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414114342111 = 32172732181007
BaseRepresentation
bin1100000011010110010…
…00110110010011011111
31110120220100012020110100
412001223020312103133
523241101232421421
6514124055312143
741630065554321
oct6015310662337
91416810166410
10414114342111
1114a696828548
126831207b653
1330087842a72
1416086921611
15ab8aab5c26
hex606b2364df

414114342111 has 36 divisors (see below), whose sum is σ = 644125816672. Its totient is φ = 256276929024.

The previous prime is 414114342097. The next prime is 414114342143. The reversal of 414114342111 is 111243411414.

414114342111 is a `hidden beast` number, since 4 + 1 + 4 + 11 + 434 + 211 + 1 = 666.

414114342111 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 414114342111 - 211 = 414114340063 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 (414114342011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 900631 + ... + 1280376.

Almost surely, 2414114342111 is an apocalyptic number.

414114342111 is a deficient number, since it is larger than the sum of its proper divisors (230011474561).

414114342111 is a wasteful number, since it uses less digits than its factorization.

414114342111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181120 (or 2181100 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 414114342111 its reverse (111243411414), we get a palindrome (525357753525).

The spelling of 414114342111 in words is "four hundred fourteen billion, one hundred fourteen million, three hundred forty-two thousand, one hundred eleven".

Divisors: 1 3 9 17 51 73 153 219 289 657 867 1241 2601 3723 11169 21097 63291 189873 2181007 6543021 19629063 37077119 111231357 159213511 333694071 477640533 630311023 1432921599 1890933069 2706629687 5672799207 8119889061 24359667183 46012704679 138038114037 414114342111