12823746891045600

Names of 12823746891045600

• Cardinal: 12823746891045600 can be written as Twelve quadrillion, eight hundred twenty-three trillion, seven hundred forty-six billion, eight hundred ninety-one million, forty-five thousand, six hundred.

Scientific notation

• Scientific notation: 1.28237468910456 × 10¹⁶

Factors of 12823746891045600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 42668417

Divisors of 12823746891045600

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 75 80 96 100 120 122 150 160 183 200 240 244 300 305 366 400 480 488 600 610 732 800 915 976 1200 1220 1464 1525 1830 1952 2053 2400 2440 2928 3050 3660 4106 4575 4880 5856 6100 6159 7320 8212 9150 9760 10265 12200 12318 14640 16424 18300 20530 24400 24636 29280 30795 32848 36600 41060 48800 49272 51325 61590 65696 73200 82120 98544 102650 123180 125233 146400 153975 164240 197088 205300 246360 250466 307950 328480 375699 410600 492720 500932 615900 626165 751398 821200 985440 1001864 1231800 1252330 1502796 1642400 1878495 2003728 2463600 2504660 3005592 3130825 3756990 4007456 4927200 5009320 6011184 6261650 7513980 9392475 10018640 12022368 12523300 15027960 18784950 20037280 25046600 30055920 37569900 42666293 50093200 60111840 75139800 85332586 100186400 127998879 150279600 170665172 213331465 255997758 300559200 341330344 426662930 511995516 639994395 682660688 853325860 1023991032 1066657325 1279988790 1365321376 1706651720 2047982064 2133314650 2559977580 2602643873 3199971975 3413303440 4095964128 4266629300 5119955160 5205287746 6399943950 6826606880 7807931619 8533258600 10239910320 10410575492 12799887900 13013219365 15615863238 17066517200 20479820640 20821150984 25599775800 26026438730 31231726476 34133034400 39039658095 41642301968 51199551600 52052877460 62463452952 65066096825 78079316190 83284603936 87593899529 102399103200 104105754920 124926905904 130132193650 156158632380 175187799058 195198290475 208211509840 249853811808 260264387300 262781698587 312317264760 350375598116 390396580950 416423019680 437969497645 520528774600 525563397174 624634529520 700751196232 780793161900 875938995290 1041057549200 1051126794348 1249269059040 1313908492935 1401502392464 1561586323800 1751877990580 2082115098400 2102253588696 2189847488225 2627816985870 2803004784928 3123172647600 3503755981160 4204507177392 4379694976450 5255633971740 5343227871269 6246345295200 6569542464675 7007511962320 8409014354784 8759389952900 10511267943480 10686455742538 13139084929350 14015023924640 16029683613807 17518779905800 21022535886960 21372911485076 26278169858700 26716139356345 32059367227614 35037559811600 42045071773920 42745822970152 52556339717400 53432278712690 64118734455228 70075119623200 80148418069035 85491645940304 105112679434800 106864557425380 128237468910456 133580696781725 160296836138070 170983291880608 210225358869600 213729114850760 256474937820912 267161393563450 320593672276140 400742090345175 427458229701520 512949875641824 534322787126900 641187344552280 801484180690350 854916459403040 1068645574253800 1282374689104560 1602968361380700 2137291148507600 2564749378209120 3205936722761400 4274582297015200 6411873445522800 12823746891045600
• Sum of all divisors σ(n): 42446245831333344
• Sum of proper divisors (its aliquot sum) s(n): 29622498940287744
• 12823746891045600 is an abundant number, because the sum of its proper divisors (29622498940287744) is greater than itself. Its abundance is 16798752049242144

Bases of 12823746891045600

• Binary: 101101100011110010000100111110001000010101101011100000₂
• Hexadecimal: 0x2D8F213E215AE0
• Base-36: 3I9MZZRLFXC

Squares and roots of 12823746891045600

• 12823746891045600 squared (12823746891045600²) is 164448484325601691597461279360000
• 12823746891045600 cubed (12823746891045600³) is 2108845739607595775212532341822526704098816000000
• The square root of 12823746891045600 is 113241983.7827190309
• The cube root of 12823746891045600 is 234065.9887129085

Scales and comparisons

• 12,823,746,891,045,600 seconds is equal to 407,755,484 years, 35 weeks, 3 days, 3 hours, 20 minutes.
• To count from 1 to 12,823,746,891,045,600 would take you about one billion, two hundred twenty-three million, two hundred sixty-six thousand, four hundred fifty-four 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 12823746891045600 cubic inches would be around 19505.5 feet tall.

Recreational maths with 12823746891045600

• 12823746891045600 backwards is 00654019864732821
• The number of decimal digits it has is: 17
• The sum of 12823746891045600's digits is 66
• More coming soon!