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230243634441 = 32412050730427
BaseRepresentation
bin1101011001101110010…
…1110000110100001001
3211000022002000111111100
43112123211300310021
512233014332300231
6253434504052013
722430436413232
oct3263345606411
9730262014440
10230243634441
1189711590407
1238758164009
1318934008462
14b202a2a089
155ec86761e6
hex359b970d09

230243634441 has 24 divisors (see below), whose sum is σ = 340713513504. Its totient is φ = 149739733440.

The previous prime is 230243634421. The next prime is 230243634479. The reversal of 230243634441 is 144436342032.

230243634441 is a `hidden beast` number, since 2 + 30 + 243 + 6 + 344 + 41 = 666.

230243634441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230243634441 - 25 = 230243634409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230243634396 and 230243634405.

It is not an unprimeable number, because it can be changed into a prime (230243634421) 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 23 ways as a sum of consecutive naturals, for example, 7551870 + ... + 7582296.

It is an arithmetic number, because the mean of its divisors is an integer number (14196396396).

Almost surely, 2230243634441 is an apocalyptic number.

It is an amenable number.

230243634441 is a deficient number, since it is larger than the sum of its proper divisors (110469879063).

230243634441 is a wasteful number, since it uses less digits than its factorization.

230243634441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50981 (or 50978 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 230243634441 its reverse (144436342032), we get a palindrome (374679976473).

The spelling of 230243634441 in words is "two hundred thirty billion, two hundred forty-three million, six hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 369 20507 30427 61521 91281 184563 273843 840787 1247507 2522361 3742521 7567083 11227563 623966489 1871899467 5615698401 25582626049 76747878147 230243634441