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233412544141 = 728361992717
BaseRepresentation
bin1101100101100001111…
…0001100011010001101
3211022110220212210101021
43121120132030122031
512311012102403031
6255121144514141
722602115614100
oct3313036143215
9738426783337
10233412544141
118aa98329147
12392a147b951
131901a6ac95a
14b423840737
156111982511
hex365878c68d

233412544141 has 24 divisors (see below), whose sum is σ = 275238946080. Its totient is φ = 197335992672.

The previous prime is 233412544139. The next prime is 233412544163. The reversal of 233412544141 is 141445214332.

233412544141 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 233412544141 - 21 = 233412544139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233412544097 and 233412544106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233412544741) 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, 2471115 + ... + 2563831.

It is an arithmetic number, because the mean of its divisors is an integer number (11468289420).

Almost surely, 2233412544141 is an apocalyptic number.

It is an amenable number.

233412544141 is a deficient number, since it is larger than the sum of its proper divisors (41826401939).

233412544141 is an equidigital number, since it uses as much as digits as its factorization.

233412544141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93433 (or 93426 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

Adding to 233412544141 its reverse (141445214332), we get a palindrome (374857758473).

The spelling of 233412544141 in words is "two hundred thirty-three billion, four hundred twelve million, five hundred forty-four thousand, one hundred forty-one".

Divisors: 1 7 49 83 581 619 4067 4333 30331 51377 92717 359639 649019 2517473 4543133 7695511 53868577 57391823 377080039 401742761 2812199327 4763521309 33344649163 233412544141