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123414113232 = 2432857042453
BaseRepresentation
bin111001011110000001…
…1011110101111010000
3102210112221102112101200
41302330003132233100
54010223003110412
6132410132431200
711626213440204
oct1627403365720
9383487375350
10123414113232
114838105aa03
121bb03178500
13b83a612007
145d8a948b04
153324a999dc
hex1cbc0debd0

123414113232 has 30 divisors (see below), whose sum is σ = 345388108962. Its totient is φ = 41138037696.

The previous prime is 123414113231. The next prime is 123414113261. The reversal of 123414113232 is 232311414321.

123414113232 is a `hidden beast` number, since 1 + 2 + 3 + 414 + 1 + 13 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96693633936 + 26720479296 = 310956^2 + 163464^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 123414113196 and 123414113205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123414113231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428521083 + ... + 428521370.

Almost surely, 2123414113232 is an apocalyptic number.

123414113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123414113232 is an abundant number, since it is smaller than the sum of its proper divisors (221973995730).

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

123414113232 is a wasteful number, since it uses less digits than its factorization.

123414113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857042467 (or 857042458 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 123414113232 its reverse (232311414321), we get a palindrome (355725527553).

The spelling of 123414113232 in words is "one hundred twenty-three billion, four hundred fourteen million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 857042453 1714084906 2571127359 3428169812 5142254718 6856339624 7713382077 10284509436 13712679248 15426764154 20569018872 30853528308 41138037744 61707056616 123414113232