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242314141 = 17411991747
BaseRepresentation
bin11100111000101…
…10101110011101
3121212221211111211
432130112232131
5444013023031
640013344421
76001431136
oct1634265635
9555854454
10242314141
11114864223
1269198111
133b281264
1424278c8d
1516416bb1
hexe716b9d

242314141 has 16 divisors (see below), whose sum is σ = 264297600. Its totient is φ = 221253120.

The previous prime is 242314139. The next prime is 242314151. The reversal of 242314141 is 141413242.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 242314141 - 21 = 242314139 is a prime.

It is a super-2 number, since 2×2423141412 = 117432285857135762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242314151) 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 15 ways as a sum of consecutive naturals, for example, 137830 + ... + 139576.

It is an arithmetic number, because the mean of its divisors is an integer number (16518600).

Almost surely, 2242314141 is an apocalyptic number.

It is an amenable number.

242314141 is a deficient number, since it is larger than the sum of its proper divisors (21983459).

242314141 is a wasteful number, since it uses less digits than its factorization.

242314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004.

The product of its digits is 768, while the sum is 22.

The square root of 242314141 is about 15566.4427856849. The cubic root of 242314141 is about 623.4374973118.

Adding to 242314141 its reverse (141413242), we get a palindrome (383727383).

The spelling of 242314141 in words is "two hundred forty-two million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 17 41 199 697 1747 3383 8159 29699 71627 138703 347653 1217659 5910101 14253773 242314141