12824816523008

Names of 12824816523008

• Cardinal: 12824816523008 can be written as Twelve trillion, eight hundred twenty-four billion, eight hundred sixteen million, five hundred twenty-three thousand and eight.

Scientific notation

• Scientific notation: 1.2824816523008 × 10¹³

Factors of 12824816523008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2969

Divisors of 12824816523008

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 139 148 224 256 259 278 296 448 518 556 592 653 896 973 1036 1112 1184 1306 1792 1946 2072 2131 2224 2368 2612 3892 4144 4262 4448 4571 4736 5143 5224 7784 8288 8524 8896 9142 9472 10286 10448 14917 15568 16576 17048 17792 18284 20572 20896 24161 29834 31136 33152 34096 35584 36001 36568 41144 41792 48322 59668 62272 66304 68192 72002 73136 78847 82288 83584 90767 96644 119336 124544 136384 144004 146272 157694 164576 167168 169127 181534 193288 238672 249088 272768 288008 292544 296209 315388 329152 338254 363068 386576 477344 545536 551929 576016 585088 592418 630776 635369 658304 676508 726136 773152 954688 1103858 1152032 1170176 1184836 1261552 1270738 1316608 1353016 1391543 1452272 1546304 1909376 2073463 2207716 2304064 2369672 2523104 2541476 2706032 2783086 2904544 3092608 3358379 3818752 4146926 4415432 4608128 4739344 5046208 5082952 5412064 5566172 5809088 6185216 6716758 8293852 8830864 9216256 9478688 9740801 10092416 10165904 10824128 10959733 11132344 11618176 13433516 16587704 17661728 18957376 19481602 20184832 20331808 21648256 21919466 22264688 23236352 23508653 26867032 33175408 35323456 37914752 38963204 40663616 43296512 43838932 44529376 47017306 51487091 53734064 66350816 70646912 75829504 76718131 77926408 81327232 87677864 89058752 94034612 102974182 107468128 132701632 141293824 153436262 155852816 162654464 175355728 178117504 188069224 193424477 205948364 214936256 265403264 306872524 311705632 350711456 356235008 360409637 376138448 386848954 411896728 429872512 530806528 613745048 623411264 701422912 720819274 752276896 773697908 823793456 859745024 1227490096 1246822528 1353971339 1402845824 1441638548 1504553792 1547395816 1647586912 2454980192 2493645056 2707942678 2805691648 2883277096 3009107584 3094791632 3295173824 4909960384 5415885356 5766554192 6018215168 6189583264 6590347648 7156705649 9819920768 10831770712 11533108384 12379166528 13180695296 14313411298 19639841536 21663541424 23066216768 24758333056 28626822596 43327082848 46132433536 49516666112 50096939543 57253645192 86654165696 92264867072 100193879086 114507290384 173308331392 200387758172 229014580768 346616662784 400775516344 458029161536 801551032688 916058323072 1603102065376 1832116646144 3206204130752 6412408261504 12824816523008
• Sum of all divisors σ(n): 30324068436480
• Sum of proper divisors (its aliquot sum) s(n): 17499251913472
• 12824816523008 is an abundant number, because the sum of its proper divisors (17499251913472) is greater than itself. Its abundance is 4674435390464

Bases of 12824816523008

• Binary: 10111010101000000010101000100001011100000000₂
• Hexadecimal: 0xBAA02A21700
• Base-36: 4JNN0MPKW

Squares and roots of 12824816523008

• 12824816523008 squared (12824816523008²) is 164475918848819006593368064
• 12824816523008 cubed (12824816523008³) is 2109373481689256942145863241460468416512
• The square root of 12824816523008 is 3581175.2991173163
• The cube root of 12824816523008 is 23407.2496366361

Scales and comparisons

• 12,824,816,523,008 seconds is equal to 407,789 years, 25 weeks, 5 days, 10 hours, 10 minutes, 8 seconds.
• To count from 1 to 12,824,816,523,008 would take you about one million, nineteen thousand, four hundred seventy-three 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 12824816523008 cubic inches would be around 1950.6 feet tall.

Recreational maths with 12824816523008

• 12824816523008 backwards is 80032561842821
• The number of decimal digits it has is: 14
• The sum of 12824816523008's digits is 50
• More coming soon!