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131412444 = 22313678011
BaseRepresentation
bin1111101010100…
…11000111011100
3100011021102222120
413311103013130
5232120144234
621012342540
73153662442
oct765230734
9304242876
10131412444
11681a7129
1238014a50
13212c1657
141364ab92
15b80c049
hex7d531dc

131412444 has 24 divisors (see below), whose sum is σ = 306891648. Its totient is φ = 43766640.

The previous prime is 131412443. The next prime is 131412451. The reversal of 131412444 is 444214131.

131412444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1314124443 (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12399 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (12787152).

Almost surely, 2131412444 is an apocalyptic number.

It is an amenable number.

131412444 is an abundant number, since it is smaller than the sum of its proper divisors (175479204).

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

131412444 is a wasteful number, since it uses less digits than its factorization.

131412444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9385 (or 9383 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 131412444 is about 11463.5266824830. The cubic root of 131412444 is about 508.4077522747.

Adding to 131412444 its reverse (444214131), we get a palindrome (575626575).

The spelling of 131412444 in words is "one hundred thirty-one million, four hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 1367 2734 4101 5468 8011 8202 16022 16404 24033 32044 48066 96132 10951037 21902074 32853111 43804148 65706222 131412444