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214412414031 = 32173134477279
BaseRepresentation
bin1100011110101111111…
…0011100110001001111
3202111102202210011202200
43013223332130301033
512003104034222111
6242255534052543
721330224306544
oct3075376346117
9674382704680
10214412414031
1182a28244182
123567a34a153
13172b01c7c0a
14a540270bcb
15589d8be256
hex31ebf9cc4f

214412414031 has 24 divisors (see below), whose sum is σ = 328972625280. Its totient is φ = 134103430656.

The previous prime is 214412414009. The next prime is 214412414039. The reversal of 214412414031 is 130414214412.

214412414031 is a `hidden beast` number, since 2 + 14 + 4 + 1 + 241 + 403 + 1 = 666.

It is not a de Polignac number, because 214412414031 - 213 = 214412405839 is a prime.

It is a super-2 number, since 2×2144124140312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214412413986 and 214412414004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214412414039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190751 + ... + 2286528.

It is an arithmetic number, because the mean of its divisors is an integer number (13707192720).

Almost surely, 2214412414031 is an apocalyptic number.

214412414031 is a deficient number, since it is larger than the sum of its proper divisors (114560211249).

214412414031 is a wasteful number, since it uses less digits than its factorization.

214412414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477615 (or 4477612 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214412414031 its reverse (130414214412), we get a palindrome (344826628443).

The spelling of 214412414031 in words is "two hundred fourteen billion, four hundred twelve million, four hundred fourteen thousand, thirty-one".

Divisors: 1 3 9 17 51 153 313 939 2817 5321 15963 47889 4477279 13431837 40295511 76113743 228341229 685023687 1401388327 4204164981 12612494943 23823601559 71470804677 214412414031