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230910016144 = 2414431876009
BaseRepresentation
bin1101011100001101001…
…1110011101010010000
3211002000111221012100011
43113003103303222100
512240400431004034
6254024551004304
722453110516103
oct3270323635220
9732014835304
10230910016144
1189a23758895
1238903369694
1318a0c0a6962
14b26733273a
156016e07864
hex35c34f3a90

230910016144 has 10 divisors (see below), whose sum is σ = 447388156310. Its totient is φ = 115455008064.

The previous prime is 230910016097. The next prime is 230910016147. The reversal of 230910016144 is 441610019032.

230910016144 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 only one way, i.e., 227612959744 + 3297056400 = 477088^2 + 57420^2 .

It is not an unprimeable number, because it can be changed into a prime (230910016147) 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 as a sum of consecutive naturals, namely, 7215937989 + ... + 7215938020.

It is an arithmetic number, because the mean of its divisors is an integer number (44738815631).

Almost surely, 2230910016144 is an apocalyptic number.

It is an amenable number.

230910016144 is a deficient number, since it is larger than the sum of its proper divisors (216478140166).

230910016144 is a wasteful number, since it uses less digits than its factorization.

230910016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14431876017 (or 14431876011 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 230910016144 in words is "two hundred thirty billion, nine hundred ten million, sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 14431876009 28863752018 57727504036 115455008072 230910016144