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232404443040 = 253571116993701
BaseRepresentation
bin1101100001110001100…
…0100101111110100000
3211012212122221221122110
43120130120211332200
512301431014134130
6254433133435320
722535125112610
oct3303430457640
9735778857573
10232404443040
118a620281940
123905b93bb40
1318bb9897323
14b3699c4a40
1560a3200ab0
hex361c625fa0

232404443040 has 384 divisors, whose sum is σ = 913499596800. Its totient is φ = 48250368000.

The previous prime is 232404442999. The next prime is 232404443057. The reversal of 232404443040 is 40344404232.

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 = 232404442989 and 232404443007.

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, 62793190 + ... + 62796890.

It is an arithmetic number, because the mean of its divisors is an integer number (2378905200).

Almost surely, 2232404443040 is an apocalyptic number.

232404443040 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 232404443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456749798400).

232404443040 is an abundant number, since it is smaller than the sum of its proper divisors (681095153760).

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

232404443040 is a wasteful number, since it uses less digits than its factorization.

232404443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 232404443040 its reverse (40344404232), we get a palindrome (272748847272).

The spelling of 232404443040 in words is "two hundred thirty-two billion, four hundred four million, four hundred forty-three thousand, forty".