13228399189324800
13,228,399,189,324,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13228399189324800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 594 divisors.
13228399189324800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred ninety-four divisors.
Prime factorization of 13228399189324800:
210 × 32 × 52 × 13 × 664572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 66457 × 66457)See below for interesting mathematical facts about the number 13228399189324800 from the Numbermatics database.
Names of 13228399189324800
- Cardinal: 13228399189324800 can be written as Thirteen quadrillion, two hundred twenty-eight trillion, three hundred ninety-nine billion, one hundred eighty-nine million, three hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.32283991893248 × 1016
Factors of 13228399189324800
Divisors of 13228399189324800
- Number of divisors d(n): 594
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 360 384 390 400 416 450 468 480 512 520 576 585 600 624 640 650 720 768 780 800 832 900 936 960 975 1024 1040 1152 1170 1200 1248 1280 1300 1440 1536 1560 1600 1664 1800 1872 1920 1950 2080 2304 2340 2400 2496 2560 2600 2880 2925 3072 3120 3200 3328 3600 3744 3840 3900 4160 4608 4680 4800 4992 5120 5200 5760 5850 6240 6400 6656 7200 7488 7680 7800 8320 9216 9360 9600 9984 10400 11520 11700 12480 12800 13312 14400 14976 15360 15600 16640 18720 19200 19968 20800 23040 23400 24960 25600 28800 29952 31200 33280 37440 38400 39936 41600 46080 46800 49920 57600 59904 62400 66457 66560 74880 76800 83200 93600 99840 115200 119808 124800 132914 149760 166400 187200 199371 199680 230400 249600 265828 299520 332285 332800 374400 398742 499200 531656 598113 599040 664570 748800 797484 863941 996855 998400 1063312 1196226 1329140 1497600 1594968 1661425 1727882 1993710 2126624 2392452 2591823 2658280 2990565 2995200 3189936 3322850 3455764 3987420 4253248 4319705 4784904 4984275 5183646 5316560 5981130 6379872 6645700 6911528 7775469 7974840 8506496 8639410 9569808 9968550 10367292 10633120 11962260 12759744 12959115 13291400 13823056 14952825 15550938 15949680 17012992 17278820 19139616 19937100 20734584 21266240 21598525 23924520 25519488 25918230 26582800 27646112 29905650 31101876 31899360 34025984 34557640 38279232 38877345 39874200 41469168 42532480 43197050 47849040 51038976 51836460 53165600 55292224 59811300 62203752 63798720 64795575 68051968 69115280 76558464 77754690 79748400 82938336 85064960 86394100 95698080 102077952 103672920 106331200 110584448 119622600 124407504 127597440 129591150 138230560 153116928 155509380 159496800 165876672 170129920 172788200 191396160 194386725 204155904 207345840 212662400 221168896 239245200 248815008 255194880 259182300 276461120 306233856 311018760 318993600 331753344 340259840 345576400 382792320 388773450 414691680 425324800 442337792 478490400 497630016 510389760 518364600 552922240 612467712 622037520 637987200 663506688 691152800 765584640 777546900 829383360 850649600 884675584 956980800 995260032 1020779520 1036729200 1105844480 1244075040 1275974400 1327013376 1382305600 1531169280 1555093800 1658766720 1701299200 1913961600 1990520064 2073458400 2211688960 2488150080 2551948800 2654026752 2764611200 3062338560 3110187600 3317533440 3827923200 3981040128 4146916800 4416532849 4423377920 4976300160 5103897600 5529222400 6220375200 6635066880 7655846400 7962080256 8293833600 8833065698 9952600320 11058444800 12440750400 13249598547 13270133760 15311692800 16587667200 17666131396 19905200640 22082664245 22116889600 24881500800 26499197094 33175334400 35332262792 39748795641 39810401280 44165328490 49763001600 52998394188 57414927037 66247992735 66350668800 70664525584 79497591282 88330656980 99526003200 105996788376 110413321225 114829854074 132495985470 141329051168 158995182564 172244781111 176661313960 198743978205 199052006400 211993576752 220826642450 229659708148 264991970940 282658102336 287074635185 