790552170496 3842007629824 4077232586752 4082133106688 4332059623424 4390865862656 4665294979072 4723692273664 4728624775168 5024163823616 5331765690368 5741901512704 6243262398464 6633466298368 7135157026816 7581104340992 7684015259648 8154465173504 8164266213376 8664119246848 8781731725312 9330589958144 9447384547328 10048327647232 10663531380736 11483803025408 12486524796928 13266932596736 14270314053632 15162208681984 15368030519296 16308930347008 16328532426752 17328238493696 18661179916288 18894769094656 20096655294464 21327062761472 24973049593856 26533865193472 28540628107264 30324417363968 30736061038592 32657064853504 34656476987392 37322359832576 40193310588928 49946099187712 53067730386944 57081256214528 60648834727936 61472122077184 65314129707008 69312953974784 74644719665152 80386621177856 99892198375424 106135460773888 114162512429056 121297669455872 130628259414016 138625907949568 149289439330304 199784396750848 212270921547776 242595338911744 261256518828032 277251815899136 399568793501696 424541843095552 485190677823488 522513037656064 799137587003392 849083686191104 970381355646976 1045026075312128 1698167372382208 1940762711293952 3396334744764416 6792669489528832 13585338979057664
- Sum of all divisors σ(n): 36288650995120800
- Sum of proper divisors (its aliquot sum) s(n): 22703312016063136
- 13585338979057664 is an abundant number, because the sum of its proper divisors (22703312016063136) is greater than itself. Its abundance is 9117973037005472
Bases of 13585338979057664
- Binary: 1100000100001111001011001110000000000000000000000000002
- Hexadecimal: 0x3043CB38000000
- Base-36: 3PRLMKH2MM8
Squares and roots of 13585338979057664
- 13585338979057664 squared (135853389790576642) is 184561435175903532414773437136896
- 13585338979057664 cubed (135853389790576643) is 2507329659326026531056194872282844883348245970944
-
The
square root of 13585338979057664 is 116556162.3384094781 -
The
cube root of 13585338979057664 is 238610.8345941209
Scales and comparisons
How big is 13585338979057664?- 13,585,338,979,057,664 seconds is equal to 431,971,757 years, 16 weeks, 5 days, 27 minutes, 44 seconds.
-
To count from 1 to 13,585,338,979,057,664 would take you about one billion, two hundred ninety-five million, nine hundred fifteen thousand, two hundred seventy-one 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 13585338979057664 cubic inches would be around 19884.2 feet tall.
Recreational maths with 13585338979057664
- 13585338979057664 backwards is 46675097983358531
- The number of decimal digits it has is: 17
- The sum of 13585338979057664's digits is 89
- 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 13585338979057664 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 13585338979057664 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13585338979057664/
Chicago style:
Numbermatics. 2024. "Number 13585338979057664 - Facts about the integer". https://numbermatics.com/n/13585338979057664/
The information we have on file for 13585338979057664 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 13585338979057664, math, Factors of 13585338979057664, curriculum, school, college, exams, university, Prime factorization of 13585338979057664, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, five hundred eighty-five trillion, three hundred thirty-eight billion, nine hundred seventy-nine million, fifty-seven thousand, six hundred sixty-four.