48381936742309917769200
48,381,936,742,309,917,769,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 48381936742309917769200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
48381936742309917769200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 48381936742309917769200:
24 × 32 × 52 × 17 × 2766341 × 285776237251
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 2766341 × 285776237251)See below for interesting mathematical facts about the number 48381936742309917769200 from the Numbermatics database.
Names of 48381936742309917769200
- Cardinal: 48381936742309917769200 can be written as Forty-eight sextillion, three hundred eighty-one quintillion, nine hundred thirty-six quadrillion, seven hundred forty-two trillion, three hundred nine billion, nine hundred seventeen million, seven hundred sixty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.83819367423099177692 × 1022
Factors of 48381936742309917769200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 285779003619
Divisors of 48381936742309917769200
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 45 48 50 51 60 68 72 75 80 85 90 100 102 120 136 144 150 153 170 180 200 204 225 240 255 272 300 306 340 360 400 408 425 450 510 600 612 680 720 765 816 850 900 1020 1200 1224 1275 1360 1530 1700 1800 2040 2448 2550 3060 3400 3600 3825 4080 5100 6120 6800 7650 10200 12240 15300 20400 30600 61200 2766341 5532682 8299023 11065364 13831705 16598046 22130728 24897069 27663410 33196092 41495115 44261456 47027797 49794138 55326820 66392184 69158525 82990230 94055594 99588276 110653640 124485345 132784368 138317050 141083391 165980460 188111188 199176552 207475575 221307280 235138985 248970690 276634100 282166782 331960920 376222376 398353104 414951150 423250173 470277970 497941380 553268200 564333564 622426725 663921840 705416955 752444752 829902300 846500346 940555940 995882760 1106536400 1128667128 1175694925 1244853450 1410833910 1659804600 1693000692 1881111880 1991765520 2116250865 2257334256 2351389850 2489706900 2821667820 3319609200 3386001384 3527084775 3762223760 4232501730 4702779700 4979413800 5643335640 6772002768 7054169550 8465003460 9405559400 9958827600 10581254325 11286671280 14108339100 16930006920 18811118800 21162508650 28216678200 33860013840 42325017300 56433356400 84650034600 169300069200 285776237251 571552474502 857328711753 1143104949004 1428881186255 1714657423506 2286209898008 2571986135259 2857762372510 3429314847012 4286643558765 4572419796016 4858196033267 5143972270518 5715524745020 6858629694024 7144405931275 8573287117530 9716392066534 10287944541036 11431049490040 12859930676295 13717259388048 14288811862550 14574588099801 17146574235060 19432784133068 20575889082072 21433217793825 22862098980080 24290980166335 25719861352590 28577623725100 29149176199602 34293148470120 38865568266136 41151778164144 42866435587650 43723764299403 48581960332670 51439722705180 57155247450200 58298352399204 64299653381475 68586296940240 72872940499005 77731136532272 85732871175300 87447528598806 97163920665340 102879445410360 114310494900400 116596704798408 121454900831675 128599306762950 145745880998010 171465742350600 174895057197612 194327841330680 205758890820720 218618821497015 233193409596816 242909801663350 257198613525900 291491761996020 342931484701200 349790114395224 364364702495025 388655682661360 437237642994030 485819603326700 514397227051800 582983523992040 699580228790448 728729404990050 874475285988060 971639206653400 1028794454103600 1093094107485075 1165967047984080 1457458809980100 1748950571976120 1943278413306800 2186188214970150 2914917619960200 3497901143952240 4372376429940300 5829835239920400 8744752859880600 17489505719761200 790554521933168591 1581109043866337182 2371663565799505773 3162218087732674364 3952772609665842955 4743327131599011546 6324436175465348728 7114990697398517319 7905545219331685910 9486654263198023092 11858317828997528865 12648872350930697456 13439426872863866047 14229981394797034638 15811090438663371820 18973308526396046184 19763863048329214775 23716635657995057730 26878853745727732094 28459962789594069276 31622180877326743640 35574953486992586595 37946617052792092368 39527726096658429550 40318280618591598141 47433271315990115460 53757707491455464188 56919925579188138552 59291589144987644325 63244361754653487280 67197134364319330235 71149906973985173190 79055452193316859100 80636561237183196282 94866542631980230920 107515414982910928376 113839851158376277104 118583178289975288650 120954841855774794423 134394268728638660470 142299813947970346380 158110904386633718200 161273122474366392564 177874767434962932975 189733085263960461840 201591403092957990705 215030829965821856752 237166356579950577300 241909683711549588846 268788537457277320940 284599627895940692760 316221808773267436400 322546244948732785128 335985671821596651175 355749534869925865950 403182806185915981410 474332713159901154600 483819367423099177692 537577074914554641880 569199255791881385520 604774209278873972115 645092489897465570256 671971343643193302350 711499069739851731900 806365612371831962820 948665426319802309200 967638734846198355384 1007957015464789953525 1075154149829109283760 1209548418557747944230 1343942687286386604700 1422998139479703463800 1612731224743663925640 1935277469692396710768 2015914030929579907050 2419096837115495888460 2687885374572773209400 2845996278959406927600 3023871046394369860575 3225462449487327851280 4031828061859159814100 4838193674230991776920 5375770749145546418800 6047742092788739721150 8063656123718319628200 9676387348461983553840 12095484185577479442300 16127312247436639256400 24190968371154958884600 48381936742309917769200
- Sum of all divisors σ(n): 177775221829467007704816
- Sum of proper divisors (its aliquot sum) s(n): 129393285087157089935616
- 48381936742309917769200 is an abundant number, because the sum of its proper divisors (129393285087157089935616) is greater than itself. Its abundance is 81011348344847172166416
Bases of 48381936742309917769200
- Binary: 10100011111011001010010000000111100010100100110100101000111000111101111100002
- Hexadecimal: 0xA3ECA4078A4D28E3DF0
- Base-36: 7VMN9U9FV41MZG0
Squares and roots of 48381936742309917769200
- 48381936742309917769200 squared (483819367423099177692002) is 2340811802936878418373408360916465904468640000
- 48381936742309917769200 cubed (483819367423099177692003) is 113253008575344480628770481220628269548017415183431661220157888000000
-
The
square root of 48381936742309917769200 is 219958943310.5867549855 -
The
cube root of 48381936742309917769200 is 36438549.6933770529
Scales and comparisons
How big is 48381936742309917769200?- 48,381,936,742,309,917,769,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,381,936,742,309,917,769,200 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 48381936742309917769200 cubic inches would be around 3036545.8 feet tall.
Recreational maths with 48381936742309917769200
- 48381936742309917769200 backwards is 00296771990324763918384
- The number of decimal digits it has is: 23
- The sum of 48381936742309917769200's digits is 108
- More coming soon!
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The information we have on file for 48381936742309917769200 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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