13728971809138176
13,728,971,809,138,176 is an even composite number composed of five prime numbers multiplied together.
13728971809138176 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 13728971809138176:
29 × 33 × 172 × 314 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 17 × 31 × 31 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 13728971809138176 from the Numbermatics database.
Names of 13728971809138176
- Cardinal: 13728971809138176 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, nine hundred seventy-one billion, eight hundred nine million, one hundred thirty-eight thousand, one hundred seventy-six.
Scientific notation
- Scientific notation: 1.3728971809138176 × 1016
Factors of 13728971809138176
Divisors of 13728971809138176
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 48 51 54 61 62 64 68 72 93 96 102 108 122 124 128 136 144 153 183 186 192 204 216 244 248 256 272 279 288 289 306 366 372 384 408 432 459 488 496 512 527 544 549 558 576 578 612 732 744 768 816 837 864 867 918 961 976 992 1037 1054 1088 1098 1116 1152 1156 1224 1464 1488 1536 1581 1632 1647 1674 1728 1734 1836 1891 1922 1952 1984 2074 2108 2176 2196 2232 2304 2312 2448 2601 2883 2928 2976 3111 3162 3264 3294 3348 3456 3468 3672 3721 3782 3844 3904 3968 4148 4216 4352 4392 4464 4608 4624 4743 4896 5202 5673 5766 5856 5952 6222 6324 6528 6588 6696 6912 6936 7344 7442 7564 7688 7803 7808 7936 8296 8432 8649 8704 8784 8928 8959 9248 9333 9486 9792 10404 11163 11346 11532 11712 11904 12444 12648 13056 13176 13392 13824 13872 14229 14688 14884 15128 15376 15606 15616 15872 16337 16592 16864 17019 17298 17568 17629 17856 17918 18496 18666 18972 19584 20808 22326 22692 23064 23424 23808 24888 25296 25947 26112 26352 26784 26877 27744 27999 28458 29376 29768 29791 30256 30752 31212 31232 32147 32674 33184 33489 33728 34038 34596 35136 35258 35712 35836 36992 37332 37944 39168 41616 44652 45384 46128 46848 47616 49011 49776 50592 51057 51894 52704 52887 53568 53754 55488 55998 56916 58621 58752 59536 59582 60512 61504 62424 63257 64294 65348 66368 66978 67456 68076 69192 70272 70516 71424 71672 73984 74664 75888 78336 80631 83232 89304 89373 90768 92256 93696 96441 98022 99552 100467 101184 102114 103788 105408 105774 107136 107508 110976 111996 113832 115351 117242 117504 119072 119164 121024 123008 124848 126514 128588 130696 132736 133956 134912 136152 138384 140544 141032 142848 143344 147033 147968 149328 151776 158661 161262 166464 175863 178608 178746 181536 184512 189771 192882 196044 199104 200934 202368 204228 207576 210816 211548 214272 215016 221952 223992 227664 230702 234484 235008 238144 238328 241893 242048 246016 249696 253028 257176 261392 265472 267912 268119 269824 272304 276768 277729 281088 282064 286688 289323 294066 298656 303552 317322 322524 332928 346053 351726 357216 357492 363072 369024 379542 385764 392088 398208 401868 404736 408456 415152 421632 423096 428544 430032 441099 443904 447984 455328 461404 468968 475983 476288 476656 483786 484096 492032 499392 506056 506447 514352 522784 527589 530944 535824 536238 544608 546499 553536 555458 564128 569313 573376 578646 588132 597312 607104 634644 645048 665856 692106 703452 714432 714984 726144 738048 759084 771528 784176 796416 803736 804357 809472 816912 830304 833187 843264 846192 860064 867969 882198 895968 910656 922808 923521 937936 951966 952576 953312 967572 968192 996557 998784 1012112 1012894 1028704 1038159 1045568 1055178 1071648 1072476 1075369 1089216 1092998 1107072 1110916 1128256 1138626 1146752 1157292 1176264 1194624 1214208 1269288 1290096 1331712 1384212 1406904 1428864 1429968 1452288 1476096 1518168 1519341 1543056 1568352 1582767 1592832 1607472 1608714 1633824 1639497 1660608 1666374 1692384 1707939 1720128 1735938 