48120449770501615319040
48,120,449,770,501,615,319,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 48120449770501615319040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
48120449770501615319040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 48120449770501615319040:
211 × 33 × 5 × 743 × 6569 × 35659716119
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 743 × 6569 × 35659716119)See below for interesting mathematical facts about the number 48120449770501615319040 from the Numbermatics database.
Names of 48120449770501615319040
- Cardinal: 48120449770501615319040 can be written as Forty-eight sextillion, one hundred twenty quintillion, four hundred forty-nine quadrillion, seven hundred seventy trillion, five hundred one billion, six hundred fifteen million, three hundred nineteen thousand and forty.
Scientific notation
- Scientific notation: 4.812044977050161531904 × 1022
Factors of 48120449770501615319040
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 35659723441
Divisors of 48120449770501615319040
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 743 768 864 960 1024 1080 1152 1280 1440 1486 1536 1728 1920 2048 2160 2229 2304 2560 2880 2972 3072 3456 3715 3840 4320 4458 4608 5120 5760 5944 6144 6569 6687 6912 7430 7680 8640 8916 9216 10240 11145 11520 11888 13138 13374 13824 14860 15360 17280 17832 18432 19707 20061 22290 23040 23776 26276 26748 27648 29720 30720 32845 33435 34560 35664 39414 40122 44580 46080 47552 52552 53496 55296 59121 59440 65690 66870 69120 71328 78828 80244 89160 92160 95104 98535 100305 105104 106992 118242 118880 131380 133740 138240 142656 157656 160488 177363 178320 190208 197070 200610 210208 213984 236484 237760 262760 267480 276480 285312 295605 315312 320976 354726 356640 380416 394140 401220 420416 427968 472968 475520 525520 534960 570624 591210 630624 641952 709452 713280 760832 788280 802440 840832 855936 886815 945936 951040 1051040 1069920 1141248 1182420 1261248 1283904 1418904 1426560 1521664 1576560 1604880 1681664 1711872 1773630 1891872 1902080 2102080 2139840 2282496 2364840 2522496 2567808 2837808 2853120 3153120 3209760 3363328 3423744 3547260 3783744 3804160 4204160 4279680 4564992 4729680 4880767 5044992 5135616 5675616 5706240 6306240 6419520 6726656 6847488 7094520 7567488 7608320 8408320 8559360 9459360 9761534 10089984 10271232 11351232 11412480 12612480 12839040 13453312 13694976 14189040 14642301 15134976 16816640 17118720 18918720 19523068 20179968 20542464 22702464 22824960 24403835 25224960 25678080 28378080 29284602 30269952 33633280 34237440 37837440 39046136 40359936 41084928 43926903 45404928 48807670 50449920 51356160 56756160 58569204 60539904 67266560 68474880 73211505 75674880 78092272 87853806 90809856 97615340 100899840 102712320 113512320 117138408 121079808 131780709 146423010 151349760 156184544 175707612 181619712 195230680 201799680 205424640 219634515 227024640 234276816 263561418 292846020 302699520 312369088 351415224 363239424 390461360 439269030 454049280 468553632 527122836 585692040 605399040 624738176 658903545 702830448 780922720 878538060 908098560 937107264 1054245672 1171384080 1249476352 1317807090 1405660896 1561845440 1757076120 1816197120 1874214528 2108491344 2342768160 2498952704 2635614180 2811321792 3123690880 3514152240 3748429056 4216982688 4685536320 4997905408 5271228360 5622643584 6247381760 7028304480 7496858112 8433965376 9371072640 9995810816 10542456720 11245287168 12494763520 14056608960 14993716224 16867930752 18742145280 21084913440 22490574336 24989527040 28113217920 29987432448 33735861504 35659716119 37484290560 42169826880 44981148672 49979054080 56226435840 67471723008 71319432238 74968581120 84339653760 89962297344 106979148357 112452871680 134943446016 142638864476 149937162240 168679307520 178298580595 213958296714 224905743360 269886892032 285277728952 320937445071 337358615040 356597161190 427916593428 449811486720 534895741785 570555457904 641874890142 674717230080 713194322380 855833186856 962812335213 1069791483570 1141110915808 1283749780284 1349434460160 1426388644760 1604687225355 1711666373712 1925624670426 2139582967140 