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4142222414 = 2111719593983
BaseRepresentation
bin1111011011100101…
…0100110001001110
3101200200022200220222
43312321110301032
531440402104124
61523010111342
7204435211121
oct36671246116
911620280828
104142222414
1118361a4010
1297727b552
135102294a5
142b41b63b8
151939ba25e
hexf6e54c4e

4142222414 has 64 divisors (see below), whose sum is σ = 7575068160. Its totient is φ = 1674270720.

The previous prime is 4142222411. The next prime is 4142222419.

It is a happy number.

4142222414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142222411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4213367 + ... + 4214349.

It is an arithmetic number, because the mean of its divisors is an integer number (118360440).

Almost surely, 24142222414 is an apocalyptic number.

4142222414 is a deficient number, since it is larger than the sum of its proper divisors (3432845746).

4142222414 is a wasteful number, since it uses less digits than its factorization.

4142222414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625.

The product of its digits is 4096, while the sum is 26.

The square root of 4142222414 is about 64360.0995493326. The cubic root of 4142222414 is about 1605.9960450723.

It can be divided in two parts, 41422 and 22414, that added together give a palindrome (63836).

The spelling of 4142222414 in words is "four billion, one hundred forty-two million, two hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 11 17 19 22 34 38 187 209 323 374 418 593 646 983 1186 1966 3553 6523 7106 10081 10813 11267 13046 16711 18677 20162 21626 22534 33422 37354 110891 123937 183821 191539 205447 221782 247874 317509 367642 383078 410894 582919 635018 1165838 2106929 3492599 4213858 6412109 6985198 9909623 11075461 12824218 19819246 22150922 109005853 121830071 188282837 218011706 243660142 376565674 2071111207 4142222414