12819891392995200

Names of 12819891392995200

• Cardinal: 12819891392995200 can be written as Twelve quadrillion, eight hundred nineteen trillion, eight hundred ninety-one billion, three hundred ninety-two million, nine hundred ninety-five thousand, two hundred.

Scientific notation

• Scientific notation: 1.28198913929952 × 10¹⁶

Factors of 12819891392995200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 83824605

Divisors of 12819891392995200

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 89 96 100 120 128 150 160 178 179 192 200 240 267 300 320 356 358 384 400 445 480 534 537 600 640 712 716 800 890 895 960 1068 1074 1200 1335 1424 1432 1600 1780 1790 1920 2136 2148 2225 2400 2670 2685 2848 2864 3200 3560 3580 4272 4296 4450 4475 4800 5340 5370 5696 5728 6675 7120 7160 8544 8592 8900 8950 9600 10680 10740 11392 11456 13350 13425 14240 14320 15931 17088 17184 17800 17900 21360 21480 22912 26700 26850 28480 28640 31862 34176 34368 35600 35800 42720 42960 47793 53400 53700 56960 57280 63724 68736 71200 71600 79655 85440 85920 95586 106800 107400 114560 127448 142400 143200 159310 170880 171840 191172 213600 214800 238965 254896 284800 286400 318620 343680 382344 398275 427200 429600 477930 509792 572800 637240 764688 796550 854400 859200 955860 1019584 1194825 1274480 1529376 1593100 1718400 1911720 2039168 2389650 2548960 3058752 3186200 3823440 4779300 5097920 6117504 6372400 7646880 9558600 10195840 12744800 15293760 19117200 25489600 30587520 38234400 50979200 76468800 83824327 152937600 167648654 251472981 335297308 419121635 502945962 670594616 838243270 1005891924 1257364905 1341189232 1676486540 2011783848 2095608175 2514729810 2682378464 3352973080 4023567696 4191216350 5029459620 5364756928 6286824525 6705946160 7460365103 8047135392 8382432700 10058919240 10729513856 12573649050 13411892320 14920730206 15004554533 16094270784 16764865400 20117838480 22381095309 25147298100 26823784640 29841460412 30009109066 32188541568 33529730800 37301825515 40235676960 44762190618 45013663599 50294596200 53647569280 59682920824 60018218132 67059461600 74603651030 75022772665 80471353920 89524381236 90027327198 100589192400 111905476545 119365841648 120036436264 134118923200 149207302060 150045545330 160942707840 179048762472 180054654396 186509127575 201178384800 223810953090 225068317995 238731683296 240072872528 268237846400 298414604120 300091090660 358097524944 360109308792 373018255150 375113863325 402356769600 447621906180 450136635990 477463366592 480145745056 559527382725 596829208240 600182181320 716195049888 720218617584 746036510300 750227726650 804713539200 895243812360 900273271980 954926733184 960291490112 1119054765450 1125341589975 1193658416480 1200364362640 1335405353437 1432390099776 1440437235168 1492073020600 1500455453300 1790487624720 1800546543960 1920582980224 2238109530900 2250683179950 2387316832960 2400728725280 2670810706874 2864780199552 2880874470336 2984146041200 3000910906600 3580975249440 3601093087920 4006216060311 4476219061800 4501366359900 4774633665920 4801457450560 5341621413748 5761748940672 5968292082400 6001821813200 6677026767185 7161950498880 7202186175840 8012432120622 8952438123600 9002732719800 9602914901120 10683242827496 11936584164800 12003643626400 13354053534370 14323900997760 14404372351680 16024864241244 17904876247200 18005465439600 20031080301555 21366485654992 23873168329600 24007287252800 26708107068740 28808744703360 32049728482488 33385133835925 35809752494400 36010930879200 40062160603110 42732971309984 48014574505600 53416214137480 64099456964976 66770267671850 71619504988800 72021861758400 80124321206220 85465942619968 100155401507775 106832428274960 128198913929952 133540535343700 144043723516800 160248642412440 170931885239936 200310803015550 213664856549920 256397827859904 267081070687400 320497284824880 400621606031100 427329713099840 512795655719808 534162141374800 640994569649760 801243212062200 854659426199680 1068324282749600 1281989139299520 1602486424124400 2136648565499200 2563978278599040 3204972848248800 4273297130998400 6409945696497600 12819891392995200
• Sum of all divisors σ(n): 42938509072032000
• Sum of proper divisors (its aliquot sum) s(n): 30118617679036800
• 12819891392995200 is an abundant number, because the sum of its proper divisors (30118617679036800) is greater than itself. Its abundance is 17298726286041600

Bases of 12819891392995200

• Binary: 101101100010111001111110010000100010011101111110000000₂
• Hexadecimal: 0x2D8B9F9089DF80
• Base-36: 3I89SSVLOQO

Squares and roots of 12819891392995200

• 12819891392995200 squared (12819891392995200²) is 164349615328192409491627223040000
• 12819891392995200 cubed (12819891392995200³) is 2106944218987965862536068018649427484049408000000
• The square root of 12819891392995200 is 113224959.2315899225
• The cube root of 12819891392995200 is 234042.5288139557

Scales and comparisons

• 12,819,891,392,995,200 seconds is equal to 407,632,891 years, 40 weeks, 2 hours, 40 minutes.
• To count from 1 to 12,819,891,392,995,200 would take you about one billion, two hundred twenty-two million, eight hundred ninety-eight thousand, six hundred seventy-five 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 12819891392995200 cubic inches would be around 19503.5 feet tall.

Recreational maths with 12819891392995200

• 12819891392995200 backwards is 00259929319891821
• The number of decimal digits it has is: 17
• The sum of 12819891392995200's digits is 78
• More coming soon!