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166312314 = 232710131303
BaseRepresentation
bin10011110100110…
…11100101111010
3102120221112121100
421322123211322
5320033443224
624300352230
74056426360
oct1172334572
9376845540
10166312314
11859739a3
1247845676
13285c096c
1418133630
15e902ac9
hex9e9b97a

166312314 has 48 divisors (see below), whose sum is σ = 412543872. Its totient is φ = 47434464.

The previous prime is 166312313. The next prime is 166312331. The reversal of 166312314 is 413213661.

166312314 is a `hidden beast` number, since 1 + 6 + 631 + 23 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (166312313) 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, 126987 + ... + 128289.

It is an arithmetic number, because the mean of its divisors is an integer number (8594664).

Almost surely, 2166312314 is an apocalyptic number.

166312314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

166312314 is an abundant number, since it is smaller than the sum of its proper divisors (246231558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166312314 is a wasteful number, since it uses less digits than its factorization.

166312314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2328 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 166312314 is about 12896.2131651117. The cubic root of 166312314 is about 549.9309158408.

Adding to 166312314 its reverse (413213661), we get a palindrome (579525975).

The spelling of 166312314 in words is "one hundred sixty-six million, three hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1013 1303 2026 2606 3039 3909 6078 7091 7818 9117 9121 11727 14182 18234 18242 21273 23454 27363 42546 54726 63819 82089 127638 164178 1319939 2639878 3959817 7919634 9239573 11879451 18479146 23758902 27718719 55437438 83156157 166312314