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234001144144 = 2482117813729
BaseRepresentation
bin1101100111101110001…
…1100001100101010000
3211100222221102202210101
43121323203201211100
512313213243103034
6255255412342144
722622523623065
oct3317343414520
9740887382711
10234001144144
119026a600029
1239426614954
13190b2616691
14b47ba9ac6c
15614849c514
hex367b8e1950

234001144144 has 20 divisors (see below), whose sum is σ = 453929467860. Its totient is φ = 116858055680.

The previous prime is 234001144123. The next prime is 234001144151. The reversal of 234001144144 is 441441100432.

234001144144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 174650439744 + 59350704400 = 417912^2 + 243620^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8893729 + ... + 8920000.

It is an arithmetic number, because the mean of its divisors is an integer number (22696473393).

Almost surely, 2234001144144 is an apocalyptic number.

It is an amenable number.

234001144144 is a deficient number, since it is larger than the sum of its proper divisors (219928323716).

234001144144 is a wasteful number, since it uses less digits than its factorization.

234001144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814558 (or 17814552 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 234001144144 its reverse (441441100432), we get a palindrome (675442244576).

The spelling of 234001144144 in words is "two hundred thirty-four billion, one million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 821 1642 3284 6568 13136 17813729 35627458 71254916 142509832 285019664 14625071509 29250143018 58500286036 117000572072 234001144144