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34342440122421 = 32171147971955281
BaseRepresentation
bin1111100111011111110001…
…11100011011100000110101
311111121002211200220002100100
413303233320330123200311
514000131304132404141
6201012411005304313
710143105452410224
oct763577074334065
9144532750802310
1034342440122421
11aa40602164062
123a27965865099
13162162a811c52
1486a27c100cbb
153e84d42790b6
hex1f3bf8f1b835

34342440122421 has 24 divisors (see below), whose sum is σ = 52524216350424. Its totient is φ = 21547998996480.

The previous prime is 34342440122413. The next prime is 34342440122449. The reversal of 34342440122421 is 12422104424343.

34342440122421 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 2 + 4 + 401 + 2 + 242 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4495612721796 + 29846827400625 = 2120286^2 + 5463225^2 .

It is not a de Polignac number, because 34342440122421 - 23 = 34342440122413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342440122411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16586301 + ... + 18541581.

It is an arithmetic number, because the mean of its divisors is an integer number (2188509014601).

Almost surely, 234342440122421 is an apocalyptic number.

It is an amenable number.

34342440122421 is a deficient number, since it is larger than the sum of its proper divisors (18181776228003).

34342440122421 is a wasteful number, since it uses less digits than its factorization.

34342440122421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070101 (or 2070098 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34342440122421 its reverse (12422104424343), we get a palindrome (46764544546764).

The spelling of 34342440122421 in words is "thirty-four trillion, three hundred forty-two billion, four hundred forty million, one hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 17 51 153 114797 344391 1033173 1951549 1955281 5854647 5865843 17563941 17597529 33239777 99719331 299157993 224460392957 673381178871 2020143536613 3815826680269 11447480040807 34342440122421