28138323479465224800
28,138,323,479,465,224,800 is an even composite number composed of six prime numbers multiplied together.
28138323479465224800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 28138323479465224800:
25 × 33 × 52 × 83 × 6679 × 2349930029
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 83 × 6679 × 2349930029)See below for interesting mathematical facts about the number 28138323479465224800 from the Numbermatics database.
Names of 28138323479465224800
- Cardinal: 28138323479465224800 can be written as Twenty-eight quintillion, one hundred thirty-eight quadrillion, three hundred twenty-three trillion, four hundred seventy-nine billion, four hundred sixty-five million, two hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.81383234794652248 × 1019
Factors of 28138323479465224800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 2349936801
Divisors of 28138323479465224800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 83 90 96 100 108 120 135 144 150 160 166 180 200 216 225 240 249 270 288 300 332 360 400 415 432 450 480 498 540 600 664 675 720 747 800 830 864 900 996 1080 1200 1245 1328 1350 1440 1494 1660 1800 1992 2075 2160 2241 2400 2490 2656 2700 2988 3320 3600 3735 3984 4150 4320 4482 4980 5400 5976 6225 6640 6679 7200 7470 7968 8300 8964 9960 10800 11205 11952 12450 13280 13358 14940 16600 17928 18675 19920 20037 21600 22410 23904 24900 26716 29880 33200 33395 35856 37350 39840 40074 44820 49800 53432 56025 59760 60111 66400 66790 71712 74700 80148 89640 99600 100185 106864 112050 119520 120222 133580 149400 160296 166975 179280 180333 199200 200370 213728 224100 240444 267160 298800 300555 320592 333950 358560 360666 400740 448200 480888 500925 534320 554357 597600 601110 641184 667900 721332 801480 896400 901665 961776 1001850 1068640 1108714 1202220 1335800 1442664 1502775 1602960 1663071 1792800 1803330 1923552 2003700 2217428 2404440 2671600 2771785 2885328 3005550 3205920 3326142 3606660 4007400 4434856 4508325 4808880 4989213 5343200 5543570 5770656 6011100 6652284 7213320 8014800 8315355 8869712 9016650 9617760 9978426 11087140 12022200 13304568 13858925 14426640 14967639 16029600 16630710 17739424 18033300 19956852 22174280 24044400 24946065 26609136 27717850 28853280 29935278 33261420 36066600 39913704 41576775 44348560 48088800 49892130 53218272 55435700 59870556 66522840 72133200 74838195 79827408 83153550 88697120 99784260 110871400 119741112 124730325 133045680 144266400 149676390 159654816 166307100 199568520 221742800 239482224 249460650 266091360 299352780 332614200 374190975 399137040 443485600 478964448 498921300 598705560 665228400 748381950 798274080 997842600 1197411120 1330456800 1496763900 1995685200 2349930029 2394822240 2993527800 3991370400 4699860058 5987055600 7049790087 9399720116 11749650145 11974111200 14099580174 18799440232 21149370261 23499300290 28199160348 35248950435 37598880464 42298740522 46998600580 56398320696 58748250725 63448110783 70497900870 75197760928 84597481044 93997201160 105746851305 112796641392 117496501450 126896221566 140995801740 169194962088 176244752175 187994402320 195044192407 211493702610 225593282784 234993002900 253792443132 281991603480 317240553915 338389924176 352489504350 375988804640 390088384814 422987405220 469986005800 507584886264 528734256525 563983206960 585132577221 634481107830 676779848352 704979008700 780176769628 845974810440 939972011600 975220962035 1015169772528 1057468513050 1127966413920 1170265154442 1268962215660 1409958017400 1560353539256 1586202769575 1691949620880 1755397731663 1879944023200 1950441924070 2030339545056 2114937026100 2340530308884 2537924431320 2819916034800 2925662886105 3120707078512 3172405539150 3383899241760 3510795463326 3900883848140 4229874052200 4681060617768 4876104810175 5075848862640 5266193194989 5639832069600 5851325772210 6241414157024 6344811078300 7021590926652 7801767696280 8459748104400 8776988658315 9362121235536 9752209620350 10151697725280 10532386389978 11702651544420 12689622156600 14043181853304 14628314430525 15603535392560 15695182663691 16919496208800 17553977316630 18724242471072 19504419240700 21064772779956 23405303088840 25379244313200 26330965974945 28086363706608 29256628861050 31207070785120 31390365327382 35107954633260 39008838481400 42129545559912 43884943291575 46810606177680 47085547991073 50758488626400 52661931949890 56172727413216 58513257722100 62780730654764 70215909266520 78017676962800 