Search a number
-
+
131344444 = 227112318541
BaseRepresentation
bin1111101010000…
…10100000111100
3100011010222201001
413311002200330
5232111010234
621011100044
73153260260
oct765024074
9304128631
10131344444
1168160030
1237ba1624
132129970a
14136300a0
15b7e6d14
hex7d4283c

131344444 has 48 divisors (see below), whose sum is σ = 299045376. Its totient is φ = 48945600.

The previous prime is 131344417. The next prime is 131344453. The reversal of 131344444 is 444443131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2187 + ... + 16354.

It is an arithmetic number, because the mean of its divisors is an integer number (6230112).

Almost surely, 2131344444 is an apocalyptic number.

131344444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131344444 is an abundant number, since it is smaller than the sum of its proper divisors (167700932).

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

131344444 is a wasteful number, since it uses less digits than its factorization.

131344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18586 (or 18584 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 131344444 is about 11460.5603702437. The cubic root of 131344444 is about 508.3200444673.

Adding to 131344444 its reverse (444443131), we get a palindrome (575787575).

It can be divided in two parts, 13134 and 4444, that added together give a triangular number (17578 = T187).

The spelling of 131344444 in words is "one hundred thirty-one million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 7084 18541 37082 74164 129787 203951 259574 407902 426443 519148 815804 852886 1427657 1705772 2855314 2985101 4690873 5710628 5970202 9381746 11940404 18763492 32836111 65672222 131344444