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12342132144 = 243285709251
BaseRepresentation
bin10110111111010010…
…11111110110110000
31011212010220021102100
423133221133312300
5200234041212034
65400410420400
7614564251356
oct133751376660
934763807370
1012342132144
1152638a2611
122485431700
131218cc4794
1485123b7d6
154c3803099
hex2dfa5fdb0

12342132144 has 30 divisors (see below), whose sum is σ = 34540828556. Its totient is φ = 4114044000.

The previous prime is 12342132113. The next prime is 12342132167. The reversal of 12342132144 is 44123124321.

12342132144 is a `hidden beast` number, since 1 + 23 + 421 + 3 + 214 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42854482 + ... + 42854769.

Almost surely, 212342132144 is an apocalyptic number.

It is an amenable number.

12342132144 is an abundant number, since it is smaller than the sum of its proper divisors (22198696412).

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

12342132144 is a wasteful number, since it uses less digits than its factorization.

12342132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85709265 (or 85709256 counting only the distinct ones).

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

Adding to 12342132144 its reverse (44123124321), we get a palindrome (56465256465).

The spelling of 12342132144 in words is "twelve billion, three hundred forty-two million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85709251 171418502 257127753 342837004 514255506 685674008 771383259 1028511012 1371348016 1542766518 2057022024 3085533036 4114044048 6171066072 12342132144