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1344420440041 = 7538344839739
BaseRepresentation
bin10011100100000101101…
…100111110011111101001
311202112011222020121111011
4103210011230332133221
5134011333113040131
62505341311503521
7166062664121440
oct23440554763751
94675158217434
101344420440041
11479190320268
12198683827ba1
1399a16c184a3
14490dac71d57
1524e88a320b1
hex13905b3e7e9

1344420440041 has 32 divisors (see below), whose sum is σ = 1584847918080. Its totient is φ = 1116631998144.

The previous prime is 1344420440023. The next prime is 1344420440087. The reversal of 1344420440041 is 1400440244431.

It is not a de Polignac number, because 1344420440041 - 25 = 1344420440009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1344420439985 and 1344420440012.

It is not an unprimeable number, because it can be changed into a prime (1344480440041) 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 31 ways as a sum of consecutive naturals, for example, 138040150 + ... + 138049888.

It is an arithmetic number, because the mean of its divisors is an integer number (49526497440).

Almost surely, 21344420440041 is an apocalyptic number.

It is an amenable number.

1344420440041 is a deficient number, since it is larger than the sum of its proper divisors (240427478039).

1344420440041 is an equidigital number, since it uses as much as digits as its factorization.

1344420440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14365.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1344420440041 its reverse (1400440244431), we get a palindrome (2744860684472).

The spelling of 1344420440041 in words is "one trillion, three hundred forty-four billion, four hundred twenty million, four hundred forty thousand, forty-one".

Divisors: 1 7 53 83 371 581 4399 4483 9739 30793 31381 68173 237599 372089 516167 808337 1663193 2604623 3613169 5658359 19720717 42841861 43659937 138045019 299893027 305619559 2313976661 3623774771 16197836627 25366423397 192060062863 1344420440041