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242434444401 = 3249315462819
BaseRepresentation
bin1110000111001000111…
…0000000110001110001
3212011202200011210220100
43201302032000301301
512433001204210101
6303212311303013
723341515530232
oct3416216006161
9764680153810
10242434444401
11938a7a18366
123ab9a97aa69
1319b2785a286
14ba3bb17089
15648da37e86
hex3872380c71

242434444401 has 12 divisors (see below), whose sum is σ = 350254167120. Its totient is φ = 161590156440.

The previous prime is 242434444387. The next prime is 242434444403. The reversal of 242434444401 is 104444434242.

It is a happy number.

242434444401 is a `hidden beast` number, since 2 + 4 + 243 + 4 + 4 + 4 + 4 + 401 = 666.

It is a de Polignac number, because none of the positive numbers 2k-242434444401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242434444403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2687031 + ... + 2775788.

It is an arithmetic number, because the mean of its divisors is an integer number (29187847260).

Almost surely, 2242434444401 is an apocalyptic number.

It is an amenable number.

242434444401 is a deficient number, since it is larger than the sum of its proper divisors (107819722719).

242434444401 is a wasteful number, since it uses less digits than its factorization.

242434444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467756 (or 5467753 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 242434444401 its reverse (104444434242), we get a palindrome (346878878643).

It can be divided in two parts, 24243 and 4444401, that added together give a palindrome (4468644).

The spelling of 242434444401 in words is "two hundred forty-two billion, four hundred thirty-four million, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 4931 14793 44379 5462819 16388457 49165371 26937160489 80811481467 242434444401