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234142041 = 3726592417
BaseRepresentation
bin11011111010010…
…11100101011001
3121022120122111110
431331023211121
5434420021131
635122250533
75542113600
oct1575134531
9538518443
10234142041
11110192421
12664b6a49
133967c6b3
142314ca37
1515850646
hexdf4b959

234142041 has 24 divisors (see below), whose sum is σ = 363860640. Its totient is φ = 133537152.

The previous prime is 234142033. The next prime is 234142057. The reversal of 234142041 is 140241432.

It is not a de Polignac number, because 234142041 - 23 = 234142033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 234141999 and 234142017.

It is not an unprimeable number, because it can be changed into a prime (234142081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 95665 + ... + 98081.

It is an arithmetic number, because the mean of its divisors is an integer number (15160860).

Almost surely, 2234142041 is an apocalyptic number.

234142041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234142041 is a deficient number, since it is larger than the sum of its proper divisors (129718599).

234142041 is a wasteful number, since it uses less digits than its factorization.

234142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 234142041 is about 15301.7005917643. The cubic root of 234142041 is about 616.3486748473.

Adding to 234142041 its reverse (140241432), we get a palindrome (374383473).

The spelling of 234142041 in words is "two hundred thirty-four million, one hundred forty-two thousand, forty-one".

Divisors: 1 3 7 21 49 147 659 1977 2417 4613 7251 13839 16919 32291 50757 96873 118433 355299 1592803 4778409 11149621 33448863 78047347 234142041