Search a number
-
+
12431043144 = 233213175691373
BaseRepresentation
bin10111001001111001…
…01010101001001000
31012002100012102101100
423210330222221020
5200424321340034
65413304221400
7620024060202
oct134474525110
935070172340
1012431043144
1152a9aaa783
1224ab16a860
131231554b40
1485cd83772
154cb517099
hex2e4f2aa48

12431043144 has 192 divisors, whose sum is σ = 38485465200. Its totient is φ = 3590995968.

The previous prime is 12431043137. The next prime is 12431043167. The reversal of 12431043144 is 44134013421.

12431043144 is a `hidden beast` number, since 1 + 243 + 104 + 314 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7540838244 + 4890204900 = 86838^2 + 69930^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9053242 + ... + 9054614.

Almost surely, 212431043144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12431043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242732600).

12431043144 is an abundant number, since it is smaller than the sum of its proper divisors (26054422056).

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

12431043144 is a wasteful number, since it uses less digits than its factorization.

12431043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12431043144 its reverse (44134013421), we get a palindrome (56565056565).

The spelling of 12431043144 in words is "twelve billion, four hundred thirty-one million, forty-three thousand, one hundred forty-four".