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4142114 = 21925737
BaseRepresentation
bin1111110011010000100010
321210102220122
433303100202
52030021424
6224440242
750131064
oct17632042
97712818
104142114
11237a039
121479082
13b20472
1479b734
1556c45e
hex3f3422

4142114 has 12 divisors (see below), whose sum is σ = 6558534. Its totient is φ = 1961712.

The previous prime is 4142087. The next prime is 4142119. The reversal of 4142114 is 4112414.

4142114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4133089 + 9025 = 2033^2 + 95^2 .

It is a super-3 number, since 3×41421143 (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4142092 and 4142101.

It is not an unprimeable number, because it can be changed into a prime (4142119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2147 + ... + 3590.

Almost surely, 24142114 is an apocalyptic number.

4142114 is a deficient number, since it is larger than the sum of its proper divisors (2416420).

4142114 is a wasteful number, since it uses less digits than its factorization.

4142114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5758 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 4142114 is about 2035.2184157972. The cubic root of 4142114 is about 160.5982033755.

Adding to 4142114 its reverse (4112414), we get a palindrome (8254528).

The spelling of 4142114 in words is "four million, one hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 19 38 361 722 5737 11474 109003 218006 2071057 4142114