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14344411444341 = 3113731344098513
BaseRepresentation
bin1101000010111101000110…
…0011000111010001110101
31212210022102200211002222120
43100233101203013101311
53340004323312204331
650301422011350153
73010230613335456
oct320572143072165
955708380732876
1014344411444341
1146304813363a0
121738062452359
13800897a741b4
143783b79d512d
1519d1e74dd796
hexd0bd18c7475

14344411444341 has 64 divisors (see below), whose sum is σ = 21504369680640. Its totient is φ = 8428694077440.

The previous prime is 14344411444309. The next prime is 14344411444351.

14344411444341 is nontrivially palindromic in base 10.

14344411444341 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 14344411444341 - 25 = 14344411444309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14344411444293 and 14344411444302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344411444351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684996501 + ... + 1685005013.

It is an arithmetic number, because the mean of its divisors is an integer number (336005776260).

Almost surely, 214344411444341 is an apocalyptic number.

14344411444341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14344411444341 is a deficient number, since it is larger than the sum of its proper divisors (7159958236299).

14344411444341 is a wasteful number, since it uses less digits than its factorization.

14344411444341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13286.

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 1434441 and 1444341, that added together give a palindrome (2878782).

The spelling of 14344411444341 in words is "fourteen trillion, three hundred forty-four billion, four hundred eleven million, four hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 11 33 37 111 313 407 939 1221 3443 4409 8513 10329 11581 13227 25539 34743 48499 93643 127391 145497 163133 280929 314981 382173 489399 944943 1380017 1794463 2664569 3464791 4140051 5383389 7993707 10394373 15180187 29310259 37533817 45540561 51060629 87930777 98589053 112601451 153181887 295767159 412871987 561666919 1084479583 1238615961 1388751229 1685000757 3253438749 4166253687 11748084721 15276263519 35244254163 45828790557 129228931931 387686795793 434679134677 1304037404031 4781470481447 14344411444341