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230413444243299 = 32616717807351779
BaseRepresentation
bin110100011000111101001111…
…011111101101111101100011
31010012211022101002121111202100
4310120331033133231331203
5220200043213211241144
62134014250333421443
766350551642054452
oct6430751737557543
91105738332544670
10230413444243299
116746487a455779
1221a1380433a883
139b74b824707c5
1440c80da8dcb99
151b988b0bb6269
hexd18f4f7edf63

230413444243299 has 48 divisors (see below), whose sum is σ = 343344619537920. Its totient is φ = 148826915455680.

The previous prime is 230413444243289. The next prime is 230413444243309. The reversal of 230413444243299 is 992342444314032.

230413444243299 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 1 + 344 + 4 + 2 + 4 + 3 + 299 = 666.

It is an interprime number because it is at equal distance from previous prime (230413444243289) and next prime (230413444243309).

It is not a de Polignac number, because 230413444243299 - 25 = 230413444243267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230413444243289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654818992 + ... + 655170770.

It is an arithmetic number, because the mean of its divisors is an integer number (7153012907040).

Almost surely, 2230413444243299 is an apocalyptic number.

230413444243299 is a deficient number, since it is larger than the sum of its proper divisors (112931175294621).

230413444243299 is a wasteful number, since it uses less digits than its factorization.

230413444243299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369720 (or 369717 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 230413444243299 in words is "two hundred thirty trillion, four hundred thirteen billion, four hundred forty-four million, two hundred forty-three thousand, two hundred ninety-nine".

Divisors: 1 3 9 61 67 183 201 549 603 4087 12261 17807 36783 53421 160263 351779 1055337 1086227 1193069 3166011 3258681 3579207 9776043 10737621 21458519 23569193 64375557 70707579 72777209 193126671 212122737 218331627 654994881 1437720773 4313162319 6264128653 12939486957 18792385959 56377157877 382111847833 419696619751 1146335543499 1259089859253 3439006630497 3777269577759 25601493804811 76804481414433 230413444243299