137729516490027144225
137,729,516,490,027,144,225 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137729516490027144225 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1215 divisors.
137729516490027144225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 137729516490027144225:
34 × 52 × 292 × 832 × 972 × 11172
(3 × 3 × 3 × 3 × 5 × 5 × 29 × 29 × 83 × 83 × 97 × 97 × 1117 × 1117)See below for interesting mathematical facts about the number 137729516490027144225 from the Numbermatics database.
Names of 137729516490027144225
- Cardinal: 137729516490027144225 can be written as One hundred thirty-seven quintillion, seven hundred twenty-nine quadrillion, five hundred sixteen trillion, four hundred ninety billion, twenty-seven million, one hundred forty-four thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.37729516490027144225 × 1020
Factors of 137729516490027144225
Divisors of 137729516490027144225
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 3 5 9 15 25 27 29 45 75 81 83 87 97 135 145 225 249 261 291 405 415 435 485 675 725 747 783 841 873 1117 1245 1305 1455 2025 2075 2175 2241 2349 2407 2425 2523 2619 2813 3351 3735 3915 4205 4365 5585 6225 6525 6723 6889 7221 7275 7569 7857 8051 8439 9409 10053 11205 11745 12035 12615 13095 14065 16755 18675 19575 20667 21025 21663 21825 22707 24153 25317 27925 28227 30159 32393 33615 34445 36105 37845 39285 40255 42195 47045 50265 56025 58725 60175 62001 63075 64989 65475 68121 69803 70325 72459 75951 81577 83775 84681 90477 92711 97179 103335 108315 108349 113535 120765 126585 141135 150795 161965 168075 172225 180525 186003 189225 194967 196425 199781 201275 209409 210975 217377 227853 233479 235225 244731 251325 254043 272861 278133 291537 310005 324945 325047 340605 349015 362295 379755 407885 423405 452385 463555 485895 516675 541575 541745 558009 567675 599343 603825 628227 632925 652131 668233 700437 705675 734193 753975 762129 780947 809825 818583 834399 874611 930015 939397 974835 975141 998905 1047045 1086885 1139265 1167395 1223655 1247689 1270215 1364305 1390665 1457685 1550025 1624725 1625235 1703025 1745075 1798029 1811475 1884681 1898775 2004699 2039425 2101311 2117025 2202579 2261925 2317775 2342841 2429475 2455749 2503197 2623833 2688619 2708725 2790045 2818191 2925423 2996715 3141135 3142121 3260655 3341165 3502185 3670965 3743067 3810645 3904735 4092915 4171995 4373055 4650075 4696985 4874175 4875705 4994525 5235225 5394087 5434425 5654043 5696325 5793649 5836975 6014097 6118275 6238445 6303933 6351075 6607737 6770891 6821525 6953325 7028523 7288425 7367247 7509591 7695013 7912969 8065857 8126175 8454573 8776269 8990145 8992967 9423405 9426363 10023495 10506555 10509853 11012895 11229201 11714205 12278745 12515985 13119165 13443095 13950225 14090955 14627115 14983575 15705675 15710605 16182261 16303275 16705825 17380947 17510925 18042291 18354825 18715335 18911799 19053225 19378757 19523675 20312673 20464575 20859975 21085569 21865275 22101741 22647463 23085039 23484925 23738907 24197571 24378525 25363719 26970435 26978901 28270215 28279089 28968245 30070485 31192225 31519665 31529559 33038685 33687603 33854455 35142615 36182981 36836235 37547955 38475065 39564845 40329285 42272865 43881345 44950725 44964835 47117025 47131815 50117475 52142841 52532775 52549265 54126873 55064475 56146005 58136271 58571025 60938019 61393725 62579925 63256707 64818601 65595825 67215475 67942389 69255117 70454775 71216721 72592713 73135575 76091157 77969951 78553025 80911305 80936703 84837267 86904735 90211455 91121509 93576675 94558995 94588677 96893785 101062809 101563365 103558187 105427845 108548943 110508705 113237315 115425195 118694535 120987855 121025833 126818595 134852175 134894505 141351075 141395445 144841225 150352425 156428523 157598325 157647795 165193425 168438015 169272275 174408813 175713075 180914905 182814057 184181175 187739775 192375325 194455803 197824225 201646425 203827167 207765351 211364325 213650163 217778139 219406725 223155377 224824175 233909853 235659075 242810109 254511801 260714205 260796043 262746325 270634365 273364527 280730025 283766031 290681355 304690095 304785737 310674561 316283535 324093005 325646829 339711945 346275585 356083605 362963565 363077499 380455785 