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3145885413 = 31128666351
BaseRepresentation
bin1011101110000010…
…0110011011100101
322010020112112111120
42323200212123211
522420321313123
61240055124153
7140646404406
oct27340463345
98106475446
103145885413
111374852300
12739673659
133b19a2678
1421bb3d9ad
151362ae2e3
hexbb8266e5

3145885413 has 12 divisors (see below), whose sum is σ = 4610499264. Its totient is φ = 1906597000.

The previous prime is 3145885409. The next prime is 3145885429.

It is a happy number.

3145885413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3145885413 - 22 = 3145885409 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145885213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4332813 + ... + 4333538.

It is an arithmetic number, because the mean of its divisors is an integer number (384208272).

Almost surely, 23145885413 is an apocalyptic number.

3145885413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3145885413 is a deficient number, since it is larger than the sum of its proper divisors (1464613851).

3145885413 is a wasteful number, since it uses less digits than its factorization.

3145885413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666376 (or 8666365 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 3145885413 is about 56088.1931693293. The cubic root of 3145885413 is about 1465.2586702873.

The spelling of 3145885413 in words is "three billion, one hundred forty-five million, eight hundred eighty-five thousand, four hundred thirteen".

Divisors: 1 3 11 33 121 363 8666351 25999053 95329861 285989583 1048628471 3145885413