317990365128 331239963675 344489562222 353322627920 397487956410 423987153504 441653284900 459319416296 516734343333 529983941880 565316204672 574149270370 635980730256 662479927350 688979124444 706645255840 794975912820 847974307008 861223905555 883306569800 918638832592 993719891025 1033468686666 1059967883760 1130632409344 1148298540740 1271961460512 1324959854700 1377958248888 1413290511680 1435373175925 1589951825640 1695948614016 1722447811110 1766613139600 1837277665184 1987439782050 2066937373332 2119935767520 2261264818688 2296597081480 2543922921024 2583671716665 2649919709400 2755916497776 2826581023360 2870746351850 3179903651280 3391897228032 3444895622220 3533226279200 3674555330368 3974879564100 4133874746664 4239871535040 4306119527775 4522529637376 4593194162960 5087845842048 5167343433330 5299839418800 5511832995552 5653162046720 5741492703700 6359807302560 6783794456064 6889791244440 7066452558400 7349110660736 7949759128200 8267749493328 8479743070080 8612239055550 9186388325920 10175691684096 10334686866660 10599678837600 11023665991104 11306324093440 11482985407400 12719614605120 12918358583325 13567588912128 13779582488880 14132905116800 14698221321472 15899518256400 16535498986656 16959486140160 17224478111100 18372776651840 20351383368192 20669373733320 21199357675200 22047331982208 22612648186880 22965970814800 25439229210240 25836717166650 27559164977760 28265810233600 29396442642944 31799036512800 33070997973312 33918972280320 34448956222200 36745553303680 40702766736384 41338747466640 42398715350400 44094663964416 45931941629600 50878458420480 51673434333300 55118329955520 56531620467200 58792885285888 63598073025600 66141995946624 67837944560640 68897912444400 73491106607360 82677494933280 84797430700800 88189327928832 91863883259200 101756916840960 103346868666600 110236659911040 113063240934400 127196146051200 132283991893248 137795824888800 146982213214720 165354989866560 169594861401600 176378655857664 183727766518400 203513833681920 206693737333200 220473319822080 254392292102400 264567983786496 275591649777600 293964426429440 330709979733120 339189722803200 367455533036800 413387474666400 440946639644160 508784584204800 529135967572992 551183299555200 661419959466240 734911066073600 826774949332800 881893279288320 1017569168409600 1102366599110400 1322839918932480 1469822132147200 1653549898665600 2204733198220800 2645679837864960 3307099797331200 4409466396441600 6614199594662400 13228399189324800
- Sum of all divisors σ(n): 51008073884822418
- Sum of proper divisors (its aliquot sum) s(n): 37779674695497618
- 13228399189324800 is an abundant number, because the sum of its proper divisors (37779674695497618) is greater than itself. Its abundance is 24551275506172818
Bases of 13228399189324800
- Binary: 1011101111111100101000101100101010000001110100000000002
- Hexadecimal: 0x2EFF28B2A07400
- Base-36: 3M92QOY6F40
Squares and roots of 13228399189324800
- 13228399189324800 squared (132283991893248002) is 174990545112129025834279895040000
- 13228399189324800 cubed (132283991893248003) is 2314844785100792448461967719537115232468992000000
-
The
square root of 13228399189324800 is 115014778.1344849617 -
The
cube root of 13228399189324800 is 236502.5153039971
Scales and comparisons
How big is 13228399189324800?- 13,228,399,189,324,800 seconds is equal to 420,622,176 years, 4 weeks, 6 days, 16 hours.
-
To count from 1 to 13,228,399,189,324,800 would take you about one billion, two hundred sixty-one million, eight hundred sixty-six thousand, five hundred twenty-eight 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 13228399189324800 cubic inches would be around 19708.5 feet tall.
Recreational maths with 13228399189324800
- 13228399189324800 backwards is 00842398199382231
- 13228399189324800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13228399189324800's digits is 72
- More coming soon!
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