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34342455424343 = 1123145177935003
BaseRepresentation
bin1111100111011111110011…
…10110110011010101010111
311111121002212202200111122012
413303233321312303111113
514000131322042034333
6201012412313254435
710143106026441233
oct763577166632527
9144532782614565
1034342455424343
11aa4060a865680
123a2796aa0441b
131621630a3bb41
1486a2801655c3
153e84d579ce48
hex1f3bf9db3557

34342455424343 has 16 divisors (see below), whose sum is σ = 39093699085056. Its totient is φ = 29862767077440.

The previous prime is 34342455424327. The next prime is 34342455424357.

It is a happy number.

34342455424343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34342455424343 - 24 = 34342455424327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34342455424291 and 34342455424300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342455424313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36262280 + ... + 37197282.

It is an arithmetic number, because the mean of its divisors is an integer number (2443356192816).

Almost surely, 234342455424343 is an apocalyptic number.

34342455424343 is a deficient number, since it is larger than the sum of its proper divisors (4751243660713).

34342455424343 is a wasteful number, since it uses less digits than its factorization.

34342455424343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080214.

The product of its digits is 33177600, while the sum is 50.

It can be divided in two parts, 3434245 and 5424343, that added together give a palindrome (8858588).

The spelling of 34342455424343 in words is "thirty-four trillion, three hundred forty-two billion, four hundred fifty-five million, four hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 11 23 253 145177 935003 1596947 3339071 10285033 21505069 36729781 236555759 135740930531 1493150235841 3122041402213 34342455424343