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234533757141 = 3237704305577
BaseRepresentation
bin1101101001101101001…
…1010010000011010101
3211102101001122022110200
43122123103102003111
512320311120212031
6255424320211113
722641652020465
oct3323323220325
9742331568420
10234533757141
1190513212062
1239554a69a99
1319168a79bb8
14b4cc701ba5
15617a1088e6
hex369b4d20d5

234533757141 has 12 divisors (see below), whose sum is σ = 347926955532. Its totient is φ = 152130004416.

The previous prime is 234533757109. The next prime is 234533757149. The reversal of 234533757141 is 141757335432.

234533757141 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 3 + 37 + 571 + 41 = 666.

234533757141 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 170111702916 + 64422054225 = 412446^2 + 253815^2 .

It is not a de Polignac number, because 234533757141 - 25 = 234533757109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234533757149) 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 11 ways as a sum of consecutive naturals, for example, 352152456 + ... + 352153121.

It is an arithmetic number, because the mean of its divisors is an integer number (28993912961).

Almost surely, 2234533757141 is an apocalyptic number.

It is an amenable number.

234533757141 is a deficient number, since it is larger than the sum of its proper divisors (113393198391).

234533757141 is a wasteful number, since it uses less digits than its factorization.

234533757141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704305620 (or 704305617 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 234533757141 in words is "two hundred thirty-four billion, five hundred thirty-three million, seven hundred fifty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 704305577 2112916731 6338750193 26059306349 78177919047 234533757141