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12132144441 = 34149779561
BaseRepresentation
bin10110100110010000…
…11101010100111001
31011022111202210110000
423103020131110321
5144321312110231
65323505543213
7606434345334
oct132310352471
934274683400
1012132144441
11516630875a
122427044b09
1311b46513c1
148313b961b
154b01746e6
hex2d321d539

12132144441 has 10 divisors (see below), whose sum is σ = 18123327002. Its totient is φ = 8088096240.

The previous prime is 12132144439. The next prime is 12132144449. The reversal of 12132144441 is 14444123121.

12132144441 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 214 + 4 + 441 = 666.

12132144441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7690588416 + 4441556025 = 87696^2 + 66645^2 .

It is not a de Polignac number, because 12132144441 - 21 = 12132144439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12132144449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74889700 + ... + 74889861.

Almost surely, 212132144441 is an apocalyptic number.

It is an amenable number.

12132144441 is a deficient number, since it is larger than the sum of its proper divisors (5991182561).

12132144441 is an equidigital number, since it uses as much as digits as its factorization.

12132144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149779573 (or 149779564 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12132144441 its reverse (14444123121), we get a palindrome (26576267562).

The spelling of 12132144441 in words is "twelve billion, one hundred thirty-two million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 149779561 449338683 1348016049 4044048147 12132144441