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342444403141 = 19173132778509
BaseRepresentation
bin1001111101110110100…
…01101110100111000101
31012201220112120002222021
410332323101232213011
521102311231400031
6421152232003141
733512043254041
oct4767321564705
91181815502867
10342444403141
11122258a35625
125644bb304b1
13263a5445859
141280820b021
158d93a8d511
hex4fbb46e9c5

342444403141 has 16 divisors (see below), whose sum is σ = 362829254400. Its totient is φ = 322298578368.

The previous prime is 342444403127. The next prime is 342444403159. The reversal of 342444403141 is 141304444243.

It is not a de Polignac number, because 342444403141 - 27 = 342444403013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342444403097 and 342444403106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342444403241) 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 15 ways as a sum of consecutive naturals, for example, 4322595 + ... + 4401103.

It is an arithmetic number, because the mean of its divisors is an integer number (22676828400).

Almost surely, 2342444403141 is an apocalyptic number.

It is an amenable number.

342444403141 is a deficient number, since it is larger than the sum of its proper divisors (20384851259).

342444403141 is a wasteful number, since it uses less digits than its factorization.

342444403141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80028.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 342444403141 its reverse (141304444243), we get a palindrome (483748847384).

The spelling of 342444403141 in words is "three hundred forty-two billion, four hundred forty-four million, four hundred three thousand, one hundred forty-one".

Divisors: 1 19 173 1327 3287 25213 78509 229571 1491671 4361849 13582057 104181443 258059083 1979447417 18023389639 342444403141