6828023287604874700800
6,828,023,287,604,874,700,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 6828023287604874700800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
6828023287604874700800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 6828023287604874700800:
211 × 32 × 52 × 7 × 13 × 769 × 211745793319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 769 × 211745793319)See below for interesting mathematical facts about the number 6828023287604874700800 from the Numbermatics database.
Names of 6828023287604874700800
- Cardinal: 6828023287604874700800 can be written as Six sextillion, eight hundred twenty-eight quintillion, twenty-three quadrillion, two hundred eighty-seven trillion, six hundred four billion, eight hundred seventy-four million, seven hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 6.8280232876048747008 × 1021
Factors of 6828023287604874700800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 211745794118
Divisors of 6828023287604874700800
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 126 128 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 252 256 260 273 280 288 300 312 315 320 325 336 350 360 364 384 390 400 416 420 448 450 455 468 480 504 512 520 525 546 560 576 585 600 624 630 640 650 672 700 720 728 768 769 780 800 819 832 840 896 900 910 936 960 975 1008 1024 1040 1050 1092 1120 1152 1170 1200 1248 1260 1280 1300 1344 1365 1400 1440 1456 1536 1538 1560 1575 1600 1638 1664 1680 1792 1800 1820 1872 1920 1950 2016 2048 2080 2100 2184 2240 2275 2304 2307 2340 2400 2496 2520 2560 2600 2688 2730 2800 2880 2912 2925 3072 3076 3120 3150 3200 3276 3328 3360 3584 3600 3640 3744 3840 3845 3900 4032 4095 4160 4200 4368 4480 4550 4608 4614 4680 4800 4992 5040 5120 5200 5376 5383 5460 5600 5760 5824 5850 6144 6152 6240 6300 6400 6552 6656 6720 6825 6921 7168 7200 7280 7488 7680 7690 7800 8064 8190 8320 8400 8736 8960 9100 9216 9228 9360 9600 9984 9997 10080 10240 10400 10752 10766 10920 11200 11520 11535 11648 11700 12304 12480 12600 12800 13104 13312 13440 13650 13842 14336 14400 14560 14976 15360 15380 15600 16128 16149 16380 16640 16800 17472 17920 18200 18432 18456 18720 19200 19225 19968 19994 20160 20475 20800 21504 21532 21840 22400 23040 23070 23296 23400 24608 24960 25200 25600 26208 26624 26880 26915 27300 27684 28800 29120 29952 29991 30720 30760 31200 32256 32298 32760 33280 33600 34605 34944 35840 36400 36912 37440 38400 38450 39936 39988 40320 40950 41600 43008 43064 43680 44800 46080 46140 46592 46800 48447 49216 49920 49985 50400 51200 52416 53760 53830 54600 55368 57600 57675 58240 59904 59982 61520 62400 64512 64596 65520 66560 67200 69210 69888 69979 71680 72800 73824 74880 76800 76900 79872 79976 80640 80745 81900 83200 86128 87360 89600 89973 92160 92280 93184 93600 96894 98432 99840 99970 100800 104832 107520 107660 109200 110736 115200 115350 116480 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1111331915300272575 1167183467966645248 1172394108448639200 1185420709653624080 1219289872786584768 1250553715678548480 1268442000298137600 1270093617486025800 1313081401462475904 1333598298360327090 1354766525318427520 1367793126523412400 1422504851584348896 1458979334958306560 1479849000347827200 1481775887067030100 1500664458814258176 1524112340983230960 1563192144598185600 1625719830382113024 1641351751828094880 1667404954238064640 1693458156648034400 1750775201949967872 1775818800417392640 1778131064480436120 1823724168697883200 1875830573517822720 1896673135445798528 1905140426229038700 2032149787977641280 2051689689785118600 2084256192797580800 2133757277376523344 2167626440509484032 2188469002437459840 2219773500521740800 2222663830600545150 2334366935933290496 2344788216897278400 2370841419307248160 2438579745573169536 2501107431357096960 2540187234972051600 2626162802924951808 2667196596720654180 2709533050636855040 2735586253046824800 2845009703168697792 2917958669916613120 2959698000695654400 2963551774134060200 3001328917628516352 3048224681966461920 3126384289196371200 3251439660764226048 3282703503656189760 3333995745900817725 3386916313296068800 3501550403899935744 3556262128960872240 3647448337395766400 3751661147035645440 3793346270891597056 3810280852458077400 4064299575955282560 4103379379570237200 4168512385595161600 4267514554753046688 4335252881018968064 4376938004874919680 4439547001043481600 4445327661201090300 4689576433794556800 4741682838614496320 4877159491146339072 5002214862714193920 5080374469944103200 5252325605849903616 5334393193441308360 5419066101273710080 5471172506093649600 5690019406337395584 