389849755 404556525 404683515 424186335 434523675 451057275 455607545 469285569 472794975 472943385 484468925 505314045 507816825 517790935 523226439 527139225 542744715 548442171 552543525 561983953 566186575 577125975 583367409 593472675 604939275 605129165 611481501 623296053 634092975 640950489 656776427 669466131 674472525 701729559 706977225 728430327 746416261 782142615 782388129 788238975 820093581 842190075 851298093 872044065 872317799 904574525 914070285 914357211 932023683 972279015 976940487 1019135835 1038826755 1049306449 1068250815 1088890695 1089232497 1115776885 1169549265 1214050545 1272559005 1303571025 1303980215 1353171825 1366822635 1418830155 1453406775 1523450475 1523928685 1553372805 1569679317 1581417675 1620465025 1628234145 1685951859 1698559725 1731377925 1750102227 1780418025 1814817825 1815387495 1834444503 1879739429 1902278925 1949248775 1970329281 2008398393 2023417575 2105188677 2120931675 2239248783 2278037725 2346427845 2347164387 2364716925 2460280743 2526570225 2588954675 2616132195 2616953397 2713723575 2742210855 2743071633 2796071049 2809919765 2916837045 2930821461 3003187423 3025645825 3057407505 3116480265 3147919347 3204752445 3267697491 3283882135 3347330655 3508647795 3509749157 3642151635 3732081305 3910713075 3911940645 4100467905 4256490465 4360220325 4361588995 4570351425 4571786055 4660118415 4861395075 4884702435 5057855577 5095679175 5194133775 5246532245 5250306681 5341254075 5444453475 5446162485 5578884425 5639218287 5847746325 5910987843 6025195179 6070252725 6315566031 6362795025 6471505933 6519901075 6717746349 6834113175 7041493161 7094150775 7380842229 7563085247 7619643425 7766864025 7848396585 7850860191 8141170725 8229214899 8388213147 8429759295 8595329521 8750511135 8838786373 9009562269 9076937475 9172222515 9398697145 9443758041 9803092473 9851646405 10041991965 10045144139 10525943385 10529247471 11196243915 11732139225 11735821935 11739505801 12301403715 13080660975 13084766985 13711054275 13715358165 13980355245 14049598825 14584185225 14654107305 15015937115 15173566731 15287037525 15582401325 15739596735 16023762225 16338487455 16419410675 16736653275 16917654861 17543238975 17548745785 17732963529 18075585537 18210758175 18660406525 19414517799 19559703225 20153239047 20502339525 21124479483 21282452325 21646071569 21807944975 22689255741 22858930275 23300592075 23552580573 24423512175 24687644697 25289277885 25297216171 25785988563 26232661225 26251533405 26516359119 27028686807 27230812425 28196091435 28331274123 29554939215 30125975895 30135432417 31577830155 31587742413 32357529665 33588731745 35207465805 35218517403 36904211145 37815426235 39241982925 39254300955 41146074495 41941065735 42148796475 42976647605 43752555675 44193931865 45047811345 45520700193 45861112575 46993485725 47218790205 49015462365 49258232025 50209959825 50225720695 50752964583 52629716925 52646237355 53198890587 54512443441 55981219575 58243553397 58679109675 58697529005 60459717141 61507018575 64938214707 65423834925 68067767223 68576790825 69901776225 70657741719 72402377317 73270536525 75079685575 75867833655 75891648513 77357965689 78697983675 79549077357 81086060421 81692437275 84588274305 84993822369 87092435267 87743728925 88664817645 90377927685 90406297251 94763227239 97072588995 100766195235 101782725553 105622397415 105655552209 108230357845 113446278705 117762902865 123438223485 126446389425 126486080855 128929942815 131257667025 132581795595 135143434035 140980457175 141656370615 147774696075 150629879475 150677162085 152258893749 157889150775 157938712065 161787648325 163537330323 167943658725 174730660191 176037329025 176092587015 184521055725 189077131175 194814644121 196271504775 204203301669 205730372475 209705328675 214883238025 217207131951 220969659325 225239056725 227603500965 227674945539 232073897067 236093951025 238647232071 243258181263 245077311825 249264556109 251128603475 253764822915 261277305801 263231186775 265994452935 271218891753 272562217205 284289681717 291217766985 291309180031 293487645025 302298585705 305348176659 316966656627 324691073535 340338836115 340445668229 353288708595 362011886585 379339168275 379458242565 386789828445 397745386785 405430302105 422941371525 