2282221831616 2567499560568 2852777289520 3209374450710 3423332747424 3851249340852 4279165934280 4564443663232 4814061676065 5134999121136 5705554579040 6418748901420 6846665494848 7702498681704 8558331868560 9128887326464 9628123352130 10269998242272 11411109158080 12837497802840 13693330989696 15404997363408 17116663737120 18257774652928 19256246704260 20539996484544 22822218316160 25674995605680 26495169076417 27386661979392 30809994726816 34233327474240 36515549305856 38512493408520 41079992969088 45644436632320 51349991211360 52990338152834 54773323958784 61619989453632 68466654948480 73031098611712 77024986817040 79485507229251 82159985938176 91288873264640 102699982422720 105980676305668 109546647917568 123239978907264 132475845382085 136933309896960 154049973634080 158971014458502 164319971876352 182577746529280 205399964845440 211961352611336 219093295835136 234248675185711 238456521687753 246479957814528 264951690764170 273866619793920 308099947268160 317942028917004 328639943752704 365155493058560 397427536146255 410799929690880 423922705222672 468497350371422 476913043375506 492959915629056 529903381528340 547733239587840 616199894536320 635884057834008 657279887505408 702746025557133 715369565063259 794855072292510 821599859381760 847845410445344 936994700742844 953826086751012 985919831258112 1059806763056680 1095466479175680 1171243375928555 1192282608438765 1232399789072640 1271768115668016 1405492051114266 1430739130126518 1589710144585020 1643199718763520 1695690820890688 1873989401485688 1907652173502024 1971839662516224 2108238076671399 2119613526113360 2342486751857110 2384565216877530 2464799578145280 2543536231336032 2810984102228532 2861478260253036 3179420289170040 3286399437527040 3391381641781376 3513730127785665 3576847825316295 3747978802971376 3815304347004048 4216476153342798 4239227052226720 4684973503714220 4769130433755060 4929599156290560 5087072462672064 5621968204457064 5722956520506072 6324714230014197 6358840578340080 6782763283562752 7027460255571330 7153695650632590 7495957605942752 7630608694008096 8432952306685596 8478454104453440 9369947007428440 9538260867510120 9859198312581120 10174144925344128 10541190383356995 11243936408914128 11445913041012144 12649428460028394 12717681156680160 13565526567125504 14054920511142660 14307391301265180 14991915211885504 15261217388016192 16865904613371192 16956908208906880 18739894014856880 19076521735020240 20348289850688256 21082380766713990 22487872817828256 22891826082024288 25298856920056788 25435362313360320 27131053134251008 28109841022285320 28614782602530360 29983830423771008 30522434776032384 31623571150070985 33731809226742384 33913816417813760 37479788029713760 38153043470040480 40696579701376512 42164761533427980 44975745635656512 45783652164048576 50597713840113576 50870724626720640 54262106268502016 56219682044570640 57229565205060720 59967660847542016 61044869552064768 63247142300141970 67463618453484768 67827632835627520 74959576059427520 76306086940080960 81393159402753024 84329523066855960 89951491271313024 91567304328097152 101195427680227152 101741449253441280 112439364089141280 114459130410121440 119935321695084032 122089739104129536 126494284600283940 134927236906969536 135655265671255040 149919152118855040 152612173880161920 162786318805506048 168659046133711920 174046765662983273 179902982542626048 183134608656194304 202390855360454304 203482898506882560 224878728178282560 228918260820242880 239870643390168064 244179478208259072 252988569200567880 269854473813939072 271310531342510080 299838304237710080 305224347760323840 337318092267423840 348093531325966546 359805965085252096 366269217312388608 404781710720908608 406965797013765120 449757456356565120 457836521640485760 479741286780336128 488358956416518144 505977138401135760 522140296988949819 539708947627878144 599676608475420160 610448695520647680 674636184534847680 696187062651933092 719611930170504192 732538434624777216 809563421441817216 813931594027530240 870233828314916365 899514912713130240 915673043280971520 1011954276802271520 1044280593977899638 1079417895255756288 1199353216950840320 1220897391041295360 