1764396 1791936 1817251 1821312 1845616 1847042 1875872 1903932 1905152 1906624 1935144 1960967 1993114 1997568 2024224 2025788 2057408 2076318 2091136 2110356 2143296 2144952 2150738 2178432 2185996 2214144 2221832 2256512 2277252 2293504 2314584 2352528 2389248 2428416 2499561 2538576 2580192 2768424 2770563 2813808 2857728 2859936 2904576 2989671 3036336 3038682 3086112 3114477 3136704 3165534 3214944 3217428 3226107 3267648 3278994 3321216 3332748 3384768 3415878 3440256 3471876 3528792 3575881 3583872 3634502 3642624 3691232 3694084 3751744 3807864 3813248 3870288 3921934 3986228 3995136 4048448 4051576 4114816 4152636 4182272 4220712 4286592 4289904 4301476 4356864 4371992 4428288 4443664 4513024 4554504 4558023 4587008 4629168 4705056 4778496 4918491 4999122 5077152 5160384 5451753 5536848 5541126 5627616 5715456 5719872 5882901 5979342 6072672 6077364 6172224 6228954 6273408 6331068 6429888 6434856 6452214 6535296 6557988 6642432 6665496 6769536 6831756 6880512 6943752 7057584 7151762 7167744 7269004 7285248 7382464 7388168 7498683 7503488 7615728 7626496 7740576 7843868 7972456 8096896 8103152 8229632 8305272 8311689 8364544 8441424 8573184 8579808 8602952 8609599 8713728 8743984 8887328 8969013 9026048 9109008 9116046 9258336 9410112 9678321 9836982 9998244 10154304 10320768 10727643 10903506 11073696 11082252 11255232 11439744 11765802 11958684 12145344 12154728 12344448 12457908 12546816 12662136 12859776 12869712 12904428 13070592 13115976 13284864 13330992 13539072 13663512 13674069 13761024 13887504 14115168 14303524 14335488 14538008 14755473 14764928 14776336 14997366 15006976 15231456 15252992 15481152 15687736 15699857 15944912 16193792 16206304 16355259 16459264 16610544 16623378 16882848 16941469 17146368 17159616 17205904 17219198 17487968 17648703 17774656 17938026 18218016 18232092 18516672 18820224 19356642 19673964 19996488 20308608 20641536 21455286 21807012 22147392 22164504 22510464 22879488 23531604 23917368 24290688 24309456 24688896 24915816 24935067 25093632 25324272 25719552 25739424 25808856 25828797 26141184 26231952 26661984 26907039 27078144 27327024 27348138 27775008 28230336 28607048 29034963 29076016 29510946 29529856 29552672 29994732 30013952 30462912 30893267 30962304 31375472 31399714 31889824 32182929 32387584 32412608 32710518 33221088 33246756 33336439 33765696 33882938 34319232 34411808 34438396 34975936 35297406 35549312 35876052 36436032 36464184 37033344 37640448 38713284 39347928 39992976 40617216 41283072 42910572 43614024 44294784 44329008 45020928 45758976 47063208 47099571 47834736 48581376 48618912 49065777 49377792 49831632 49870134 50648544 50824407 51439104 51478848 51617712 51657594 52463904 52946109 53323968 53814078 54654048 54696276 55550016 56334781 56460672 57214096 58069926 58152032 59021892 59059712 59105344 59989464 60789977 60925824 61786534 61924608 62750944 62799428 63779648 64365858 64825216 65421036 66442176 66493512 66672878 67531392 67765876 68638464 68823616 68876792 69951872 70594812 71098624 71752104 72872064 72928368 74066688 75280896 77426568 77486391 78695856 79985952 81234432 85821144 87228048 88589568 88658016 90041856 92679801 94126416 94199142 95669472 96548787 97162752 97237824 98131554 99663264 99740268 100009317 101297088 101648814 102957696 103235424 103315188 104927808 105892218 106647936 107628156 109308096 109392552 110852311 111100032 112669562 112921344 114428192 116139852 116304064 118043784 118210688 119978928 121579954 121851648 123573068 123849216 125501888 125598856 127559296 128731716 129650432 130842072 132884352 132987024 133345756 135062784 135531752 137276928 137647232 137753584 139903744 141189624 141298713 142197248 143504208 145744128 145856736 148133376 152473221 154853136 154972782 157391712 159971904 