13824096

Names of 13824096

• Cardinal: 13824096 can be written as Thirteen million, eight hundred twenty-four thousand and ninety-six.

Scientific notation

• Scientific notation: 1.3824096 × 10⁷

Factors of 13824096

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 101

Divisors of 13824096

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 53 57 66 76 78 88 96 104 106 114 132 143 152 156 159 176 208 209 212 228 247 264 286 304 312 318 352 416 418 424 429 456 494 528 572 583 608 624 627 636 689 741 836 848 858 912 988 1007 1056 1144 1166 1248 1254 1272 1378 1482 1672 1696 1716 1749 1824 1976 2014 2067 2288 2332 2508 2544 2717 2756 2964 3021 3344 3432 3498 3952 4028 4134 4576 4664 5016 5088 5434 5512 5928 6042 6688 6864 6996 7579 7904 8056 8151 8268 9328 10032 10868 11024 11077 11856 12084 13091 13728 13992 15158 16112 16302 16536 18656 20064 21736 22048 22154 22737 23712 24168 26182 27984 30316 32224 32604 33072 33231 39273 43472 44308 45474 48336 52364 55968 60632 65208 66144 66462 78546 86944 88616 90948 96672 104728 121264 130416 132924 144001 157092 177232 181896 209456 242528 260832 265848 288002 314184 354464 363792 418912 432003 531696 576004 628368 727584 864006 1063392 1152008 1256736 1728012 2304016 3456024 4608032 6912048 13824096
• Sum of all divisors σ(n): 45722880
• Sum of proper divisors (its aliquot sum) s(n): 31898784
• 13824096 is an abundant number, because the sum of its proper divisors (31898784) is greater than itself. Its abundance is 18074688

Bases of 13824096

• Binary: 110100101111000001100000₂
• Hexadecimal: 0xD2F060
• Base-36: 88AQO

Squares and roots of 13824096

• 13824096 squared (13824096²) is 191105630217216
• 13824096 cubed (13824096³) is 2641862578263294836736
• The square root of 13824096 is 3718.0769222811
• The cube root of 13824096 is 240.0005555543

Scales and comparisons

• 13,824,096 seconds is equal to 22 weeks, 6 days, 1 minute, 36 seconds.
• To count from 1 to 13,824,096 would take you about thirty-four weeks!

  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 13824096 cubic inches would be around 20 feet tall.

Recreational maths with 13824096

• 13824096 backwards is 69042831
• 13824096 is a Harshad number.
• The number of decimal digits it has is: 8
• The sum of 13824096's digits is 33
• More coming soon!