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234111265142832 = 2432711231735306341
BaseRepresentation
bin110101001110110001000110…
…110010111111100000110000
31010200220211002121000102001200
4311032301012302333200300
5221141134332334032312
62145525121440531200
7100211660252102520
oct6516610662774060
91120824077012050
10234111265142832
11686600369a5670
12223103b9020b00
13a08279cb4597c
1441b508d53d680
151c0eb880230dc
hexd4ec46cbf830

234111265142832 has 480 divisors, whose sum is σ = 857298386820096. Its totient is φ = 57828068812800.

The previous prime is 234111265142831. The next prime is 234111265142837. The reversal of 234111265142832 is 238241562111432.

234111265142832 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 1 + 126 + 514 + 2 + 8 + 3 + 2 = 666.

234111265142832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (234111265142831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41465982 + ... + 46772322.

Almost surely, 2234111265142832 is an apocalyptic number.

234111265142832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234111265142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428649193410048).

234111265142832 is an abundant number, since it is smaller than the sum of its proper divisors (623187121677264).

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

234111265142832 is a wasteful number, since it uses less digits than its factorization.

234111265142832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306569 (or 5306560 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 234111265142832 in words is "two hundred thirty-four trillion, one hundred eleven billion, two hundred sixty-five million, one hundred forty-two thousand, eight hundred thirty-two".