424969111845 435462176335 443324088225 451889638425 452031486255 473816136195 485362944975 490611990969 503830976175 508913627765 524191980573 528111987075 528277761045 541151789225 567231393525 584443932363 588814514325 612609905007 617191117425 627736075501 632430404275 644649714075 651621395853 662908977975 675717170175 683024836617 696221691201 708281853075 715941696213 733619268959 747793668327 753385810425 761294468745 783831917403 789693560325 813656675259 817686651615 833746963537 873653300955 873927540093 880462935075 916044529977 950899969881 974073220605 974378981483 1021016508345 1021337004687 1086035659755 1138017504825 1138374727695 1160369485335 1193236160355 1216290906315 1246322780545 1268824114575 1306386529005 1329972264675 1356094458765 1362811086025 1421448408585 1456088834925 1456545900155 1471835972907 1511492928525 1526740883295 1584833283135 1623455367675 1701694180575 1702228341145 1753331797089 1766443542975 1810059432925 1883208226503 1897291212825 1933949142225 1954864187559 1988726933925 2027151510525 2049074509851 2099668942193 2124845559225 2177310881675 2200857806877 2243381004981 2260157431275 2351495752209 2369080680975 2453059954845 2501240890611 2544568138825 2620959902865 2621782620279 2641388805225 2748133589931 2922219661815 2923136944449 3063049525035 3064011014061 3138680377505 3258106979265 3415124183085 3481108456005 3579708481065 3668096344795 3738968341635 3806472343725 3919159587015 4068283376295 4088433258075 4168734817685 4368266504775 4369637700465 4415507918721 4580222649885 4754499849405 4870366103025 4871894907415 5105082541725 5106685023435 5430178298775 5649624679509 5691873638475 5801847426675 5864592562677 5966180801775 6081454531575 6231613902725 6299006826579 6531932645025 6602573420631 6730143014943 6780472293825 7054487256627 7107242042925 7228672127161 7282729500775 7359179864535 7503722671833 7633704416475 7865347860837 7924166415675 8244400769793 8447966220899 8511141705725 8766658985445 8769410833347 9192033042183 9416041132515 9774320937795 9872924378641 10245372549255 10498344710965 11004289034385 11216905024905 11757478761045 12265299774225 12506204453055 13104799514325 13108913101395 13740667949655 14611098309075 14615684722245 15315247625175 15320055070305 15693401887525 16290534896325 16948874038527 17075620915425 17405542280025 17898542405325 18340481723975 18694841708175 18897020479737 19595797935075 19807720261893 20190429044829 20341416881475 20843674088425 21686016381483 21848188502325 22077539593605 22511168015499 22901113249425 23596043582511 23772499247025 24178661942573 24359474537075 25343898662697 25533425117175 26308232500041 27576099126549 28248123397545 28256990463007 29322962813385 29618773135923 31495034132895 33012867103155 33650715074715 35272436283135 36143360635805 36795899322675 37518613359165 39326739304185 41222003848965 42239831104495 43833294927225 43847054166735 45960165210915 47080205662575 48871604688975 49364621893205 50846622115581 51226862746275 52491723554825 55021445171925 56084525124525 56691061439211 58787393805225 59423160785679 60890399323597 62531022265275 65058049144449 65544565506975 67533504046497 68703339748275 72535985827719 73078423611225 76031695988091 76600275351525 78924697500123 80873455463089 84744370192635 84770971389021 88856319407769 94485102398685 99038601309465 100952145224145 108430081907415 110387697968025 112555840077495 117980217912555 120893309712865 126719493313485 131541162500205 137880495632745 141240616987725 141284952315035 146614814066925 148093865679615 157475170664475 165064335515775 168253575373575 170073184317633 176362181415675 180716803179025 182671197970791 187593066795825 195174147433347 196633696520925 206110019244825 211199155522475 217607957483157 219235270833675 228095087964273 229800826054575 242620366389267 246823109466025 254233110577905 254312914167063 266568958223307 283455307196055 297115803928395 304451996617985 325290245722245 337667520232485 362679929138595 380158479940455 394623487500615 404367277315445 423721850963175 423854856945105 444281597038845 472425511993425 495193006547325 504760726120725 542150409537075 548013593912373 562779200387475 585522442300041 589901089562775 604466548564325 633597466567425 