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414012204214 = 27232311803299
BaseRepresentation
bin1100000011001010000…
…11001110010010110110
31110120122020000002121021
412001211003032102312
523240344111013324
6514110010211354
741624415446230
oct6014503162266
91416566002537
10414012204214
1114a644106864
12682a3a23b5a
133006c63113b
1416077135250
15ab81b3cae4
hex60650ce4b6

414012204214 has 48 divisors (see below), whose sum is σ = 765868723200. Its totient is φ = 164244381840.

The previous prime is 414012204211. The next prime is 414012204269. The reversal of 414012204214 is 412402210414.

It is a happy number.

It is a super-2 number, since 2×4140122042142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414012204211) 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, 672064 + ... + 1131235.

It is an arithmetic number, because the mean of its divisors is an integer number (15955598400).

Almost surely, 2414012204214 is an apocalyptic number.

414012204214 is a deficient number, since it is larger than the sum of its proper divisors (351856518986).

414012204214 is a wasteful number, since it uses less digits than its factorization.

414012204214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803385 (or 1803362 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 414012204214 its reverse (412402210414), we get a palindrome (826414414628).

The spelling of 414012204214 in words is "four hundred fourteen billion, twelve million, two hundred four thousand, two hundred fourteen".

Divisors: 1 2 7 14 23 31 46 62 161 217 322 434 529 713 1058 1426 3703 4991 7406 9982 16399 32798 114793 229586 1803299 3606598 12623093 25246186 41475877 55902269 82951754 111804538 290331139 391315883 580662278 782631766 953945171 1285752187 1907890342 2571504374 6677616197 9000265309 13355232394 18000530618 29572300301 59144600602 207006102107 414012204214