169004343 171642288 174456096 177179136 177316032 182369931 185359602 188252832 188398284 191338944 193097574 194475648 196263108 199326528 199480536 200018634 202594176 203297628 205915392 206470848 206630376 209855616 211784436 213295872 215256312 218616192 218785104 221704622 222200064 225339124 225842688 228856384 232279704 232459173 232608128 236087568 236421376 239957856 243159908 243703296 247146136 251003776 251197712 255118592 257463432 259300864 261684144 265768704 265974048 266691512 266897569 270125568 271063504 275294464 275507168 278039403 279807488 282379248 282597426 287008416 291488256 291713472 300027951 304946442 309706272 309945564 314783424 319943808 332556933 338008686 343284576 348912192 354632064 364739862 370719204 376505664 376796568 382677888 386195148 388951296 392526216 398653056 398961072 400037268 405188352 406595256 411830784 412941696 413260752 419711232 423568872 423896139 426591744 430512624 437232384 437570208 443409244 444400128 450678248 457419663 457712768 464559408 464918346 465216256 472175136 472842752 479915712 486319816 494292272 502007552 502395424 507013029 510237184 514926864 523368288 525185539 531537408 531948096 533383024 533795138 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1595844288 1600149072 1601385414 1626381024 1641329379 1651766784 1653043008 1668236418 1694275488 1695584556 1722050496 1750280832 1773636976 1800167706 1802712992 1829678652 1830851072 1858237632 1859673384 1884489287 1888700544 1915382554 1919662848 1945279264 1977169088 1995341598 2009581696 2028052116 2059707456 2066859218 2093473152 2100742156 2127792384 2133532096 2135180552 2168508032 2188439172 2204057344 2224315224 2259033984 2260779408 2296067328 2333707776 2400223608 2402078121 2439571536 2477650176 2479564512 2518267392 2660455464 2704069488 2746276608 2791297536 2873073831 2917918896 2965753632 2993012397 3012045312 3014372544 3042078174 3089561184 3100288827 3140209728 3151113234 3191688576 3200298144 3202770828 3252762048 3282658758 3306086016 3336472836 3388550976 3391169112 3436421641 3444100992 3500561664 3547273952 3600335412 3605425984 3659357304 3716475264 3719346768 3768978574 3777401088 3830765108 3839325696 3890558528 3954338176 3990683196 4019163392 4056104232 4119414912 4133718436 4186946304 4201484312 4255584768 4267064192 4270361104 4337016064 4376878344 4408114688 4448630448 4518067968 4521558816 4592134656 4726669851 4800447216 4804156242 4879143072 4955300352 4959129024 5320910928 5408138976 5492553216 5653467861 5746147662 5835837792 5931507264 5986024794 6028745088 6084156348 6179122368 6200577654 6280419456 6302226468 6383377152 6400596288 6405541656 6505524096 6565317516 6612172032 6672945672 6777101952 6782338224 6872843282 6888201984 7001123328 7094547904 7200670824 7206234363 7210851968 7318714608 7432950528 7438693536 7537957148 7554802176 7661530216 7781117056 7908676352 7981366392 8038326784 8112208464 8238829824 8267436872 8373892608 8402968624 8534128384 8540722208 8619221493 8674032128 8753756688 8897260896 9036135936 9043117632 9300866481 9453339702 9600894432 9608312484 9758286144 9918258048 10309264923 10641821856 10816277952 11306935722 11492295324 11671675584 11863014528 11972049588 12057490176 12168312696 12358244736 12401155308 12560838912 12604452936 12766754304 12801192576 12811083312 13011048192 13130635032 13224344064 13345891344 13554203904 13564676448 13745686564 13776403968 14180009553 14189095808 14401341648 14412468726 14421703936 14637429216 14865901056 14877387072 15075914296 15323060432 15562234112 15817352704 15962732784 16224416928 16280751709 16477659648 16534873744 16805937248 16960403583 17068256768 17081444416 17238442986 17507513376 17794521792 18086235264 18601732962 18906679404 19201788864 19216624968 19516572288 