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233024042045 = 5733531808561
BaseRepresentation
bin1101100100000101010…
…0001011010000111101
3211021110211211211200202
43121001110023100331
512304213123321140
6255014425533245
722556360450654
oct3310124132075
9737424754622
10233024042045
118a908aa6833
12391b3344225
1318c88065962
14b3c7dd019b
1560dc7e0915
hex364150b43d

233024042045 has 16 divisors (see below), whose sum is σ = 284262540912. Its totient is φ = 183344578560.

The previous prime is 233024042029. The next prime is 233024042087. The reversal of 233024042045 is 540240420332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24264604441 + 208759437604 = 155771^2 + 456902^2 .

It is not a de Polignac number, because 233024042045 - 24 = 233024042029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233024041999 and 233024042017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775436 + ... + 1033125.

It is an arithmetic number, because the mean of its divisors is an integer number (17766408807).

Almost surely, 2233024042045 is an apocalyptic number.

It is an amenable number.

233024042045 is a deficient number, since it is larger than the sum of its proper divisors (51238498867).

233024042045 is a wasteful number, since it uses less digits than its factorization.

233024042045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808992.

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 233024042045 its reverse (540240420332), we get a palindrome (773264462377).

The spelling of 233024042045 in words is "two hundred thirty-three billion, twenty-four million, forty-two thousand, forty-five".

Divisors: 1 5 73 353 365 1765 25769 128845 1808561 9042805 132024953 638422033 660124765 3192110165 46604808409 233024042045