48668496438738548699028100
48,668,496,438,738,548,699,028,100 is an even composite number composed of four prime numbers multiplied together.
48668496438738548699028100 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred nineteen divisors.
Prime factorization of 48668496438738548699028100:
22 × 52 × 712 × 1816
(2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 181 × 181 × 181 × 181 × 181 × 181)See below for interesting mathematical facts about the number 48668496438738548699028100 from the Numbermatics database.
Names of 48668496438738548699028100
- Cardinal: 48668496438738548699028100 can be written as Forty-eight septillion, six hundred sixty-eight sextillion, four hundred ninety-six quintillion, four hundred thirty-eight quadrillion, seven hundred thirty-eight trillion, five hundred forty-eight billion, six hundred ninety-nine million, twenty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 4.86684964387385486990281 × 1025
Factors of 48668496438738548699028100
Divisors of 48668496438738548699028100
- Number of divisors d(n): 819
-
Complete list of divisors:
1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 181 196 245 343 350 362 490 686 700 724 905 980 1225 1267 1372 1715 1810 2401 2450 2534 3430 3620 4525 4802 4900 5068 6335 6860 8575 8869 9050 9604 12005 12670 16807 17150 17738 18100 24010 25340 31675 32761 33614 34300 35476 44345 48020 60025 62083 63350 65522 67228 84035 88690 117649 120050 124166 126700 131044 163805 168070 177380 221725 229327 235298 240100 248332 310415 327610 336140 420175 434581 443450 458654 470596 588245 620830 655220 819025 823543 840350 869162 886900 917308 1146635 1176490 1241660 1552075 1605289 1638050 1647086 1680700 1738324 2172905 2293270 2352980 2941225 3042067 3104150 3210578 3276100 3294172 4117715 4345810 4586540 5733175 5764801 5882450 5929741 6084134 6208300 6421156 8026445 8235430 8691620 10864525 11237023 11466350 11529602 11764900 11859482 12168268 15210335 16052890 16470860 20588575 21294469 21729050 22474046 22932700 23059204 23718964 28824005 29648705 30420670 32105780 40132225 40353607 41177150 41508187 42588938 43458100 44948092 56185115 57648010 59297410 60841340 76051675 78659161 80264450 80707214 82354300 83016374 85177876 106472345 112370230 115296020 118594820 144120025 148243525 149061283 152103350 157318322 160528900 161414428 166032748 201768035 207540935 212944690 224740460 280925575 282475249 288240050 290557309 296487050 298122566 304206700 314636644 393295805 403536070 415081870 425889380 532361725 550614127 561851150 564950498 576480100 581114618 592974100 596245132 745306415 786591610 807072140 830163740 1008840175 1037704675 1043428981 1064723450 1073283121 1101228254 1123702300 1129900996 1162229236 1412376245 1452786545 1490612830 1573183220 1966479025 1977326743 2017680350 2033901163 2075409350 2086857962 2129446900 2146566242 2202456508 2753070635 2824752490 2905573090 2981225660 3726532075 3854298889 3932958050 3954653486 4035360700 4067802326 4150818700 4173715924 4293132484 5217144905 5366415605 5506141270 5649504980 5811146180 7061881225 7263932725 7304002867 7453064150 7512981847 7708597778 7865916100 7909306972 8135604652 9886633715 10169505815 10434289810 10732831210 11012282540 13765353175 13841287201 14123762450 14237308141 14527865450 14608005734 14906128300 15025963694 15417195556 19271494445 19773267430 20339011630 20868579620 21465662420 26085724525 26832078025 26980092223 27530706350 27682574402 28247524900 28474616282 29055730900 29216011468 30051927388 36520014335 37564909235 38542988890 39546534860 40678023260 49433168575 50847529075 51128020069 52171449050 52590872929 53664156050 53960184446 55061412700 55365148804 56949232564 69206436005 71186540705 73040028670 75129818470 77085977780 96357472225 98866337150 99661156987 101695058150 102256040138 104342898100 105181745858 107328312100 107920368892 134900461115 138412872010 142373081410 146080057340 150259636940 182600071675 187824546175 188860645561 192714944450 194264244901 197732674300 199322313974 203390116300 204512080276 210363491716 255640100345 262954364645 269800922230 276825744020 284746162820 346032180025 355932703525 357896140483 365200143350 368136110503 375649092350 377721291122 385429888900 388528489802 398644627948 498305784935 511280200690 525908729290 539601844460 674502305575 692064360050 697628098909 711865407050 715792280966 730400286700 736272221006 751298184700 755442582244 777056979604 944303227805 971321224505 996611569870 1022560401380 1051817458580 1278200501725 1314771823225 1322024518927 1349004611150 1359849714307 1384128720100 1395256197818 1423730814100 1431584561932 1472544442012 1789480702415 1840680552515 1888606455610 1942642449010 1993223139740 2491528924675 2505272983381 2556401003450 2576952773521 2629543646450 2644049037854 2698009222300 2719699428614 2790512395636 3488140494545 3578961404830 3681361105030 3777212911220 3885284898020 4721516139025 4856606122525 4883396692363 4983057849350 5010545966762 5112802006900 5153905547042 5259087292900 5288098075708 5439398857228 6610122594635 6799248571535 6976280989090 7157922809660 