19836516096 20618529846 21283643712 21632555904 22613871444 22984590648 23343351168 23726029056 23944099176 24114980352 24336625392 24716489472 24802310616 25121677824 25208905872 25602385152 25622166624 25857664479 26022096384 26261270064 26691782688 27108407808 27129352896 27491373128 27902599443 28360019106 28378191616 28802683296 28824937452 28843407872 29274858432 29754774144 30151828592 30646120864 30927794769 31124468224 31925465568 32036317879 32448833856 32561503418 33069747488 33611874496 33920807166 34162888832 34476885972 35015026752 35589043584 36172470528 37203465924 37813358808 38403577728 38433249936 39033144576 39673032192 41237059692 42567287424 43265111808 45227742888 45969181296 46686702336 47452058112 47888198352 48673250784 48842255127 49432978944 49604621232 50417811744 50881210749 51204770304 51244333248 51715328958 52522540128 53383565376 54258705792 54982746256 55805198886 56720038212 56756383232 57605366592 57649874904 58419167897 58549716864 59509548288 60303657184 61292241728 61855589538 63850931136 64072635758 64897667712 65123006836 66139494976 67223748992 67841614332 68325777664 68953771944 70030053504 71178087168 72344941056 74406931848 75626717616 76807155456 76866499872 78066289152 82474119384 85134574848 86530223616 90455485776 91938362592 92783384307 93373404672 95776396704 96108953637 97346501568 97684510254 99209242464 100835623488 101762421498 102488666496 103430657916 105045080256 106767130752 108517411584 109965492512 111610397772 113440076424 115210733184 115299749808 116838335794 117099433728 119019096576 120607314368 122584483456 123711179076 127701862272 128145271516 129795335424 130246013672 132278989952 134447497984 135683228664 136651555328 137907543888 140060107008 142356174336 146526765381 148813863696 151253435232 153614310912 153732999744 164948238768 170269149696 175257503691 180910971552 183876725184 185566768614 191552793408 192217907274 194693003136 195369020508 198418484928 201671246976 203524842996 204977332992 206861315832 210090160512 213534261504 217034823168 219930985024 223220795544 226880152848 230421466368 230599499616 233676671588 234198867456 241214628736 245168966912 247422358152 255403724544 256290543032 259590670848 260492027344 264557979904 268894995968 271366457328 275815087776 280120214016 288326860911 293053530762 297627727392 302506870464 307465999488 329896477536 350515007382 361821943104 367753450368 371133537228 383105586816 384435814548 389386006272 390738041016 396836969856 403342493952 407049685992 409954665984 413722631664 420180321024 427068523008 439580296143 439861970048 446441591088 453760305696 460842932736 461198999232 467353343176 482429257472 490337933824 494844716304 510807449088 512581086064 520984054688 525772511073 529115959808 542732914656 551630175552 576653721822 586107061524 595255454784 605013740928 614931998976 659792955072 701030014764 723643886208 735506900736 742267074456 766211173632 768871629096 778772012544 781476082032 793673939712 806684987904 814099371984 827445263328 840360642048 864980582733 879160592286 879723940096 892883182176 907520611392 922397998464 934706686352 964858514944 989689432608 993125854249 1025162172128 1041968109376 1051545022146 1085465829312 1103260351104 1153307443644 1172214123048 1190510909568 1210027481856 1229863997952 1319585910144 1402060029528 1447287772416 1471013801472 1484534148912 1532422347264 1537743258192 1562952164064 1577317533219 1587347879424 1628198743968 1654890526656 1729961165466 1758321184572 1759447880192 1785766364352 1815041222784 1844795996928 1869413372704 1979378865216 1986251708498 2050324344256 2083936218752 2103090044292 2170931658624 2206520702208 2306614887288 2344428246096 2381021819136 2420054963712 2639171820288 2804120059056 2894575544832 2969068297824 