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114114287 = 7289137191
BaseRepresentation
bin1101100110100…
…11111011101111
321221201121101002
412303103323233
5213203124122
615153510515
72553645500
oct663237357
9257647332
10114114287
1159461831
123227243b
131a845c61
1411226ba7
15a041992
hex6cd3eef

114114287 has 24 divisors (see below), whose sum is σ = 135924480. Its totient is φ = 95504640.

The previous prime is 114114283. The next prime is 114114289. The reversal of 114114287 is 782411411.

It is not a de Polignac number, because 114114287 - 22 = 114114283 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597362 + ... + 597552.

It is an arithmetic number, because the mean of its divisors is an integer number (5663520).

Almost surely, 2114114287 is an apocalyptic number.

114114287 is a deficient number, since it is larger than the sum of its proper divisors (21810193).

114114287 is a wasteful number, since it uses less digits than its factorization.

114114287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its digits is 1792, while the sum is 29.

The square root of 114114287 is about 10682.4288904724. The cubic root of 114114287 is about 485.0427382893.

Adding to 114114287 its reverse (782411411), we get a palindrome (896525698).

The spelling of 114114287 in words is "one hundred fourteen million, one hundred fourteen thousand, two hundred eighty-seven".

Divisors: 1 7 49 89 137 191 623 959 1337 4361 6713 9359 12193 16999 26167 85351 118993 183169 597457 832951 1282183 2328863 16302041 114114287