7362722210060 8947403512075 9203402762575 9254171632489 9443032278050 9518948000149 9713212245050 9766793384726 9966115698700 10021091933524 10307811094084 12526364916905 12884763867605 13220245189270 13598497143070 13952561978180 17440702472725 17894807024150 18038669414647 18406805525150 18508343264978 18886064556100 19037896000298 19426424490100 19533586769452 24416983461815 25052729833810 25769527735210 26440490378540 27196994286140 33050612973175 33996242857675 34183776846541 34881404945450 35161828327081 35789614048300 36077338829294 36813611050300 37016686529956 38075792000596 46270858162445 47594740000745 48833966923630 50105459667620 51539055470420 62631824584525 64423819338025 64779201427423 66101225946350 66632636001043 67992485715350 68367553693082 69762809890900 70323656654162 72154677658588 90193347073235 92541716324890 95189480001490 97667933847260 122084917309075 125263649169050 126270685902529 128847638676050 129558402854846 132202451892700 133265272002086 135984971430700 136735107386164 140647313308324 170918884232705 175809141635405 180386694146470 185083432649780 190378960002980 231354290812225 237973700003725 239286437925787 244169834618150 246132798289567 250527298338100 252541371805058 257695277352100 259116805709692 266530544004172 323896007137115 333163180005215 341837768465410 351618283270810 360773388292940 450966735366175 453454409991961 462708581624450 466428452007301 475947400007450 478572875851574 488339669236300 492265596579134 505082743610116 631353429512645 647792014274230 666326360010430 683675536930820 703236566541620 854594421163525 879045708177025 883894801317703 901933470732350 906908819983922 925417163248900 932856904014602 951894800014900 957145751703148 984531193158268 1196432189628935 1230663991447835 1262706859025290 1295584028548460 1332652720020860 1619480035685575 1665815900026075 1675005065480509 1709188842327050 1722929588026969 1758091416354050 1767789602635406 1803866941464700 1813817639967844 1865713808029204 2267272049959805 2332142260036505 2392864379257870 2461327982895670 2525413718050580 3156767147563225 3238960071371150 3264999164051107 3331631800052150 3350010130961018 3418377684654100 3445859176053938 3516182832708100 3535579205270812 4419474006588515 4534544099919610 4664284520073010 4785728758515740 4922655965791340 5982160948144675 6153319957239175 6187263609223921 6313534295126450 6477920142742300 6529998328102214 6663263600104300 6700020261922036 6891718352107876 8375025327402545 8614647940134845 8838948013177030 9069088199839220 9328569040146020 11336360249799025 11660711300182525 11725035458363563 11964321896289350 12060507116188783 12306639914478350 12374527218447842 12627068590252900 13059996656204428 16324995820255535 16750050654805090 17229295880269690 17677896026354060 22097370032942575 22672720499598050 22854994148357749 23321422600365050 23450070916727126 23928643792578700 24121014232377566 24613279828956700 24749054436895684 30936318046119605 32649991640511070 33500101309610180 34458591760539380 41875126637012725 43073239700674225 43310845264567447 44194740065885150 45345440999196100 45709988296715498 46642845200730100 46900141833454252 48242028464755132 58625177291817815 60302535580943915 61872636092239210 65299983281022140 81624979101277675 82075248208544941 83750253274025450 84423549813321481 86146479401348450 86621690529134894 88389480131770300 91419976593430996 114274970741788745 117250354583635630 120605071161887830 123745272184478420 154681590230598025 159984959038504243 163249958202555350 164150496417089882 167500506548050900 168847099626642962 172292958802696900 173243381058269788 216554226322837235 228549941483577490 234500709167271260 241210142323775660 293125886459089075 301512677904719575 303175916851972129 309363180461196050 319969918077008486 326499916405110700 328300992834179764 337694199253285924 410376241042724705 422117749066607405 433108452645674470 457099882967154980 571374853708943725 586251772918178150 590964848693250367 603025355809439150 606351833703944258 618726360922392100 639939836154016972 799924795192521215 820752482085449410 844235498133214810 866216905291348940 1082771131614186175 1119894713269529701 1142749707417887450 1172503545836356300 1181929697386500734 1206050711618878300 1212703667407888516 1515879584259860645 1599849590385042430 1641504964170898820 1688470996266429620 2051881205213623525 2110588745333037025 2122231417963804903 2165542263228372350 2239789426539059402 2285499414835774900 2363859394773001468 2954824243466251835 3031759168519721290 3199699180770084860 3999623975962606075 4103762410427247050 4136753940852752569 4221177490666074050 4244462835927609806 4331084526456744700 4479578853078118804 5599473566347648505 5909648486932503670 6063518337039442580 7579397921299303225 7839262992886707907 7999247951925212150 8207524820854494100 8273507881705505138 8442354981332148100 8488925671855219612 10611157089819024515 11198947132695297010 11819296973865007340 14774121217331259175 14855619925746634321 15158795842598606450 15678525985773415814 15998495903850424300 16547015763411010276 20683769704263762845 