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3140440413 = 311217508903
BaseRepresentation
bin1011101100101111…
…0101000101011101
322002212021220100220
42323023311011131
522412423043123
61235342311553
7140552205645
oct27313650535
98085256326
103140440413
111371773400
127378885b9
133b0817186
1421b123525
15135a85ce3
hexbb2f515d

3140440413 has 24 divisors (see below), whose sum is σ = 4873264704. Its totient is φ = 1791335040.

The previous prime is 3140440409. The next prime is 3140440423.

3140440413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3140440413 - 22 = 3140440409 is a prime.

It is a super-2 number, since 2×31404404132 = 19724731975207221138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140440423) 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 23 ways as a sum of consecutive naturals, for example, 248281 + ... + 260622.

It is an arithmetic number, because the mean of its divisors is an integer number (203052696).

Almost surely, 23140440413 is an apocalyptic number.

3140440413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3140440413 is a deficient number, since it is larger than the sum of its proper divisors (1732824291).

3140440413 is a wasteful number, since it uses less digits than its factorization.

3140440413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508945 (or 508934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3140440413 is about 56039.6325202084. The cubic root of 3140440413 is about 1464.4128097535.

It can be divided in two parts, 31404 and 40413, that added together give a palindrome (71817).

The spelling of 3140440413 in words is "three billion, one hundred forty million, four hundred forty thousand, four hundred thirteen".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 508903 1526709 5597933 8651351 16793799 25954053 61577263 95164861 184731789 285494583 1046813471 3140440413