137049788250846828340781056
137,049,788,250,846,828,340,781,056 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137049788250846828340781056 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
137049788250846828340781056 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137049788250846828340781056:
213 × 7 × 43 × 59 × 811 × 42773 × 27156847409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 43 × 59 × 811 × 42773 × 27156847409)See below for interesting mathematical facts about the number 137049788250846828340781056 from the Numbermatics database.
Names of 137049788250846828340781056
- Cardinal: 137049788250846828340781056 can be written as One hundred thirty-seven septillion, forty-nine sextillion, seven hundred eighty-eight quintillion, two hundred fifty quadrillion, eight hundred forty-six trillion, eight hundred twenty-eight billion, three hundred forty million, seven hundred eighty-one thousand and fifty-six.
Scientific notation
- Scientific notation: 1.37049788250846828340781056 × 1026
Factors of 137049788250846828340781056
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 27156891104
Divisors of 137049788250846828340781056
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 43 56 59 64 86 112 118 128 172 224 236 256 301 344 413 448 472 512 602 688 811 826 896 944 1024 1204 1376 1622 1652 1792 1888 2048 2408 2537 2752 3244 3304 3584 3776 4096 4816 5074 5504 5677 6488 6608 7168 7552 8192 9632 10148 11008 11354 12976 13216 14336 15104 17759 19264 20296 22016 22708 25952 26432 28672 30208 34873 35518 38528 40592 42773 44032 45416 47849 51904 52864 57344 60416 69746 71036 77056 81184 85546 88064 90832 95698 103808 105728 120832 139492 142072 154112 162368 171092 176128 181664 191396 207616 211456 241664 244111 278984 284144 299411 308224 324736 334943 342184 352256 363328 382792 415232 422912 483328 488222 557968 568288 598822 616448 649472 669886 684368 726656 765584 830464 845824 976444 1115936 1136576 1197644 1232896 1298944 1339772 1368736 1453312 1531168 1660928 1691648 1839239 1952888 2057507 2231872 2273152 2395288 2465792 2523607 2597888 2679544 2737472 2906624 3062336 3321856 3383296 3678478 3905776 4115014 4463744 4546304 4790576 5047214 5195776 5359088 5474944 5813248 6124672 6643712 7356956 7811552 8230028 8927488 9092608 9581152 10094428 10391552 10718176 10949888 11626496 12249344 12874673 14402549 14713912 15623104 16460056 17665249 17854976 18185216 19162304 20188856 20783104 21436352 21899776 23252992 24498688 25749346 28805098 29427824 31246208 32920112 34688903 35330498 35709952 36370432 38324608 40377712 42872704 43799552 46505984 48997376 51498692 57610196 58855648 62492416 65840224 69377806 70660996 71419904 72740864 76649216 80755424 85745408 87599104 97994752 102997384 108515101 115220392 117711296 124984832 131680448 138755612 141321992 142839808 145481728 153298432 161510848 171490816 175198208 195989504 205994768 217030202 230440784 235422592 242822321 249969664 263360896 277511224 282643984 285679616 306596864 323021696 342981632 350396416 391979008 411989536 434060404 460881568 470845184 485644642 499939328 526721792 555022448 565287968 613193728 646043392 685963264 759605707 823979072 868120808 921763136 941690368 971289284 999878656 1053443584 1110044896 1130575936 1226387456 1292086784 1371926528 1491622829 1519211414 1647958144 1736241616 1843526272 1883380736 1942578568 1999757312 2046645277 2106887168 2220089792 2261151872 2452774912 2584173568 2743853056 2983245658 3038422828 3295916288 3472483232 3687052544 3766761472 3885157136 4093290554 4213774336 4440179584 4522303744 5168347136 5966491316 6076845656 6591832576 6944966464 7374105088 7533522944 7770314272 8186581108 8427548672 8880359168 9044607488 10336694272 10441359803 11932982632 12153691312 13183665152 13889932928 14326516939 14748210176 15067045888 15540628544 16373162216 16855097344 17760718336 18089214976 20673388544 20882719606 23865965264 24307382624 26367330304 27156847409 27779865856 28653033878 29496420352 31081257088 32746324432 35521436672 36178429952 41765439212 47731930528 48614765248 52734660608 54313694818 55559731712 57306067756 58992840704 62162514176 65492648864 71042873344 72356859904 83530878424 88005746911 