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230433101414401 = 1928393151460063
BaseRepresentation
bin110100011001001111100011…
…001001111000000000000001
31010012220012010001001021011111
4310121033203021320000001
5220200403442430230101
62134031301055043321
766352146032212264
oct6431174311700001
91105805101037144
10230433101414401
1167472147408326
1221a1758b510541
139b76995b032b2
1440c9043462cdb
151b991617b3251
hexd193e3278001

230433101414401 has 16 divisors (see below), whose sum is σ = 243421408215040. Its totient is φ = 217530839422800.

The previous prime is 230433101414393. The next prime is 230433101414423. The reversal of 230433101414401 is 104414101334032.

It is a cyclic number.

It is not a de Polignac number, because 230433101414401 - 23 = 230433101414393 is a prime.

It is a super-2 number, since 2×2304331014144012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230433102414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500642896 + ... + 501102958.

It is an arithmetic number, because the mean of its divisors is an integer number (15213838013440).

Almost surely, 2230433101414401 is an apocalyptic number.

It is an amenable number.

230433101414401 is a deficient number, since it is larger than the sum of its proper divisors (12988306800639).

230433101414401 is a wasteful number, since it uses less digits than its factorization.

230433101414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553516.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 230433101414401 its reverse (104414101334032), we get a palindrome (334847202748433).

The spelling of 230433101414401 in words is "two hundred thirty trillion, four hundred thirty-three billion, one hundred one million, four hundred fourteen thousand, four hundred one".

Divisors: 1 19 283 5377 93151 460063 1769869 8741197 26361733 130197829 500872927 2473758751 42855328513 814251241747 12128057969179 230433101414401