652823872449471 657705812501025 684285263892819 689402478163725 701181196334617 706424761575175 727861099167801 740469328398075 762938742501189 799706874669921 819452723427203 850365921588165 913355989853955 975870737166735 1088039787415785 1140475439821365 1213101831946335 1271165552889525 1271564570835315 1332844791116535 1417276535980275 1485579019641975 1522259983089925 1626451228611225 1644040781737119 1688337601162425 1813399645692975 1900792399702275 1958471617348413 1973117437503075 2021836386577225 2103543589003851 2119274284725525 2183583297503403 2221407985194225 2288816227503567 2345330208429581 2458358170281609 2740067969561865 2927612211500205 3264119362247355 3421426319464095 3505905981673085 3639305495839005 3814693712505945 3998534373349605 4097263617136015 4251829607940825 4566779949269775 4879353685833675 4932122345211357 5440198937078925 5702377199106825 6065509159731675 6310630767011553 6357822854176575 6550749892510209 6664223955582675 7035990625288743 7375074510844827 8220203908685595 9792358086742065 10517717945019255 10917916487517015 11444081137517835 11726651042147905 12291790851408045 13700339847809325 14638061057501025 16320596811236775 17107131597320475 17529529908365425 18196527479195025 18931892301034659 19073468562529725 19992671866748025 20486318085680075 21107971875866229 22125223532534481 24660611726056785 31553153835057765 32753749462551045 35179953126443715 36875372554224135 41101019543427975 48961790433710325 52588589725096275 54589582437585075 56795676903103977 57220405687589175 58633255210739525 61458954257040225 63323915627598687 66375670597603443 68014576044457849 94659461505173295 105539859379331145 110626117662672405 123303058630283925 157765769175288825 163768747312755225 175899765632218575 184376862771120675 189971746882796061 204043728133373547 283978384515519885 316619578137993435 331878352988017215 340072880222289245 473297307525866475 527699296896655725 553130588313362025 612131184400120641 949858734413980305 1020218640666867735 1419891922577599425 1583097890689967175 1659391764940086075 1700364401111446225 1836393553200361923 3060655922000603205 4749293672069901525 5101093203334338675 5509180659601085769 9181967766001809615 15303279610003016025 27545903298005428845 45909838830009048075 137729516490027144225
- Sum of all divisors σ(n): 270472865851610639217
- Sum of proper divisors (its aliquot sum) s(n): 132743349361583494992
- 137729516490027144225 is a deficient number, because the sum of its proper divisors (132743349361583494992) is less than itself. Its deficiency is 4986167128443649233
Bases of 137729516490027144225
- Binary: 11101110111011000011000100110000110100000100101111110010100001000012
- Hexadecimal: 0x777618986825F9421
- Base-36: T2EJYVUMAZX29
Squares and roots of 137729516490027144225
- 137729516490027144225 squared (1377295164900271442252) is 18969419712576659042069492277308950850625
- 137729516490027144225 cubed (1377295164900271442253) is 2612649005109572932120615356496337017769766500862653306390625
-
137729516490027144225 is a
perfect square number . Itssquare root is 11735821935 -
The
cube root of 137729516490027144225 is 5164270.8027950283
Scales and comparisons
How big is 137729516490027144225?- 137,729,516,490,027,144,225 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,729,516,490,027,144,225 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 137729516490027144225 cubic inches would be around 430355.9 feet tall.
Recreational maths with 137729516490027144225
- 137729516490027144225 backwards is 522441720094615927731
- 137729516490027144225 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137729516490027144225's digits is 81
- More coming soon!
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"Number 137729516490027144225 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
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Numbermatics. (2024). Number 137729516490027144225 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/137729516490027144225/
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The information we have on file for 137729516490027144225 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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