95463861056 97229530496 105469321216 108627389636 111119463424 114612135512 117985681408 124325028352 130985297728 142085746688 144713719808 167061756848 176011493822 190097931863 190927722112 194459060992 217254779272 222238926848 229224271024 248650056704 261970595456 284171493376 334123513696 352022987644 380195863726 381855444224 388918121984 434509558544 444477853696 458448542048 497300113408 523941190912 616040228377 668247027392 704045975288 760391727452 763710888448 777836243968 869019117088 888955707392 916897084096 994600226816 1047882381824 1167744438587 1232080456754 1336494054784 1408091950576 1520783454904 1527421776896 1555672487936 1602253997131 1738038234176 1833794168192 1989200453632 2095764763648 2335488877174 2464160913508 2672988109568 2816183901152 3041566909808 3054843553792 3111344975872 3204507994262 3476076468352 3667588336384 4191529527296 4670977754348 4928321827016 5345976219136 5632367802304 6083133819616 6109687107584 6222689951744 6409015988524 6952152936704 7335176672768 8174211070109 8383059054592 9341955508696 9856643654032 10691952438272 11215777979917 11264735604608 12166267639232 12219374215168 12818031977048 13904305873408 14670353345536 16348422140218 16766118109184 18683911017392 19713287308064 21383904876544 22024203248699 22431555959834 22529471209216 24332535278464 25636063954096 27808611746816 29340706691072 32696844280436 37367822034784 39426574616128 42767809753088 44048406497398 44863111919668 45058942418432 48665070556928 51272127908192 55617223493632 58681413382144 65393688560872 68896921876633 74735644069568 78853149232256 85535619506176 88096812994796 89726223839336 90117884836864 97330141113856 102544255816384 111234446987264 117362826764288 130787377121744 137793843753266 149471288139136 154169422740893 157706298464512 176193625989592 179452447678672 180235769673728 194660282227712 205088511632768 222468893974528 261574754243488 275587687506532 298942576278272 308338845481786 315412596929024 352387251979184 358904895357344 360471539347456 389320564455424 410177023265536 482278453136431 523149508486976 551175375013064 597885152556544 616677690963572 630825193858048 704774503958368 717809790714688 720943078694912 778641128910848 820354046531072 947040739694057 964556906272862 1046299016973952 1102350750026128 1161579834225157 1195770305113088 1233355381927144 1261650387716096 1299427991673241 1409549007916736 1435619581429376 1557282257821696 1640708093062144 1894081479388114 1929113812545724 2092598033947904 2204701500052256 2323159668450314 2391540610226176 2466710763854288 2523300775432192 2598855983346482 2819098015833472 2871239162858752 3281416186124288 3788162958776228 3858227625091448 4185196067895808 4409403000104512 4646319336900628 4783081220452352 4933421527708576 5046601550864384 5197711966692964 5638196031666944 5742478325717504 6562832372248576 6629285177858399 7576325917552456 7716455250182896 8131058839576099 8370392135791616 8818806000209024 9095995941712687 9292638673801256 9566162440904704 9866843055417152 10395423933385928 11276392063333888 11484956651435008 13125664744497152 13258570355716798 15152651835104912 15432910500365792 16262117679152198 16740784271583232 17637612000418048 18191991883425374 18585277347602512 19733686110834304 20790847866771856 22552784126667776 22969913302870016 26517140711433596 30305303670209824 30865821000731584 32524235358304396 33481568543166464 35275224000836096 36383983766850748 37170554695205024 39467372221668608 41581695733543712 45105568253335552 45939826605740032 49947932871681751 53034281422867192 55875403641949363 60610607340419648 61731642001463168 65048470716608792 66963137086332928 68533210219284263 70550448001672192 72767967533701496 74341109390410048 78934744443337216 83163391467087424 90211136506671104 91879653211480064 99895865743363502 106068562845734384 111750807283898726 121221214680839296 123463284002926336 130096941433217584 137066420438568526 141100896003344384 145535935067402992 148682218780820096 157869488886674432 166326782934174848 180422273013342208 199791731486727004 212137125691468768 223501614567797452 242442429361678592 246926568005852672 260193882866435168 274132840877137052 282201792006688768 