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131415444 = 22323650429
BaseRepresentation
bin1111101010100…
…11110110010100
3100011021121002200
413311103312110
5232120243234
621012404500
73154004256
oct765236624
9304247080
10131415444
11681a9406
1238016730
13212c2b24
141364bcd6
15b80cd99
hex7d53d94

131415444 has 18 divisors (see below), whose sum is σ = 332189130. Its totient is φ = 43805136.

The previous prime is 131415413. The next prime is 131415463. The reversal of 131415444 is 444514131.

It can be written as a sum of positive squares in only one way, i.e., 116899344 + 14516100 = 10812^2 + 3810^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1825179 + ... + 1825250.

Almost surely, 2131415444 is an apocalyptic number.

It is an amenable number.

131415444 is an abundant number, since it is smaller than the sum of its proper divisors (200773686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131415444 is a wasteful number, since it uses less digits than its factorization.

131415444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650439 (or 3650434 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 131415444 is about 11463.6575315211. The cubic root of 131415444 is about 508.4116210398.

Adding to 131415444 its reverse (444514131), we get a palindrome (575929575).

The spelling of 131415444 in words is "one hundred thirty-one million, four hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3650429 7300858 10951287 14601716 21902574 32853861 43805148 65707722 131415444