345676512516014637216
345,676,512,516,014,637,216 is an even composite number composed of six prime numbers multiplied together.
345676512516014637216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 345676512516014637216:
25 × 35 × 72 × 241 × 277 × 13590039787
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 241 × 277 × 13590039787)See below for interesting mathematical facts about the number 345676512516014637216 from the Numbermatics database.
Names of 345676512516014637216
- Cardinal: 345676512516014637216 can be written as Three hundred forty-five quintillion, six hundred seventy-six quadrillion, five hundred twelve trillion, five hundred sixteen billion, fourteen million, six hundred thirty-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 3.45676512516014637216 × 1020
Factors of 345676512516014637216
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 13590040317
Divisors of 345676512516014637216
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 241 243 252 277 288 294 324 336 378 392 432 441 482 486 504 554 567 588 648 672 723 756 784 831 864 882 964 972 1008 1108 1134 1176 1296 1323 1446 1512 1568 1662 1687 1701 1764 1928 1939 1944 2016 2169 2216 2268 2352 2493 2592 2646 2892 3024 3324 3374 3402 3528 3856 3878 3888 3969 4338 4432 4536 4704 4986 5061 5292 5784 5817 6048 6507 6648 6748 6804 7056 7479 7712 7756 7776 7938 8676 8864 9072 9972 10122 10584 11568 11634 11809 11907 13014 13296 13496 13573 13608 14112 14958 15183 15512 15876 17352 17451 18144 19521 19944 20244 21168 22437 23136 23268 23618 23814 26028 26592 26992 27146 27216 29916 30366 31024 31752 34704 34902 35427 39042 39888 40488 40719 42336 44874 45549 46536 47236 47628 52056 52353 53984 54292 54432 58563 59832 60732 62048 63504 66757 67311 69408 69804 70854 78084 79776 80976 81438 89748 91098 93072 94472 95256 104112 104706 106281 108584 117126 119664 121464 122157 127008 133514 134622 136647 139608 141708 156168 157059 161952 162876 179496 182196 186144 188944 190512 200271 208224 209412 212562 217168 234252 239328 242928 244314 267028 269244 273294 279216 283416 312336 314118 318843 325752 358992 364392 366471 377888 381024 400542 409941 418824 425124 434336 467299 468504 471177 485856 488628 534056 538488 546588 558432 566832 600813 624672 628236 637686 651504 717984 728784 732942 801084 819882 837648 850248 934598 937008 942354 956529 977256 1068112 1076976 1093176 1099413 1133664 1201626 1256472 1275372 1303008 1401897 1457568 1465884 1602168 1639764 1675296 1700496 1802439 1869196 1874016 1884708 1913058 1954512 2136224 2153952 2186352 2198826 2403252 2512944 2550744 2803794 2869587 2931768 3204336 3271093 3279528 3298239 3400992 3604878 3738392 3769416 3826116 3909024 4205691 4372704 4397652 4806504 5025888 5101488 5407317 5607588 5739174 5863536 6408672 6542186 6559056 6596478 7209756 7476784 7538832 7652232 8411382 8795304 9613008 9813279 10202976 10814634 11215176 11478348 11727072 12617073 13084372 13118112 13192956 14419512 14953568 15077664 15304464 16221951 16822764 17590608 19226016 19626558 21629268 22430352 22956696 25234146 26168744 26385912 28839024 29439837 30608928 32443902 33645528 35181216 37851219 39253116 43258536 44860704 45913392 50468292 52337488 52771824 57678048 58879674 64887804 67291056 75702438 78506232 86517072 88319511 91826784 100936584 104674976 105543648 113553657 117759348 129775608 134582112 151404876 157012464 173034144 176639022 201873168 227107314 235518696 259551216 264958533 302809752 314024928 353278044 403746336 454214628 471037392 519102432 529917066 605619504 706556088 794875599 908429256 942074784 1059834132 1211239008 1413112176 1589751198 1816858512 2119668264 2826224352 3179502396 3633717024 4239336528 6359004792 8478673056 12718009584 13590039787 25436019168 27180079574 40770119361 54360159148 81540238722 95130278509 108720318296 122310358083 163080477444 190260557018 217440636592 244620716166 285390835527 326160954888 366931074249 380521114036 434881273184 489241432332 570781671054 652321909776 665911949563 733862148498 761042228072 856172506581 978482864664 1100793222747 1141563342108 1304643819552 1331823899126 1467724296996 1522084456144 1712345013162 1956965729328 1997735848689 2201586445494 2283126684216 2568517519743 2663647798252 2935448593992 3044168912288 3275199588667 3302379668241 3424690026324 