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11344055044311 = 3211114586414589
BaseRepresentation
bin1010010100010011111001…
…0111110000100011010111
31111011110222200220211121100
42211010332113300203113
52441330111042404221
640043215325121143
72250403154620263
oct245047627604327
944143880824540
1011344055044311
113683a94374040
1213326790b91b3
1364398045a002
142b30ab6470a3
1514a141849926
hexa513e5f08d7

11344055044311 has 12 divisors (see below), whose sum is σ = 17875480676040. Its totient is φ = 6875184875280.

The previous prime is 11344055044297. The next prime is 11344055044349.

11344055044311 is a `hidden beast` number, since 1 + 1 + 34 + 4 + 0 + 550 + 44 + 31 + 1 = 666.

11344055044311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11344055044311 - 25 = 11344055044279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344055044381) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57293207196 + ... + 57293207393.

It is an arithmetic number, because the mean of its divisors is an integer number (1489623389670).

Almost surely, 211344055044311 is an apocalyptic number.

11344055044311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11344055044311 is a deficient number, since it is larger than the sum of its proper divisors (6531425631729).

11344055044311 is a wasteful number, since it uses less digits than its factorization.

11344055044311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114586414606 (or 114586414603 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1134405 and 5044311, that added together give a palindrome (6178716).

The spelling of 11344055044311 in words is "eleven trillion, three hundred forty-four billion, fifty-five million, forty-four thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 114586414589 343759243767 1031277731301 1260450560479 3781351681437 11344055044311