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13440243314144 = 2525713271231553
BaseRepresentation
bin1100001110010100110011…
…1011011010110111100000
31202120212121122222002000202
43003211030323122313200
53230201104242023034
644330210150404332
72555011521131033
oct303451473326740
952525548862022
1013440243314144
114311a7aa676a9
1216109863606a8
137665428ba47a
14346722c1101a
151849290ca47e
hexc394cedade0

13440243314144 has 48 divisors (see below), whose sum is σ = 26583477334848. Its totient is φ = 6688923451392.

The previous prime is 13440243314119. The next prime is 13440243314153. The reversal of 13440243314144 is 44141334204431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13440243314098 and 13440243314107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10297472 + ... + 11529024.

It is an arithmetic number, because the mean of its divisors is an integer number (553822444476).

Almost surely, 213440243314144 is an apocalyptic number.

It is an amenable number.

13440243314144 is a deficient number, since it is larger than the sum of its proper divisors (13143234020704).

13440243314144 is a wasteful number, since it uses less digits than its factorization.

13440243314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233147 (or 1233139 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 13440243314144 its reverse (44141334204431), we get a palindrome (57581577518575).

The spelling of 13440243314144 in words is "thirteen trillion, four hundred forty billion, two hundred forty-three million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 257 514 1028 1327 2056 2654 4112 5308 8224 10616 21232 42464 341039 682078 1231553 1364156 2463106 2728312 4926212 5456624 9852424 10913248 19704848 39409696 316509121 633018242 1266036484 1634270831 2532072968 3268541662 5064145936 6537083324 10128291872 13074166648 26148333296 52296666592 420007603567 840015207134 1680030414268 3360060828536 6720121657072 13440243314144