291071870134805984 297364437561640192 315738977773348864 332653565868349696 349635530101772257 391127825493645541 399583462973454008 424274251382937536 447003229135594904 479732471534989841 484884858723357184 493853136011705344 520387765732870336 548265681754274104 564403584013377536 582143740269611968 594728875123280384 631477955546697728 665307131736699392 699271060203544514 782255650987291082 799166925946908016 848548502765875072 894006458271189808 942041245556602327 959464943069979682 969769717446714368 987706272023410688 1040775531465740672 1096531363508548208 1164287480539223936 1189457750246560768 1262955911093395456 1330614263473398784 1398542120407089028 1564511301974582164 1598333851893816032 1697097005531750144 1788012916542379616 1884082491113204654 1918929886139959364 1939539434893428736 1975412544046821376 2081551062931481344 2193062727017096416 2328574961078447872 2378915500493121536 2661228526946797568 2797084240814178056 2946928039429223309 3129022603949164328 3196667703787632064 3394194011063500288 3576025833084759232 3768164982226409308 3837859772279918728 3879078869786857472 3950825088093642752 4163102125862962688 4386125454034192832 4657149922156895744 4757831000986243072 5322457053893595136 5594168481628356112 5893856078858446618 6258045207898328656 6393335407575264128 6594288718896216289 6788388022127000576 7152051666169518464 7536329964452818616 7675719544559837456 7758157739573714944 8326204251725925376 8772250908068385664 9314299844313791488 9515662001972486144 10644914107787190272 11188336963256712224 11787712157716893236 12516090415796657312 12786670815150528256 13188577437792432578 13576776044254001152 14304103332339036928 15072659928905637232 15351439089119674912 16652408503451850752 17544501816136771328 18628599688627582976 20628496276004563163 22376673926513424448 23575424315433786472 25032180831593314624 25573341630301056512 26377154875584865156 27153552088508002304 28608206664678073856 30145319857811274464 30702878178239349824 33304817006903701504 35089003632273542656 37257199377255165952 40507773558933900061 41256992552009126326 44753347853026848896 47150848630867572944 50064361663186629248 51146683260602113024 52754309751169730312 54307104177016004608 55580433487839537293 57216413329356147712 60290639715622548928 61405756356478699648 66609634013807403008 70178007264547085312 74514398754510331904 81015547117867800122 82513985104018252652 89506695706053697792 94301697261735145888 100128723326373258496 102293366521204226048 105508619502339460624 111160866975679074586 114432826658712295424 120581279431245097856 122811512712957399296 140356014529094170624 162031094235735600244 165027970208036505304 179013391412107395584 188603394523470291776 200257446652746516992 204586733042408452096 211017239004678921248 222321733951358149172 228865653317424590848 241162558862490195712 245623025425914798592 280712029058188341248 283554414912537300427 324062188471471200488 330055940416073010608 358026782824214791168 377206789046940583552 389063034414876761051 400514893305493033984 409173466084816904192 422034478009357842496 444643467902716298344 457731306634849181696 482325117724980391424 491246050851829597184 561424058116376682496 567108829825074600854 648124376942942400976 660111880832146021216 716053565648429582336 754413578093881167104 778126068829753522102 801029786610986067968 844068956018715684992 889286935805432596688 964650235449960782848 982492101703659194368 1134217659650149201708 1296248753885884801952 1320223761664292042432 1432107131296859164672 1508827156187762334208 1556252137659507044204 1602059573221972135936 1688137912037431369984 1778573871610865193376 1929300470899921565696 1964984203407318388736 2268435319300298403416 2389958639977100103599 2592497507771769603904 2640447523328584084864 2864214262593718329344 3017654312375524668416 3112504275319014088408 3204119146443944271872 3376275824074862739968 3557147743221730386752 3858600941799843131392 3929968406814636777472 4536870638600596806832 4779917279954200207198 5184995015543539207808 5280895046657168169728 6035308624751049336832 6225008550638028176816 6752551648149725479936 7114295486443460773504 7717201883599686262784 9073741277201193613664 9559834559908400414396 