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232411343040 = 263555356393
BaseRepresentation
bin1101100001110011001…
…0111010100011000000
3211012220010221111200000
43120130302322203000
512301434300434130
6254433541400000
722535240551332
oct3303462724300
9735803844600
10232411343040
118a624164a18
1239062109000
1318bbb141b76
14b36a89d452
1560a3b15260
hex361ccba8c0

232411343040 has 336 divisors, whose sum is σ = 844662113568. Its totient is φ = 60805914624.

The previous prime is 232411343011. The next prime is 232411343051. The reversal of 232411343040 is 40343114232.

232411343040 is a `hidden beast` number, since 2 + 324 + 1 + 1 + 34 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232411342995 and 232411343013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4093084 + ... + 4149476.

It is an arithmetic number, because the mean of its divisors is an integer number (2513875338).

Almost surely, 2232411343040 is an apocalyptic number.

232411343040 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 232411343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422331056784).

232411343040 is an abundant number, since it is smaller than the sum of its proper divisors (612250770528).

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

232411343040 is an equidigital number, since it uses as much as digits as its factorization.

232411343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56478 (or 56456 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 232411343040 its reverse (40343114232), we get a palindrome (272754457272).

The spelling of 232411343040 in words is "two hundred thirty-two billion, four hundred eleven million, three hundred forty-three thousand, forty".