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14336709696 = 263416632
BaseRepresentation
bin11010101101000100…
…01101010001000000
31101000011001022110000
431112202031101000
5213330144202241
610330341240000
71015164010311
oct152642152100
941004038400
1014336709696
116097776211
122941403000
1314762c099a
149a00c4608
1558d993eb6
hex35688d440

14336709696 has 105 divisors (see below), whose sum is σ = 42524069511. Its totient is φ = 4776029568.

The previous prime is 14336709649. The next prime is 14336709713. The reversal of 14336709696 is 69690763341.

The square root of 14336709696 is 119736.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8620161 + ... + 8621823.

Almost surely, 214336709696 is an apocalyptic number.

14336709696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14336709696 is the 119736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14336709696

14336709696 is an abundant number, since it is smaller than the sum of its proper divisors (28187359815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14336709696 is an frugal number, since it uses more digits than its factorization.

14336709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 14336709696 in words is "fourteen billion, three hundred thirty-six million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1663 1728 2592 3326 4989 5184 6652 9978 13304 14967 19956 26608 29934 39912 44901 53216 59868 79824 89802 106432 119736 134703 159648 179604 239472 269406 319296 359208 478944 538812 718416 957888 1077624 1436832 2155248 2765569 2873664 4310496 5531138 8296707 8620992 11062276 16593414 22124552 24890121 33186828 44249104 49780242 66373656 74670363 88498208 99560484 132747312 149340726 176996416 199120968 224011089 265494624 298681452 398241936 448022178 530989248 597362904 796483872 896044356 1194725808 1592967744 1792088712 2389451616 3584177424 4778903232 7168354848 14336709696