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34340141313 = 3211813230797
BaseRepresentation
bin11111111110110101…
…001111100100000001
310021122020000220222200
4133332311033210001
51030312034010223
623435312223413
72323660246032
oct377665174401
9107566026880
1034340141313
1113622129485
1267a453ab69
1333135ca55a
14193aa20a89
15d5eb8ba43
hex7fed4f901

34340141313 has 12 divisors (see below), whose sum is σ = 49644442068. Its totient is φ = 22874035680.

The previous prime is 34340141309. The next prime is 34340141323. The reversal of 34340141313 is 31314104343.

34340141313 is a `hidden beast` number, since 3 + 4 + 340 + 1 + 4 + 1 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32352497424 + 1987643889 = 179868^2 + 44583^2 .

It is not a de Polignac number, because 34340141313 - 22 = 34340141309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34340141323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1604770 + ... + 1626027.

It is an arithmetic number, because the mean of its divisors is an integer number (4137036839).

Almost surely, 234340141313 is an apocalyptic number.

It is an amenable number.

34340141313 is a deficient number, since it is larger than the sum of its proper divisors (15304300755).

34340141313 is a wasteful number, since it uses less digits than its factorization.

34340141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231984 (or 3231981 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34340141313 its reverse (31314104343), we get a palindrome (65654245656).

The spelling of 34340141313 in words is "thirty-four billion, three hundred forty million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 9 1181 3543 10629 3230797 9692391 29077173 3815571257 11446713771 34340141313