13664283833401344
13,664,283,833,401,344 is an even composite number composed of five prime numbers multiplied together.
What does the number 13664283833401344 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
13664283833401344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13664283833401344:
235 × 33 × 11 × 13 × 103
(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 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 103)See below for interesting mathematical facts about the number 13664283833401344 from the Numbermatics database.
Names of 13664283833401344
- Cardinal: 13664283833401344 can be written as Thirteen quadrillion, six hundred sixty-four trillion, two hundred eighty-three billion, eight hundred thirty-three million, four hundred one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.3664283833401344 × 1016
Factors of 13664283833401344
Divisors of 13664283833401344
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 88 96 99 103 104 108 117 128 132 143 144 156 176 192 198 206 208 216 234 256 264 286 288 297 309 312 351 352 384 396 412 416 429 432 468 512 528 572 576 594 618 624 702 704 768 792 824 832 858 864 927 936 1024 1056 1133 1144 1152 1188 1236 1248 1287 1339 1404 1408 1536 1584 1648 1664 1716 1728 1854 1872 2048 2112 2266 2288 2304 2376 2472 2496 2574 2678 2781 2808 2816 3072 3168 3296 3328 3399 3432 3456 3708 3744 3861 4017 4096 4224 4532 4576 4608 4752 4944 4992 5148 5356 5562 5616 5632 6144 6336 6592 6656 6798 6864 6912 7416 7488 7722 8034 8192 8448 9064 9152 9216 9504 9888 9984 10197 10296 10712 11124 11232 11264 12051 12288 12672 13184 13312 13596 13728 13824 14729 14832 14976 15444 16068 16384 16896 18128 18304 18432 19008 19776 19968 20394 20592 21424 22248 22464 22528 24102 24576 25344 26368 26624 27192 27456 27648 29458 29664 29952 30591 30888 32136 32768 33792 36153 36256 36608 36864 38016 39552 39936 40788 41184 42848 44187 44496 44928 45056 48204 49152 50688 52736 53248 54384 54912 55296 58916 59328 59904 61182 61776 64272 65536 67584 72306 72512 73216 73728 76032 79104 79872 81576 82368 85696 88374 88992 89856 90112 96408 98304 101376 105472 106496 108768 109824 110592 117832 118656 119808 122364 123552 128544 131072 132561 135168 144612 145024 146432 147456 152064 158208 159744 163152 164736 171392 176748 177984 179712 180224 192816 196608 202752 210944 212992 217536 219648 221184 235664 237312 239616 244728 247104 257088 262144 265122 270336 289224 290048 292864 294912 304128 316416 319488 326304 329472 342784 353496 355968 359424 360448 385632 393216 397683 405504 421888 425984 435072 439296 442368 471328 474624 479232 489456 494208 514176 524288 530244 540672 578448 580096 585728 589824 608256 632832 638976 652608 658944 685568 706992 711936 718848 720896 771264 786432 795366 811008 843776 851968 870144 878592 884736 942656 949248 958464 978912 988416 1028352 1048576 1060488 1081344 1156896 1160192 1171456 1179648 1216512 1265664 1277952 1305216 1317888 1371136 1413984 1423872 1437696 1441792 1542528 1572864 1590732 1622016 1687552 1703936 1740288 1757184 1769472 1885312 1898496 1916928 1957824 1976832 2056704 2097152 2120976 2162688 2313792 2320384 2342912 2359296 2433024 2531328 2555904 2610432 2635776 2742272 2827968 2847744 2875392 2883584 3085056 3145728 3181464 3244032 3375104 3407872 3480576 3514368 3538944 3770624 3796992 3833856 3915648 3953664 4113408 4194304 4241952 4325376 4627584 4640768 4685824 4718592 4866048 5062656 5111808 5220864 5271552 5484544 5655936 5695488 5750784 5767168 6170112 6291456 6362928 6488064 6750208 6815744 6961152 7028736 7077888 7541248 7593984 7667712 7831296 7907328 8226816 8388608 8483904 8650752 9255168 9281536 9371648 9437184 9732096 10125312 10223616 10441728 10543104 10969088 11311872 11390976 11501568 11534336 12340224 12582912 12725856 12976128 13500416 13631488 13922304 14057472 14155776 15082496 15187968 15335424 15662592 15814656 16453632 16777216 16967808 17301504 18510336 18563072 18743296 18874368 19464192 20250624 20447232 20883456 21086208 21938176 22623744 22781952 23003136 23068672 24680448 25165824 25451712 25952256 27000832 27262976 27844608 28114944 28311552 30164992 30375936 30670848 31325184 31629312 32907264 33554432 33935616 34603008 37020672 37126144 37486592 37748736 38928384 40501248 40894464 41766912 42172416 43876352 45247488 45563904 46006272 46137344 49360896 50331648 50903424 51904512 54001664 54525952 55689216 56229888 56623104 60329984 60751872 61341696 62650368 63258624 65814528 67108864 67871232 69206016 74041344 74252288 74973184 75497472 77856768 81002496 81788928 83533824 84344832 87752704 90494976 91127808 92012544 92274688 98721792 