78475913318455 84259091119824 87769886583150 93621212355360 94171095982146 105323863899780 117026515444200 125561461309528 131654829874725 140431818533040 141256643973219 156035353925600 156951826636910 168518182239648 175539773166300 188342191964292 210647727799560 234053030888400 235427739955365 251122922619056 263309659749450 280863637066080 282513287946438 313903653273820 351079546332600 376684383928584 392379566592275 421295455599120 423769931919657 468106061776800 470855479910730 502245845238112 526619319498900 565026575892876 627807306547640 702159092665200 706283219866095 753368767857168 784759133184550 842590911198240 847539863839314 941710959821460 1053238638997800 1130053151785752 1177138699776825 1255614613095280 1302700161086353 1404318185330400 1412566439732190 1506737535714336 1569518266369100 1695079727678628 1883421919642920 2106477277995600 2118849659598285 2260106303571504 2354277399553650 2511229226190560 2605400322172706 2825132879464380 3139036532738200 3390159455357256 3531416099330475 3766843839285840 3908100483259059 4212954555991200 4237699319196570 4520212607143008 4708554799107300 5210800644345412 5650265758928760 6278073065476400 6513500805431765 6780318910714512 7062832198660950 7533687678571680 7816200966518118 8475398638393140 9417109598214600 10421601288690824 10594248297991425 11300531517857520 11724301449777177 12556146130952800 13027001610863530 13560637821429024 14125664397321900 15632401933036236 16950797276786280 18834219196429200 19540502416295295 20843202577381648 21188496595982850 22601063035715040 23448602899554354 26054003221727060 28251328794643800 31264803866072472 32567504027158825 33901594553572560 35172904349331531 37668438392858400 39081004832590590 41686405154763296 42376993191965700 46897205799108708 52108006443454120 56502657589287600 58621507248885885 62529607732144944 65135008054317650 67803189107145120 70345808698663062 78162009665181180 84753986383931400 93794411598217416 97702512081476475 104216012886908240 113005315178575200 117243014497771770 125059215464289888 130270016108635300 140691617397326124 156324019330362360 169507972767862800 175864521746657655 187588823196434832 195405024162952950 208432025773816480 234486028995543540 260540032217270600 281383234794652248 293107536244429425 312648038660724720 339015945535725600 351729043493315310 375177646392869664 390810048325905900 468972057991087080 521080064434541200 562766469589304496 586215072488858850 625296077321449440 703458086986630620 781620096651811800 879322608733288275 937944115982174160 1042160128869082400 1125532939178608992 1172430144977717700 1406916173973261240 1563240193303623600 1758645217466576550 1875888231964348320 2344860289955435400 2813832347946522480 3126480386607247200 3517290434933153100 4689720579910870800 5627664695893044960 7034580869866306200 9379441159821741600 14069161739732612400 28138323479465224800
- Sum of all divisors σ(n): 103008464726432832000
- Sum of proper divisors (its aliquot sum) s(n): 74870141246967607200
- 28138323479465224800 is an abundant number, because the sum of its proper divisors (74870141246967607200) is greater than itself. Its abundance is 46731817767502382400
Bases of 28138323479465224800
- Binary: 110000110011111110110100000011111000100001000111011101010011000002
- Hexadecimal: 0x1867F681F108EEA60
- Base-36: 5XS577D5MR4O0
Squares and roots of 28138323479465224800
- 28138323479465224800 squared (281383234794652248002) is 791765248235023955266922592514535040000
- 28138323479465224800 cubed (281383234794652248003) is 22278946674636186699871783069611553974518260221076992000000
-
The
square root of 28138323479465224800 is 5304556859.8578736321 -
The
cube root of 28138323479465224800 is 3041581.1358638455
Scales and comparisons
How big is 28138323479465224800?- 28,138,323,479,465,224,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 28,138,323,479,465,224,800 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 28138323479465224800 cubic inches would be around 253465.1 feet tall.
Recreational maths with 28138323479465224800
- 28138323479465224800 backwards is 00842256497432383182
- The number of decimal digits it has is: 20
- The sum of 28138323479465224800's digits is 81
- More coming soon!
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The information we have on file for 28138323479465224800 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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