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181414349 is a prime number
BaseRepresentation
bin10101101000000…
…10100111001101
3110122100210200222
422310002213031
5332420224344
630000201125
74331665544
oct1264024715
9418323628
10181414349
1193449316
12509091a5
132b77a88c
141a14515b
1510dd75ee
hexad029cd

181414349 has 2 divisors, whose sum is σ = 181414350. Its totient is φ = 181414348.

The previous prime is 181414297. The next prime is 181414351. The reversal of 181414349 is 943414181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142038724 + 39375625 = 11918^2 + 6275^2 .

It is a cyclic number.

It is not a de Polignac number, because 181414349 - 212 = 181410253 is a prime.

It is a super-2 number, since 2×1814143492 = 65822332046187602, which contains 22 as substring.

Together with 181414351, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181414369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90707174 + 90707175.

It is an arithmetic number, because the mean of its divisors is an integer number (90707175).

Almost surely, 2181414349 is an apocalyptic number.

It is an amenable number.

181414349 is a deficient number, since it is larger than the sum of its proper divisors (1).

181414349 is an equidigital number, since it uses as much as digits as its factorization.

181414349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 35.

The square root of 181414349 is about 13469.0144034372. The cubic root of 181414349 is about 566.0965979044.

The spelling of 181414349 in words is "one hundred eighty-one million, four hundred fourteen thousand, three hundred forty-nine".