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234522402011040 = 253511137194752019
BaseRepresentation
bin110101010100110000000000…
…011101101011011110100000
31010202101010022102120022011210
4311110300000131223132200
5221214403334403323130
62150442034254510120
7100253453514604203
oct6524600035533640
91122333272508153
10234522402011040
11687a9434a48980
1222378019b05340
13a0b24a1860350
1441cad3283d93a
151c1a6ec4e45b0
hexd54c0076b7a0

234522402011040 has 384 divisors, whose sum is σ = 869104160870400. Its totient is φ = 52407535472640.

The previous prime is 234522402010979. The next prime is 234522402011063. The reversal of 234522402011040 is 40110204225432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234522402010989 and 234522402011007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46976151 + ... + 51728169.

It is an arithmetic number, because the mean of its divisors is an integer number (2263292085600).

Almost surely, 2234522402011040 is an apocalyptic number.

234522402011040 is a gapful number since it is divisible by the number (20) 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 234522402011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434552080435200).

234522402011040 is an abundant number, since it is smaller than the sum of its proper divisors (634581758859360).

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

234522402011040 is a wasteful number, since it uses less digits than its factorization.

234522402011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752780 (or 4752772 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 234522402011040 its reverse (40110204225432), we get a palindrome (274632606236472).

The spelling of 234522402011040 in words is "two hundred thirty-four trillion, five hundred twenty-two billion, four hundred two million, eleven thousand, forty".