12378683848972700728000

Names of 12378683848972700728000

• Cardinal: 12378683848972700728000 can be written as Twelve sextillion, three hundred seventy-eight quintillion, six hundred eighty-three quadrillion, eight hundred forty-eight trillion, nine hundred seventy-two billion, seven hundred million, seven hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.2378683848972700728 × 10²²

Factors of 12378683848972700728000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 165247

Divisors of 12378683848972700728000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 320 343 350 392 400 448 490 500 560 686 700 784 800 875 980 1000 1120 1225 1372 1400 1568 1600 1715 1750 1960 2000 2240 2450 2744 2800 3136 3430 3500 3920 4000 4900 5488 5600 6125 6860 7000 7840 8000 8575 9800 10976 11200 12250 13720 14000 15680 17150 19600 21952 24500 27440 28000 34300 39200 42875 49000 54880 56000 68600 78400 85750 98000 109760 137200 165233 171500 196000 274400 330466 343000 392000 548800 660932 686000 826165 1156631 1321864 1372000 1652330 2313262 2643728 2744000 3304660 4130825 4626524 5287456 5783155 6609320 8096417 8261650 9253048 10574912 11566310 13218640 16192834 16523300 18506096 20654125 23132620 26437280 28915775 32385668 33046600 37012192 40482085 41308250 46265240 52874560 56674919 57831550 64771336 66093200 74024384 80964170 82616500 92530480 113349838 115663100 129542672 132186400 144578875 161928340 165233000 185060960 202410425 226699676 231326200 259085344 264372800 283374595 289157750 323856680 330466000 370121920 404820850 453399352 462652400 518170688 566749190 578315500 647713360 660932000 809641700 906798704 925304800 1012052125 1133498380 1156631000 1295426720 1321864000 1416872975 1619283400 1813597408 1850609600 2024104250 2266996760 2313262000 2590853440 2833745950 3238566800 3627194816 4048208500 4533993520 4626524000 5667491900 6477133600 7084364875 8096417000 9067987040 9253048000 11334983800 12954267200 14168729750 16192834000 18135974080 22669967600 27301944289 28337459500 32385668000 45339935200 54603888578 56674919000 64771336000 90679870400 109207777156 113349838000 136509721445 191113610023 218415554312 226699676000 273019442890 382227220046 436831108624 453399352000 546038885780 682548607225 764454440092 873662217248 955568050115 1092077771560 1337795270161 1365097214450 1528908880184 1747324434496 1911136100230 2184155543120 2675590540322 2730194428900 3057817760368 3412743036125 3822272200460 4368311086240 4777840250575 5351181080644 5460388857800 6115635520736 6688976350805 6825486072250 7644544400920 8736622172480 9364566891127 9555680501150 10702362161288 10920777715600 12231271041472 13377952701610 13650972144500 15289088801840 18729133782254 19111361002300 21404724322576 21841555431200 23889201252875 26755905403220 27301944289000 30578177603680 33444881754025 37458267564508 38222722004600 42809448645152 43683110862400 46822834455635 47778402505750 53511810806440 54603888578000 61156355207360 66889763508050 74916535129016 76445444009200 85618897290304 93645668911270 95556805011500 107023621612880 109207777156000 133779527016100 149833070258032 152890888018400 167224408770125 187291337822540 191113610023000 214047243225760 218415554312000 234114172278175 267559054032200 299666140516064 305781776036800 334448817540250 374582675645080 382227220046000 428094486451520 468228344556350 535118108064400 599332281032128 668897635080500 749165351290160 764454440092000 936456689112700 1070236216128800 1170570861390875 1337795270161000 1498330702580320 1528908880184000 1872913378225400 2140472432257600 2341141722781750 2675590540322000 2996661405160640 3745826756450800 4682283445563500 5351181080644000 7491653512901600 9364566891127000 10702362161288000 14983307025803200 18729133782254000 37458267564508000 74916535129016000
• Sum of all divisors σ(n): 12378825296195119582400
• Sum of proper divisors (its aliquot sum) s(n): 141447222418854400
• 12378683848972700728000 is a deficient number, because the sum of its proper divisors (141447222418854400) is less than itself. Its deficiency is 12378542401750281873600

Bases of 12378683848972700728000

• Binary: 10100111110000110010111111011011111001000000010010111111111011101011000000₂
• Hexadecimal: 0x29F0CBF6F9012FFBAC0
• Base-36: 20KFFPULTNE2ZLS

Squares and roots of 12378683848972700728000

• 12378683848972700728000 squared (12378683848972700728000²) is 153231813832817596686209029394251729984000000
• 12378683848972700728000 cubed (12378683848972700728000³) is 1896808179041090853297696183102267024450960155202696228352000000000
• The square root of 12378683848972700728000 is 111259533744.1816746355
• 12378683848972700728000 is a perfect cube number. Its cube root is 23132620

Scales and comparisons

• 12,378,683,848,972,700,728,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 12,378,683,848,972,700,728,000 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 12378683848972700728000 cubic inches would be around 1927718.3 feet tall.

Recreational maths with 12378683848972700728000

• 12378683848972700728000 backwards is 00082700727984838687321
• 12378683848972700728000 is a Harshad number.
• The number of decimal digits it has is: 23
• The sum of 12378683848972700728000's digits is 100
• More coming soon!