21222314179638049030 22397894265390594020 27997367831738242525 28957277585969267983 29548242434662518350 29711239851493268642 30317591685197212900 31357051971546831628 39196314964433539535 41367539408527525690 42444628359276098060 53055785449095122575 54874840950206955349 55994735663476485050 57914555171938535966 59096484869325036700 59422479702986537284 74278099628733171605 78392629928867079070 82735078817055051380 103418848521318814225 106111570898190245150 109749681900413910698 111989471326952970100 115829110343877071932 144786387929846339915 148556199257466343210 156785259857734158140 195981574822167697675 202700943101784875881 206837697042637628450 212223141796380490300 219499363800827821396 274374204751034776745 289572775859692679830 297112398514932686420 371390498143665858025 384123886651448687443 391963149644335395350 405401886203569751762 413675394085275256900 548748409502069553490 579145551719385359660 723931939649231699575 742780996287331716050 768247773302897374886 783926299288670790700 810803772407139503524 1013504715508924379405 1097496819004139106980 1371871023755173883725 1418906601712494131167 1447863879298463399150 1485561992574663432100 1536495546605794749772 1920619433257243437215 2027009431017848758810 2688867206560140812101 2743742047510347767450 2837813203424988262334 2895727758596926798300 3841238866514486874430 4054018862035697517620 5067523577544621897025 5377734413120281624202 5487484095020695534900 5675626406849976524668 7094533008562470655835 7682477733028973748860 9603097166286217186075 9932346211987458918169 10135047155089243794050 10755468826240563248404 13444336032800704060505 14189066017124941311670 19206194332572434372150 19864692423974917836338 20270094310178487588100 26888672065601408121010 28378132034249882623340 35472665042812353279175 38412388665144868744300 39729384847949835672676 49661731059937294590845 53777344131202816242020 67221680164003520302525 69526423483912212427183 70945330085624706558350 99323462119874589181690 134443360328007040605050 139052846967824424854366 141890660171249413116700 198646924239749178363380 248308655299686472954225 268886720656014081210100 278105693935648849708732 347632117419561062135915 486684964387385486990281 496617310599372945908450 695264234839122124271830 973369928774770973980562 993234621198745891816900 1390528469678244248543660 1738160587097805310679575 1946739857549541947961124 2433424821936927434951405 3476321174195610621359150 4866849643873854869902810 6952642348391221242718300 9733699287747709739805620 12167124109684637174757025 24334248219369274349514050 48668496438738548699028100
- Sum of all divisors σ(n): 123896923539187320603243379
- Sum of proper divisors (its aliquot sum) s(n): 75228427100448771904215279
- 48668496438738548699028100 is an abundant number, because the sum of its proper divisors (75228427100448771904215279) is greater than itself. Its abundance is 26559930661710223205187179
Bases of 48668496438738548699028100
- Binary: 101000010000011111010001111010100000001000111101010110000110111011100111011010100001002
- Hexadecimal: 0x2841F47A808F561BB9DA84
- Base-36: 6458YRKXIW3HC8QYS
Squares and roots of 48668496438738548699028100
- 48668496438738548699028100 squared (486684964387385486990281002) is 2368622545607506797300422692004651699037884589610000
- 48668496438738548699028100 cubed (486684964387385486990281003) is 115277297925614780210023460405034217126390189268407276737291578974358041000000
-
48668496438738548699028100 is a
perfect square number . Itssquare root is 6976280989090 -
The
cube root of 48668496438738548699028100 is 365103483.3589497865 - Being both a perfect square and a perfect cube, 48668496438738548699028100 is also a
perfect sixth number .
Scales and comparisons
How big is 48668496438738548699028100?- 48,668,496,438,738,548,699,028,100 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,668,496,438,738,548,699,028,100 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 48668496438738548699028100 cubic inches would be around 30425290.3 feet tall.
Recreational maths with 48668496438738548699028100
- 48668496438738548699028100 backwards is 00182099684583783469486684
- The number of decimal digits it has is: 26
- The sum of 48668496438738548699028100's digits is 136
- More coming soon!
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"Number 48668496438738548699028100 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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The information we have on file for 48668496438738548699028100 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 48668496438738548699028100, math, Factors of 48668496438738548699028100, curriculum, school, college, exams, university, Prime factorization of 48668496438738548699028100, STEM, science, technology, engineering, physics, economics, calculator, forty-eight septillion, six hundred sixty-eight sextillion, four hundred ninety-six quintillion, four hundred thirty-eight quadrillion, seven hundred thirty-eight trillion, five hundred forty-eight billion, six hundred ninety-nine million, twenty-eight thousand, one hundred.