1349272369069695360 1392374125303866184 1439223860341008384 1465076869249554432 1566420890966849457 1619126842883634432 1740467656629832730 1799029825426260480 1831346086561943040 2023908553604543040 2088561187955799276 2158835790511512576 2398706433901680640 2441794782082590720 2610701484944749095 2698544738139390720 2784748250607732368 3132841781933698914 3238253685767268864 3480935313259665460 3598059650852520960 3662692173123886080 4047817107209086080 4177122375911598552 4317671581023025152 4699262672900548371 5221402969889498190 5397089476278781440 5569496501215464736 6265683563867397828 6476507371534537728 6961870626519330920 7196119301705041920 7325384346247772160 7832104454834247285 8095634214418172160 8354244751823197104 9398525345801096742 10442805939778996380 10794178952557562880 11138993002430929472 12531367127734795656 12953014743069075456 13923741253038661840 15664208909668494570 16191268428836344320 16708489503646394208 18797050691602193484 20885611879557992760 21588357905115125760 22277986004861858944 23496313364502741855 25062734255469591312 27847482506077323680 31328417819336989140 32382536857672688640 33416979007292788416 37594101383204386968 41771223759115985520 44555972009723717888 46992626729005483710 50125468510939182624 55694965012154647360 62656835638673978280 64765073715345377280 66833958014585576832 75188202766408773936 83542447518231971040 89111944019447435776 93985253458010967420 100250937021878365248 111389930024309294720 125313671277347956560 133667916029171153664 150376405532817547872 167084895036463942080 178223888038894871552 187970506916021934840 200501874043756730496 222779860048618589440 250627342554695913120 267335832058342307328 300752811065635095744 334169790072927884160 356447776077789743104 375941013832043869680 401003748087513460992 445559720097237178880 501254685109391826240 534671664116684614656 601505622131270191488 668339580145855768320 751882027664087739360 802007496175026921984 891119440194474357760 1002509370218783652480 1069343328233369229312 1203011244262540382976 1336679160291711536640 1503764055328175478720 1604014992350053843968 1782238880388948715520 2005018740437567304960 2406022488525080765952 2673358320583423073280 3007528110656350957440 3208029984700107687936 4010037480875134609920 4812044977050161531904 5346716641166846146560 6015056221312701914880 8020074961750269219840 9624089954100323063808 12030112442625403829760 16040149923500538439680 24060224885250807659520 48120449770501615319040
- Sum of all divisors σ(n): 171309455394893786880000
- Sum of proper divisors (its aliquot sum) s(n): 123189005624392171560960
- 48120449770501615319040 is an abundant number, because the sum of its proper divisors (123189005624392171560960) is greater than itself. Its abundance is 75068555853890556241920
Bases of 48120449770501615319040
- Binary: 10100011000010011101011001000010000100110011100110000001101011111000000000002
- Hexadecimal: 0xA309D642133981AF800
- Base-36: 7U3GM8TZTBZMYO0
Squares and roots of 48120449770501615319040
- 48120449770501615319040 squared (481204497705016153190402) is 2315577686115368962427705307169895600986521600
- 48120449770501615319040 cubed (481204497705016153190403) is 111426639734408967821302076270366869294007003481192378571123851264000
-
The
square root of 48120449770501615319040 is 219363738504.1147025515 -
The
cube root of 48120449770501615319040 is 36372785.3200348919
Scales and comparisons
How big is 48120449770501615319040?- 48,120,449,770,501,615,319,040 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,120,449,770,501,615,319,040 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 48120449770501615319040 cubic inches would be around 3031065.4 feet tall.
Recreational maths with 48120449770501615319040
- 48120449770501615319040 backwards is 04091351610507794402184
- The number of decimal digits it has is: 23
- The sum of 48120449770501615319040's digits is 81
- More coming soon!
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The information we have on file for 48120449770501615319040 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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