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131414444 = 2274799859
BaseRepresentation
bin1111101010100…
…11100110101100
3100011021112201122
413311103212230
5232120230234
621012400112
73154001330
oct765234654
9304245648
10131414444
11681a8687
1238016038
13212c2535
141364b7c0
15b80c92e
hex7d539ac

131414444 has 24 divisors (see below), whose sum is σ = 268423680. Its totient is φ = 55121616.

The previous prime is 131414429. The next prime is 131414447. The reversal of 131414444 is 444414131.

It is not an unprimeable number, because it can be changed into a prime (131414447) 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, 48614 + ... + 51245.

It is an arithmetic number, because the mean of its divisors is an integer number (11184320).

Almost surely, 2131414444 is an apocalyptic number.

131414444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131414444 is an abundant number, since it is smaller than the sum of its proper divisors (137009236).

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

131414444 is a wasteful number, since it uses less digits than its factorization.

131414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99917 (or 99915 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 131414444 is about 11463.6139153410. The cubic root of 131414444 is about 508.4103314580.

Adding to 131414444 its reverse (444414131), we get a palindrome (575828575).

The spelling of 131414444 in words is "one hundred thirty-one million, four hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 99859 199718 399436 699013 1398026 2796052 4693373 9386746 18773492 32853611 65707222 131414444