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114066277 = 1317297313
BaseRepresentation
bin1101100110010…
…00001101100101
321221122011111221
412303020031211
5213200110102
615152500341
72553355513
oct663101545
9257564457
10114066277
1159429756
123224a6b1
131a82a150
14112134b3
15a032637
hex6cc8365

114066277 has 24 divisors (see below), whose sum is σ = 132258056. Its totient is φ = 97763328.

The previous prime is 114066191. The next prime is 114066289. The reversal of 114066277 is 772660411.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 44076321 + 69989956 = 6639^2 + 8366^2 .

It is not a de Polignac number, because 114066277 - 27 = 114066149 is a prime.

It is a super-2 number, since 2×1140662772 = 26022231097281458, 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 (114066377) 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 in 23 ways as a sum of consecutive naturals, for example, 364273 + ... + 364585.

Almost surely, 2114066277 is an apocalyptic number.

114066277 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114066277 is a deficient number, since it is larger than the sum of its proper divisors (18191779).

114066277 is a wasteful number, since it uses less digits than its factorization.

114066277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 114066277 is about 10680.1815059483. The cubic root of 114066277 is about 484.9747065847.

The spelling of 114066277 in words is "one hundred fourteen million, sixty-six thousand, two hundred seventy-seven".

Divisors: 1 13 17 97 221 289 313 1261 1649 3757 4069 5321 21437 28033 30361 69173 90457 364429 394693 516137 1175941 6709781 8774329 114066277