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3131341407 = 32794404137
BaseRepresentation
bin1011101010100100…
…0111101001011111
322002020011121212200
42322221013221133
522403110411112
61234415302543
7140411651145
oct27251075137
98066147780
103131341407
111367619167
1273481aa53
133ab97c74c
14219c35595
15134d89cdc
hexbaa47a5f

3131341407 has 12 divisors (see below), whose sum is σ = 4580303520. Its totient is φ = 2061135648.

The previous prime is 3131341393. The next prime is 3131341429. The reversal of 3131341407 is 7041431313.

3131341407 is a `hidden beast` number, since 313 + 1 + 341 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 3131341407 - 24 = 3131341391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131341457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201358 + ... + 2202779.

It is an arithmetic number, because the mean of its divisors is an integer number (381691960).

Almost surely, 23131341407 is an apocalyptic number.

3131341407 is a deficient number, since it is larger than the sum of its proper divisors (1448962113).

3131341407 is a wasteful number, since it uses less digits than its factorization.

3131341407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404222 (or 4404219 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3131341407 is about 55958.3899607557. The cubic root of 3131341407 is about 1462.9971282154.

The spelling of 3131341407 in words is "three billion, one hundred thirty-one million, three hundred forty-one thousand, four hundred seven".

Divisors: 1 3 9 79 237 711 4404137 13212411 39637233 347926823 1043780469 3131341407