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234012441343401 = 357219653350243
BaseRepresentation
bin110101001101010101000100…
…011100000111010110101001
31010200120101000101121020200000
4311031111010130013112221
5221133024434440442101
62145411455331533213
7100201561306500300
oct6515250434072651
91120511011536600
10234012441343401
11686221344a0456
12222b521915a209
13a076380c16ac6
1441b03967b5437
151c0c3021c2486
hexd4d5447075a9

234012441343401 has 36 divisors (see below), whose sum is σ = 407767710862512. Its totient is φ = 133721395046568.

The previous prime is 234012441343397. The next prime is 234012441343409. The reversal of 234012441343401 is 104343144210432.

234012441343401 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 1 + 244 + 1 + 3 + 4 + 3 + 401 = 666.

It is not a de Polignac number, because 234012441343401 - 22 = 234012441343397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234012441343409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9826663215 + ... + 9826687028.

It is an arithmetic number, because the mean of its divisors is an integer number (11326880857292).

Almost surely, 2234012441343401 is an apocalyptic number.

234012441343401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234012441343401 is a deficient number, since it is larger than the sum of its proper divisors (173755269519111).

234012441343401 is an equidigital number, since it uses as much as digits as its factorization.

234012441343401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653350272 (or 19653350253 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 234012441343401 its reverse (104343144210432), we get a palindrome (338355585553833).

The spelling of 234012441343401 in words is "two hundred thirty-four trillion, twelve billion, four hundred forty-one million, three hundred forty-three thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1701 3969 11907 19653350243 58960050729 137573451701 176880152187 412720355103 530640456561 963014161907 1238161065309 1591921369683 2889042485721 3714483195927 4775764109049 8667127457163 11143449587781 26001382371489 33430348763343 78004147114467 234012441343401