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114085309 = 1324753271
BaseRepresentation
bin1101100110011…
…00110110111101
321221200010121211
412303030312331
5213201212214
615153124421
72553465142
oct663146675
9257603554
10114085309
1159441a88
1232259711
131a835a00
141121a3c9
15a0380c4
hex6cccdbd

114085309 has 24 divisors (see below), whose sum is σ = 129019392. Its totient is φ = 100751040.

The previous prime is 114085271. The next prime is 114085331. The reversal of 114085309 is 903580411.

It is not a de Polignac number, because 114085309 - 211 = 114083261 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 (114085009) 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, 420844 + ... + 421114.

It is an arithmetic number, because the mean of its divisors is an integer number (5375808).

Almost surely, 2114085309 is an apocalyptic number.

It is an amenable number.

114085309 is a deficient number, since it is larger than the sum of its proper divisors (14934083).

114085309 is a wasteful number, since it uses less digits than its factorization.

114085309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 114085309 is about 10681.0724648792. The cubic root of 114085309 is about 485.0016778204.

The spelling of 114085309 in words is "one hundred fourteen million, eighty-five thousand, three hundred nine".

Divisors: 1 13 47 53 169 271 611 689 2491 3523 7943 8957 12737 14363 32383 45799 165581 186719 420979 675061 2152553 2427347 8775793 114085309