100663296 101806848 103809024 108003328 109051904 111378432 112459776 113246208 120659968 121503744 122683392 125300736 126517248 131629056 134217728 135742464 138412032 148082688 148504576 149946368 150994944 155713536 162004992 163577856 167067648 168689664 175505408 180989952 182255616 184025088 184549376 197443584 201326592 203613696 207618048 216006656 218103808 222756864 224919552 226492416 241319936 243007488 245366784 250601472 253034496 263258112 268435456 271484928 276824064 296165376 297009152 299892736 301989888 311427072 324009984 327155712 334135296 337379328 351010816 361979904 364511232 368050176 369098752 394887168 402653184 407227392 415236096 432013312 436207616 445513728 449839104 452984832 482639872 486014976 490733568 501202944 506068992 526516224 536870912 542969856 553648128 592330752 594018304 599785472 603979776 622854144 648019968 654311424 668270592 674758656 702021632 723959808 729022464 736100352 738197504 789774336 805306368 814454784 830472192 864026624 872415232 891027456 899678208 905969664 965279744 972029952 981467136 1002405888 1012137984 1053032448 1073741824 1085939712 1107296256 1184661504 1188036608 1199570944 1207959552 1245708288 1296039936 1308622848 1336541184 1349517312 1404043264 1447919616 1458044928 1472200704 1476395008 1579548672 1610612736 1628909568 1660944384 1728053248 1744830464 1782054912 1799356416 1811939328 1930559488 1944059904 1962934272 2004811776 2024275968 2106064896 2147483648 2171879424 2214592512 2369323008 2376073216 2399141888 2415919104 2491416576 2592079872 2617245696 2673082368 2699034624 2808086528 2895839232 2916089856 2944401408 2952790016 3159097344 3221225472 3257819136 3321888768 3456106496 3489660928 3564109824 3598712832 3623878656 3861118976 3888119808 3925868544 4009623552 4048551936 4212129792 4294967296 4343758848 4429185024 4738646016 4752146432 4798283776 4831838208 4982833152 5184159744 5234491392 5346164736 5398069248 5616173056 5791678464 5832179712 5888802816 5905580032 6318194688 6442450944 6515638272 6643777536 6912212992 6979321856 7128219648 7197425664 7247757312 7722237952 7776239616 7851737088 8019247104 8097103872 8424259584 8589934592 8687517696 8858370048 9477292032 9504292864 9596567552 9663676416 9965666304 10368319488 10468982784 10692329472 10796138496 11232346112 11583356928 11664359424 11777605632 11811160064 12636389376 12884901888 13031276544 13287555072 13824425984 13958643712 14256439296 14394851328 14495514624 15444475904 15552479232 15703474176 16038494208 16194207744 16848519168 17179869184 17375035392 17716740096 18954584064 19008585728 19193135104 19327352832 19931332608 20736638976 20937965568 21384658944 21592276992 22464692224 23166713856 23328718848 23555211264 23622320128 25272778752 25769803776 26062553088 26575110144 27648851968 27917287424 28512878592 28789702656 28991029248 30888951808 31104958464 31406948352 32076988416 32388415488 33697038336 34359738368 34750070784 35433480192 37909168128 38017171456 38386270208 38654705664 39862665216 41473277952 41875931136 42769317888 43184553984 44929384448 46333427712 46657437696 47110422528 47244640256 50545557504 51539607552 52125106176 53150220288 55297703936 55834574848 57025757184 57579405312 57982058496 61777903616 62209916928 62813896704 64153976832 64776830976 67394076672 69500141568 70866960384 75818336256 76034342912 76772540416 77309411328 79725330432 82946555904 83751862272 85538635776 86369107968 89858768896 92666855424 93314875392 94220845056 94489280512 101091115008 103079215104 104250212352 106300440576 110595407872 111669149696 114051514368 115158810624 115964116992 123555807232 124419833856 125627793408 128307953664 129553661952 134788153344 139000283136 141733920768 151636672512 152068685824 153545080832 154618822656 159450660864 165893111808 167503724544 171077271552 172738215936 179717537792 185333710848 186629750784 188441690112 188978561024 202182230016 208500424704 212600881152 221190815744 223338299392 228103028736 230317621248 231928233984 247111614464 248839667712 251255586816 256615907328 259107323904 269576306688 278000566272 283467841536 303273345024 304137371648 307090161664 309237645312 318901321728 331786223616 335007449088 342154543104 345476431872 359435075584 370667421696 373259501568 376883380224 377957122048 404364460032 417000849408 425201762304 442381631488 446676598784 456206057472 460635242496 463856467968 494223228928 497679335424 502511173632 513231814656 518214647808 539152613376 556001132544 566935683072 606546690048 608274743296 614180323328 637802643456 663572447232 670014898176 684309086208 690952863744 718870151168 741334843392 746519003136 753766760448 