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14344844341 = 1773137139607
BaseRepresentation
bin11010101110000010…
…01111010000110101
31101000201100121002011
431113001033100311
5213334240004331
610331231444221
71015323110422
oct152701172065
941021317064
1014344844341
1160a1321963
122944086671
131477bab499
149a1200d49
1558e54e3b1
hex35704f435

14344844341 has 32 divisors (see below), whose sum is σ = 15646417920. Its totient is φ = 13102166016.

The previous prime is 14344844329. The next prime is 14344844347.

14344844341 is nontrivially palindromic in base 10.

14344844341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14344844341 - 211 = 14344842293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14344844294 and 14344844303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344844347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23632060 + ... + 23632666.

It is an arithmetic number, because the mean of its divisors is an integer number (488950560).

Almost surely, 214344844341 is an apocalyptic number.

It is an amenable number.

14344844341 is a deficient number, since it is larger than the sum of its proper divisors (1301573579).

14344844341 is a wasteful number, since it uses less digits than its factorization.

14344844341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973.

The product of its digits is 294912, while the sum is 40.

The spelling of 14344844341 in words is "fourteen billion, three hundred forty-four million, eight hundred forty-four thousand, three hundred forty-one".

Divisors: 1 17 73 137 139 607 1241 2329 2363 10001 10147 10319 19043 44311 83159 84373 170017 172499 323731 753287 1390139 1413703 1434341 6070607 6159229 11559101 23632363 103200319 104706893 196504717 843814373 14344844341