13824802268297216

Names of 13824802268297216

• Cardinal: 13824802268297216 can be written as Thirteen quadrillion, eight hundred twenty-four trillion, eight hundred two billion, two hundred sixty-eight million, two hundred ninety-seven thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.3824802268297216 × 10¹⁶

Factors of 13824802268297216

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 418

Divisors of 13824802268297216

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 409 448 512 686 784 818 896 1024 1372 1568 1636 1792 2048 2401 2744 2863 3136 3272 3584 4802 5488 5726 6272 6544 7168 9604 10976 11452 12544 13088 14336 16807 19208 20041 21952 22904 25088 26176 33614 38416 40082 43904 45808 50176 52352 67228 76832 80164 87808 91616 100352 104704 117649 134456 140287 153664 160328 167281 175616 183232 209408 235298 268912 280574 307328 320656 334562 351232 366464 418816 470596 537824 561148 614656 641312 669124 702464 732928 823543 837632 941192 982009 1075648 1122296 1170967 1229312 1282624 1338248 1465856 1647086 1882384 1964018 2151296 2244592 2341934 2458624 2565248 2676496 2931712 3294172 3764768 3928036 4302592 4489184 4683868 4917248 5130496 5352992 5764801 5863424 6588344 6874063 7529536 7856072 8196769 8605184 8978368 9367736 10260992 10705984 11529602 13176688 13748126 15059072 15712144 16393538 17210368 17956736 18735472 20521984 21411968 23059204 26353376 27496252 30118144 31424288 32787076 34420736 35913472 37470944 40353607 41043968 42823936 46118408 48118441 52706752 54992504 57377383 60236288 62848576 65574152 71826944 74941888 80707214 85647872 92236816 96236882 105413504 109985008 114754766 120472576 125697152 131148304 143653888 149883776 161414428 171295744 184473632 192473764 210827008 219970016 229509532 240945152 251394304 262296608 287307776 299767552 322828856 336829087 342591488 368947264 384947528 401641681 421654016 439940032 459019064 502788608 524593216 599535104 645657712 673658174 737894528 769895056 803283362 843308032 879880064 918038128 1005577216 1049186432 1199070208 1291315424 1347316348 1475789056 1539790112 1606566724 1686616064 1759760128 1836076256 2011154432 2098372864 2357803609 2398140416 2582630848 2694632696 2811491767 2951578112 3079580224 3213133448 3519520256 3672152512 4196745728 4715607218 5165261696 5389265392 5622983534 5903156224 6159160448 6426266896 7039040512 7344305024 8393491456 9431214436 10330523392 10778530784 11245967068 11806312448 12318320896 12852533792 14078081024 14688610048 16504625263 16786982912 18862428872 19680442369 20661046784 21557061568 22491934136 24636641792 25705067584 29377220096 33009250526 37724857744 39360884738 41322093568 43114123136 44983868272 49273283584 51410135168 58754440192 66018501052 75449715488 78721769476 82644187136 86228246272 89967736544 98546567168 102820270336 117508880384 132037002104 137763096583 150899430976 157443538952 172456492544 179935473088 205640540672 264074004208 275526193166 301798861952 314887077904 344912985088 359870946176 411281081344 528148008416 551052386332 603597723904 629774155808 689825970176 719741892352 822562162688 964341676081 1056296016832 1102104772664 1207195447808 1259548311616 1439483784704 1928683352162 2112592033664 2204209545328 2414390895616 2519096623232 2878967569408 3857366704324 4225184067328 4408419090656 4828781791232 5038193246464 5757935138816 6750391732567 7714733408648 8450368134656 8816838181312 10076386492928 13500783465134 15429466817296 16900736269312 17633676362624 20152772985856 27001566930268 30858933634592 33801472538624 35267352725248 40305545971712 54003133860536 61717867269184 70534705450496 108006267721072 123435734538368 141069410900992 216012535442144 246871469076736 282138821801984 432025070884288 493742938153472 864050141768576 987485876306944 1728100283537152 1974971752613888 3456200567074304 6912401134148608 13824802268297216
• Sum of all divisors σ(n): 32329040024441160
• Sum of proper divisors (its aliquot sum) s(n): 18504237756143944
• 13824802268297216 is an abundant number, because the sum of its proper divisors (18504237756143944) is greater than itself. Its abundance is 4679435487846728

Bases of 13824802268297216

• Binary: 110001000111011001010110011100010010101011100000000000₂
• Hexadecimal: 0x311D959C4AB800
• Base-36: 3S4HEHGQ6M8

Squares and roots of 13824802268297216

• 13824802268297216 squared (13824802268297216²) is 191125157757515848685860113350656
• 13824802268297216 cubed (13824802268297216³) is 2642267514494768353846281545063902747537436573696
• The square root of 13824802268297216 is 117578919.3193117251
• The cube root of 13824802268297216 is 240004.6426665393

Scales and comparisons

• 13,824,802,268,297,216 seconds is equal to 439,585,949 years, 10 weeks, 6 days, 16 hours, 46 minutes, 56 seconds.
• To count from 1 to 13,824,802,268,297,216 would take you about one billion, three hundred eighteen million, seven hundred fifty-seven thousand, eight hundred forty-seven 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 13824802268297216 cubic inches would be around 20000.4 feet tall.

Recreational maths with 13824802268297216

• 13824802268297216 backwards is 61279286220842831
• The number of decimal digits it has is: 17
• The sum of 13824802268297216's digits is 71
• More coming soon!