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233343141343332 = 22347413728974013
BaseRepresentation
bin110101000011100101101111…
…000011001111000001100100
31010121012101102201120102200120
4311003211233003033001210
5221041043223140441312
62144140205334041540
7100102325366403606
oct6503455703170144
91117171381512616
10233343141343332
11683942a8055129
1222207569aa92b0
13a028218b812c7
144189c22893176
151be9bcd41628c
hexd4396f0cf064

233343141343332 has 24 divisors (see below), whose sum is σ = 556051741074816. Its totient is φ = 76126131218208.

The previous prime is 233343141343283. The next prime is 233343141343363.

It is a happy number.

233343141343332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2333431413433322 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206864486443 + ... + 206864487570.

It is an arithmetic number, because the mean of its divisors is an integer number (23168822544784).

Almost surely, 2233343141343332 is an apocalyptic number.

It is an amenable number.

233343141343332 is an abundant number, since it is smaller than the sum of its proper divisors (322708599731484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233343141343332 is a wasteful number, since it uses less digits than its factorization.

233343141343332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413728974067 (or 413728974065 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 42.

The spelling of 233343141343332 in words is "two hundred thirty-three trillion, three hundred forty-three billion, one hundred forty-one million, three hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 413728974013 827457948026 1241186922039 1654915896052 2482373844078 4964747688156 19445261778611 38890523557222 58335785335833 77781047114444 116671570671666 233343141343332