3764441020999 3913931458656 3995471697378 4403172890988 4566253368432 5137035039486 5327295596504 5870897187984 5993207546067 6550399177334 6604759336482 6849380052648 7528882041998 7705552559229 7990943394756 8806345781976 9132506736864 9825598766001 10274070078972 10654591193008 11293323062997 11741794375968 11986415092134 13100798354668 13209518672964 13698760105296 15057764083996 15411105118458 15981886789512 17612691563952 17979622638201 19651197532002 20548140157944 21309182386016 22586646125994 22926397120669 23116657677687 23972830184268 26201596709336 26351087146993 26419037345928 27397520210592 29476796298003 30115528167992 30822210236916 31963773579024 33879969188991 35225383127904 35959245276402 39302395064004 41096280315888 45173292251988 45852794241338 46233315355374 47945660368536 52403193418672 52702174293986 52838074691856 53938867914603 58953592596006 60231056335984 61644420473832 63927547158048 67759938377982 68779191362007 71918490552804 78604790128008 79053261440979 82192560631776 88430388894009 90346584503976 91705588482676 92466630710748 95891320737072 101639907566973 104806386837344 105404348587972 105676149383712 107877735829206 117907185192012 120462112671968 123288840947664 135519876755964 137558382724014 143836981105608 157209580256016 158106522881958 160484779844683 161816603743809 176860777788018 180693169007952 183411176965352 184457610028951 184933261421496 191782641474144 203279815133946 206337574086021 210808697175944 215755471658412 235814370384024 237159784322937 246577681895328 265291166682027 271039753511928 275116765448028 287673962211216 304919722700919 314419160512032 316213045763916 320969559689366 323633207487618 353721555576036 361386338015904 366822353930704 368915220057902 369866522842992 406559630267892 412675148172042 421617394351888 431510943316824 471628740768048 474319568645874 481454339534049 530582333364054 542079507023856 550233530896056 553372830086853 575347924422432 609839445401838 619012722258063 632426091527832 641939119378732 647266414975236 707443111152072 711479352968811 733644707861408 737830440115804 739733045685984 795873500046081 813119260535784 825350296344084 843234788703776 863021886633648 907230286060759 914759168102757 943257481536096 948639137291748 962908679068098 1061164666728108 1084159014047712 1100467061792112 1106745660173706 1219678890803676 1238025444516126 1264852183055664 1283878238757464 1294532829950472 1414886222304144 1422958705937622 1444363018602147 1475660880231608 1591747000092162 1626238521071568 1650700592688168 1660118490260559 1726043773267296 1814460572121518 1829518336205514 1857038166774189 1897278274583496 1925817358136196 2122329333456216 2134438058906433 2200934123584224 2213491320347412 2439357781607352 2476050889032252 2529704366111328 2567756477514928 2589065659900944 2721690858182277 2829772444608288 2845917411875244 2888726037204294 2951321760463216 3183494000184324 3252477042143136 3301401185376336 3320236980521118 3628921144243036 3659036672411028 3714076333548378 3794556549166992 3851634716272392 4244658666912432 4268876117812866 4333089055806441 4426982640694824 4878715563214704 4952101778064504 4980355470781677 5135512955029856 5178131319801888 5443381716364554 5571114500322567 5691834823750488 5777452074408588 5902643520926432 6350612002425313 6366988000368648 6403314176719299 6602802370752672 6640473961042236 7257842288486072 7318073344822056 7428152667096756 7589113098333984 7703269432544784 8165072574546831 8489317333824864 8537752235625732 8666178111612882 8853965281389648 9757431126429408 9904203556129008 9960710941563354 10886763432729108 11142229000645134 11383669647500976 11554904148817176 12701224004850626 12733976000737296 12806628353438598 12999267167419323 13280947922084472 14515684576972144 14636146689644112 14856305334193512 14941066412345031 15406538865089568 16330145149093662 17075504471251464 17332356223225764 17707930562779296 19051836007275939 19808407112258016 19921421883126708 21773526865458216 22284458001290268 22767339295001952 23109808297634352 24495217723640493 25402448009701252 25467952001474592 25613256706877196 25998534334838646 26561895844168944 29031369153944288 29272293379288224 29712610668387024 29882132824690062 32660290298187324 34151008942502928 34664712446451528 38103672014551878 38997801502257969 39842843766253416 