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34342241013 = 3247188942979
BaseRepresentation
bin11111111110111101…
…010000001011110101
310021122100222121020100
4133332331100023311
51030313103203023
623435425224313
72324014142433
oct377675201365
9107570877210
1034342241013
1113623332a73
1267a5192099
133313b84192
14193b009d53
15d5ee53c43
hex7fef502f5

34342241013 has 24 divisors (see below), whose sum is σ = 50688892800. Its totient is φ = 22395320064.

The previous prime is 34342240997. The next prime is 34342241033. The reversal of 34342241013 is 31014224343.

34342241013 is a `hidden beast` number, since 3 + 434 + 224 + 1 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 34342241013 - 24 = 34342240997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342241033) 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 23 ways as a sum of consecutive naturals, for example, 777558 + ... + 820536.

It is an arithmetic number, because the mean of its divisors is an integer number (2112037200).

Almost surely, 234342241013 is an apocalyptic number.

It is an amenable number.

34342241013 is a deficient number, since it is larger than the sum of its proper divisors (16346651787).

34342241013 is a wasteful number, since it uses less digits than its factorization.

34342241013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44921 (or 44918 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34342241013 its reverse (31014224343), we get a palindrome (65356465356).

The spelling of 34342241013 in words is "thirty-four billion, three hundred forty-two million, two hundred forty-one thousand, thirteen".

Divisors: 1 3 9 47 141 423 1889 5667 17001 42979 88783 128937 266349 386811 799047 2020013 6060039 18180117 81187331 243561993 730685979 3815804557 11447413671 34342241013