2979377562747 3075486516384 3125904328128 3154635066438 3256397487936 3309781053312 3459922330932 3516642369144 3571532728704 3630082445568 3689591993856 3738826745408 3958757730432 3972503416996 4100648688512 4167872437504 4206180088584 4341863317248 4413041404416 4613229774576 4688856492192 4762043638272 5278343640576 5608240118112 5938136595648 5958755125494 6150973032768 6251808656256 6309270132876 6512794975872 6619562106624 6919844661864 7033284738288 7143065457408 7260164891136 7477653490816 7917515460864 7945006833992 8201297377024 8335744875008 8412360177168 8683726634496 8938132688241 9226459549152 9377712984384 11216480236224 11876273191296 11917510250988 12301946065536 12503617312512 12618540265752 13025589951744 13239124213248 13839689323728 14066569476576 14286130914816 14955306981632 15835030921728 15890013667984 16402594754048 16824720354336 17876265376482 18452919098304 18755425968768 22432960472448 23752546382592 23835020501976 24603892131072 25007234625024 25237080531504 26051179903488 26814398064723 27679378647456 28133138953152 29910613963264 31780027335968 33649440708672 35752530752964 36905838196608 37510851937536 44865920944896 47505092765184 47670041003952 49207784262144 50474161063008 53628796129446 55358757294912 56266277906304 63560054671936 67298881417344 71505061505928 73811676393216 75021703875072 89731841889792 95340082007904 100948322126016 107257592258892 110717514589824 112532555812608 127120109343872 134597762834688 143010123011856 147623352786432 190680164015808 201896644252032 214515184517784 221435029179648 225065111625216 254240218687744 269195525669376 286020246023712 381360328031616 403793288504064 429030369035568 442870058359296 508480437375488 572040492047424 762720656063232 807586577008128 858060738071136 1144080984094848 1525441312126464 1716121476142272 2288161968189696 3432242952284544 4576323936379392 6864485904569088 13728971809138176
- Sum of all divisors σ(n): 45352114567788600
- Sum of proper divisors (its aliquot sum) s(n): 31623142758650424
- 13728971809138176 is an abundant number, because the sum of its proper divisors (31623142758650424) is greater than itself. Its abundance is 17894170949512248
Bases of 13728971809138176
- Binary: 1100001100011001101101010101111101000010100110000000002
- Hexadecimal: 0x30C66D57D0A600
- Base-36: 3R6IIKVM2O0
Squares and roots of 13728971809138176
- 13728971809138176 squared (137289718091381762) is 188484666936110761298379860606976
- 13728971809138176 cubed (137289718091381763) is 2587700678820663103305549384199688068358813515776
-
The
square root of 13728971809138176 is 117170695.1807412295 -
The
cube root of 13728971809138176 is 239448.8034019959
Scales and comparisons
How big is 13728971809138176?- 13,728,971,809,138,176 seconds is equal to 436,538,837 years, 1 week, 4 days, 20 hours, 9 minutes, 36 seconds.
-
To count from 1 to 13,728,971,809,138,176 would take you about one billion, three hundred nine million, six hundred sixteen thousand, five hundred eleven 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 13728971809138176 cubic inches would be around 19954.1 feet tall.
Recreational maths with 13728971809138176
- 13728971809138176 backwards is 67183190817982731
- The number of decimal digits it has is: 17
- The sum of 13728971809138176's digits is 81
- More coming soon!
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MLA style:
"Number 13728971809138176 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 13728971809138176 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13728971809138176/
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The information we have on file for 13728971809138176 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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