5835917339833226240 5927103548268120400 6096449363932923840 6252768578392742400 6502879321528452096 6565407007312379520 6667991491801635450 6773832626592137600 7003100807799871488 7112524257921744480 7294896674791532800 7503322294071290880 7586692541783194112 7620561704916154800 8128599151910565120 8206758759140474400 8337024771190323200 8535029109506093376 8753876009749839360 8879094002086963200 8890655322402180600 9379152867589113600 9483365677228992640 9754318982292678144 10160748939888206400 10504651211699807232 10668786386882616720 10838132202547420160 10942345012187299200 11380038812674791168 11671834679666452480 11854207096536240800 12192898727865847680 12505537156785484800 13005758643056904192 13130814014624759040 13335982983603270900 13547665253184275200 14225048515843488960 14589793349583065600 15006644588142581760 15173385083566388224 15241123409832309600 16257198303821130240 16413517518280948800 17070058219012186752 17507752019499678720 17781310644804361200 18758305735178227200 18966731354457985280 19508637964585356288 20321497879776412800 21009302423399614464 21337572773765233440 21676264405094840320 21884690024374598400 22760077625349582336 23708414193072481600 24385797455731695360 25011074313570969600 26261628029249518080 26671965967206541800 27095330506368550400 28450097031686977920 29179586699166131200 30346770167132776448 30482246819664619200 32514396607642260480 32827035036561897600 34140116438024373504 35015504038999357440 35562621289608722400 37516611470356454400 37933462708915970560 39017275929170712576 40642995759552825600 42675145547530466880 43769380048749196800 45520155250699164672 47416828386144963200 48771594911463390720 52523256058499036160 53343931934413083600 54190661012737100800 56900194063373955840 58359173398332262400 60964493639329238400 65028793215284520960 65654070073123795200 68280232876048747008 71125242579217444800 75033222940712908800 75866925417831941120 81285991519105651200 85350291095060933760 87538760097498393600 91040310501398329344 94833656772289926400 97543189822926781440 105046512116998072320 106687863868826167200 108381322025474201600 113800388126747911680 121928987278658476800 131308140146247590400 136560465752097494016 142250485158434889600 151733850835663882240 162571983038211302400 170700582190121867520 175077520194996787200 189667313544579852800 195086379645853562880 213375727737652334400 227600776253495823360 243857974557316953600 262616280292495180800 273120931504194988032 284500970316869779200 325143966076422604800 341401164380243735040 379334627089159705600 426751455475304668800 455201552506991646720 487715949114633907200 525232560584990361600 569001940633739558400 682802328760487470080 758669254178319411200 853502910950609337600 975431898229267814400 1138003881267479116800 1365604657520974940160 1707005821901218675200 2276007762534958233600 3414011643802437350400 6828023287604874700800
- Sum of all divisors σ(n): 30135783779069256288000
- Sum of proper divisors (its aliquot sum) s(n): 23307760491464381587200
- 6828023287604874700800 is an abundant number, because the sum of its proper divisors (23307760491464381587200) is greater than itself. Its abundance is 16479737203859506886400
Bases of 6828023287604874700800
- Binary: 10111001000100101110110111011101110101000101001110110100111101000000000002
- Hexadecimal: 0x17225DBBBA8A769E800
- Base-36: 14104BD7UUR8JK0
Squares and roots of 6828023287604874700800
- 6828023287604874700800 squared (68280232876048747008002) is 46621902016074481454924988462867889520640000
- 6828023287604874700800 cubed (68280232876048747008003) is 318335432678189216733377430823231185534393853727404575424512000000
-
The
square root of 6828023287604874700800 is 82631853952.3643672483 -
The
cube root of 6828023287604874700800 is 18971354.1438244719
Scales and comparisons
How big is 6828023287604874700800?- 6,828,023,287,604,874,700,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 6,828,023,287,604,874,700,800 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 6828023287604874700800 cubic inches would be around 1580946.2 feet tall.
Recreational maths with 6828023287604874700800
- 6828023287604874700800 backwards is 0080074784067823208286
- 6828023287604874700800 is a
Harshad number . - The number of decimal digits it has is: 22
- The sum of 6828023287604874700800's digits is 90
- More coming soon!
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The information we have on file for 6828023287604874700800 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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