10369990031087078415616 10561790093314336339456 12070617249502098673664 12450017101276056353632 13505103296299450959872 14228590972886921547008 16729710479839700725193 18147482554402387227328 19119669119816800828792 20739980062174156831232 21123580186628672678912 24141234499004197347328 24900034202552112707264 27010206592598901919744 28457181945773843094016 33459420959679401450386 36294965108804774454656 38239338239633601657584 41479960124348313662464 42247160373257345357824 49800068405104225414528 54020413185197803839488 56914363891547686188032 66918841919358802900772 72589930217609548909312 76478676479267203315168 82959920248696627324928 84494320746514690715648 99600136810208450829056 113828727783095372376064 133837683838717605801544 145179860435219097818624 152957352958534406630336 165919840497393254649856 168988641493029381431296 199200273620416901658112 227657455566190744752128 267675367677435211603088 290359720870438195637248 305914705917068813260672 331839680994786509299712 398400547240833803316224 455314911132381489504256 535350735354870423206176 580719441740876391274496 611829411834137626521344 796801094481667606632448 1070701470709740846412352 1161438883481752782548992 1223658823668275253042688 1593602188963335213264896 2141402941419481692824704 2322877766963505565097984 2447317647336550506085376 3187204377926670426529792 4282805882838963385649408 4894635294673101012170752 8565611765677926771298816 9789270589346202024341504 17131223531355853542597632 19578541178692404048683008 34262447062711707085195264 68524894125423414170390528 137049788250846828340781056
- Sum of all divisors σ(n): 326364258662733003158476800
- Sum of proper divisors (its aliquot sum) s(n): 189314470411886174817695744
- 137049788250846828340781056 is an abundant number, because the sum of its proper divisors (189314470411886174817695744) is greater than itself. Its abundance is 52264682161039346476914688
Bases of 137049788250846828340781056
- Binary: 1110001010111010110101111101000011100110111111011100110100001011011100100100000000000002
- Hexadecimal: 0x715D6BE8737EE685B92000
- Base-36: H7XDYGL4P4FH5MOSG
Squares and roots of 137049788250846828340781056
- 137049788250846828340781056 squared (1370497882508468283407810562) is 18782644459601953352077002247061533996312464128475136
- 137049788250846828340781056 cubed (1370497882508468283407810563) is 2574157445979389061831736072023493085557214733422269927806201974132484515823616
-
The
square root of 137049788250846828340781056 is 11706826566189.7814048793 -
The
cube root of 137049788250846828340781056 is 515576114.9478119721
Scales and comparisons
How big is 137049788250846828340781056?- 137,049,788,250,846,828,340,781,056 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,049,788,250,846,828,340,781,056 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 137049788250846828340781056 cubic inches would be around 42964676.2 feet tall.
Recreational maths with 137049788250846828340781056
- 137049788250846828340781056 backwards is 650187043828648052887940731
- The number of decimal digits it has is: 27
- The sum of 137049788250846828340781056's digits is 124
- More coming soon!
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"Number 137049788250846828340781056 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 137049788250846828340781056 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137049788250846828340781056/
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Numbermatics. 2024. "Number 137049788250846828340781056 - Facts about the integer". https://numbermatics.com/n/137049788250846828340781056/
The information we have on file for 137049788250846828340781056 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 137049788250846828340781056, math, Factors of 137049788250846828340781056, curriculum, school, college, exams, university, Prime factorization of 137049788250846828340781056, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven septillion, forty-nine sextillion, seven hundred eighty-eight quintillion, two hundred fifty quadrillion, eight hundred forty-six trillion, eight hundred twenty-eight billion, three hundred forty million, seven hundred eighty-one thousand and fifty-six.