808728920064 834001698816 850403524608 884763262976 912412114944 921270484992 927712935936 988446457856 995358670848 1005022347264 1026463629312 1036429295616 1078305226752 1112002265088 1133871366144 1213093380096 1216549486592 1228360646656 1275605286912 1327144894464 1340029796352 1368618172416 1381905727488 1437740302336 1482669686784 1493038006272 1507533520896 1617457840128 1668003397632 1700807049216 1769526525952 1824824229888 1842540969984 1976892915712 1990717341696 2010044694528 2052927258624 2072858591232 2156610453504 2224004530176 2426186760192 2433098973184 2456721293312 2551210573824 2654289788928 2737236344832 2763811454976 2875480604672 2965339373568 2986076012544 3015067041792 3234915680256 3336006795264 3401614098432 3539053051904 3649648459776 3685081939968 3953785831424 3981434683392 4020089389056 4105854517248 4145717182464 4313220907008 4448009060352 4852373520384 4866197946368 4913442586624 5102421147648 5308579577856 5474472689664 5527622909952 5750961209344 5930678747136 5972152025088 6030134083584 6469831360512 6672013590528 7299296919552 7370163879936 7907571662848 7962869366784 8211709034496 8291434364928 8626441814016 8896018120704 9704747040768 9732395892736 10204842295296 10617159155712 10948945379328 11055245819904 11501922418688 11861357494272 11944304050176 12060268167168 12939662721024 13344027181056 14598593839104 14740327759872 15815143325696 15925738733568 16423418068992 16582868729856 17252883628032 17792036241408 19409494081536 19464791785472 21897890758656 22110491639808 23003844837376 23722714988544 23888608100352 25879325442048 26688054362112 29197187678208 31630286651392 31851477467136 32846836137984 33165737459712 34505767256064 35584072482816 38818988163072 38929583570944 43795781517312 44220983279616 46007689674752 47445429977088 47777216200704 51758650884096 53376108724224 58394375356416 63260573302784 65693672275968 66331474919424 69011534512128 71168144965632 77637976326144 87591563034624 94890859954176 95554432401408 103517301768192 106752217448448 116788750712832 126521146605568 131387344551936 132662949838848 138023069024256 142336289931264 155275952652288 175183126069248 189781719908352 207034603536384 213504434896896 253042293211136 262774689103872 284672579862528 310551905304576 350366252138496 379563439816704 414069207072768 427008869793792 506084586422272 525549378207744 569345159725056 621103810609152 759126879633408 854017739587584 1051098756415488 1138690319450112 1242207621218304 1518253759266816 1708035479175168 2277380638900224 3416070958350336 4554761277800448 6832141916700672 13664283833401344
- Sum of all divisors σ(n): 48026667900556800
- Sum of proper divisors (its aliquot sum) s(n): 34362384067155456
- 13664283833401344 is an abundant number, because the sum of its proper divisors (34362384067155456) is greater than itself. Its abundance is 20698100233754112
Bases of 13664283833401344
- Binary: 1100001000101110011000000000000000000000000000000000002
- Hexadecimal: 0x308B9800000000
- Base-36: 3QJL1C11XC0
Squares and roots of 13664283833401344
- 13664283833401344 squared (136642838334013442) is 186712652679753328550504181006336
- 13664283833401344 cubed (136642838334013443) is 2551294681503433536617694524417556225387694915584
-
The
square root of 13664283833401344 is 116894327.6356955825 -
The
cube root of 13664283833401344 is 239072.1340210413
Scales and comparisons
How big is 13664283833401344?- 13,664,283,833,401,344 seconds is equal to 434,481,959 years, 25 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,664,283,833,401,344 would take you about one billion, three hundred three million, four hundred forty-five thousand, eight hundred seventy-eight 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 13664283833401344 cubic inches would be around 19922.7 feet tall.
Recreational maths with 13664283833401344
- 13664283833401344 backwards is 44310433838246631
- The number of decimal digits it has is: 17
- The sum of 13664283833401344's digits is 63
- More coming soon!
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"Number 13664283833401344 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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The information we have on file for 13664283833401344 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 13664283833401344, math, Factors of 13664283833401344, curriculum, school, college, exams, university, Prime factorization of 13664283833401344, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred sixty-four trillion, two hundred eighty-three billion, eight hundred thirty-three million, four hundred one thousand, three hundred forty-four.