43547053730916432 44454284016977191 44568916002580536 44823199237035093 46219616595268704 48990435447280986 50804896019402504 51226513413754392 51997068669677292 53123791688337888 57155508021827817 59425221336774048 59764265649380124 65320580596374648 68302017885005856 69329424892903056 73485653170921479 76207344029103756 77995603004515938 79685687532506832 87094107461832864 88908568033954382 89137832005161072 89646398474070186 97980870894561972 101609792038805008 102453026827508784 103994137339354584 114311016043655634 119528531298760248 130641161192749296 133362852050931573 138658849785806112 146971306341842958 152414688058207512 155991206009031876 159371375065013664 171466524065483451 177817136067908764 178275664010322144 179292796948140372 195961741789123944 203219584077610016 204906053655017568 207988274678709168 220456959512764437 228622032087311268 239057062597520496 261282322385498592 266725704101863146 293942612683685916 304829376116415024 311982412018063752 342933048130966902 355634272135817528 358585593896280744 391923483578247888 400088556152794719 415976549357418336 440913919025528874 457244064174622536 478114125195040992 514399572196450353 533451408203726292 587885225367371832 609658752232830048 623964824036127504 685866096261933804 711268544271635056 717171187792561488 783846967156495776 800177112305589438 881827838051057748 914488128349245072 1028799144392900706 1066902816407452584 1175770450734743664 1200265668458384157 1247929648072255008 1371732192523867608 1422537088543270112 1434342375585122976 1543198716589351059 1600354224611178876 1763655676102115496 1828976256698490144 2057598288785801412 2133805632814905168 2351540901469487328 2400531336916768314 2743464385047735216 3086397433178702118 3200708449222357752 3527311352204230992 3600797005375152471 4115196577571602824 4267611265629810336 4801062673833536628 5486928770095470432 6172794866357404236 6401416898444715504 7054622704408461984 7201594010750304942 8230393155143205648 9602125347667073256 10802391016125457413 12345589732714808472 12802833796889431008 14403188021500609884 16460786310286411296 19204250695334146512 21604782032250914826 24691179465429616944 28806376043001219768 38408501390668293024 43209564064501829652 49382358930859233888 57612752086002439536 86419128129003659304 115225504172004879072 172838256258007318608 345676512516014637216
- Sum of all divisors σ(n): 1195081927584257224512
- Sum of proper divisors (its aliquot sum) s(n): 849405415068242587296
- 345676512516014637216 is an abundant number, because the sum of its proper divisors (849405415068242587296) is greater than itself. Its abundance is 503728902552227950080
Bases of 345676512516014637216
- Binary: 1001010111101001110011010110010101001001000001110110010000000101000002
- Hexadecimal: 0x12BD39ACA920EC80A0
- Base-36: 20YADCW0NCH600
Squares and roots of 345676512516014637216
- 345676512516014637216 squared (3456765125160146372162) is 119492251305234424133815647005160092230656
- 345676512516014637216 cubed (3456765125160146372163) is 41305664703880633784299657959012542811083467424275056033693696
-
The
square root of 345676512516014637216 is 18592377806.9405269179 -
The
cube root of 345676512516014637216 is 7018160.4130209293
Scales and comparisons
How big is 345676512516014637216?- 345,676,512,516,014,637,216 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 345,676,512,516,014,637,216 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 345676512516014637216 cubic inches would be around 584846.7 feet tall.
Recreational maths with 345676512516014637216
- 345676512516014637216 backwards is 612736410615215676543
- 345676512516014637216 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 345676512516014637216's digits is 81
- More coming soon!
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The information we have on file for 345676512516014637216 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 345676512516014637216, math, Factors of 345676512516014637216, curriculum, school, college, exams, university, Prime factorization of 345676512516014637216, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-five quintillion, six hundred seventy-six quadrillion, five hundred twelve trillion, five hundred sixteen billion, fourteen million, six hundred thirty-seven thousand, two hundred sixteen.