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42241114442031 = 31063129723094423
BaseRepresentation
bin10011001101011000001101…
…00111110000100100101111
312112120012200220010121100020
421212230012213300210233
521014034300244121111
6225501144452333223
711616551123352531
oct1146540647604457
9175505626117306
1042241114442031
11125063a097396a
1248a273b914213
131a754210698bb
14a606a3635851
154d3bc58e0906
hex266b069f092f

42241114442031 has 32 divisors (see below), whose sum is σ = 56455129758720. Its totient is φ = 28094030959104.

The previous prime is 42241114442003. The next prime is 42241114442053. The reversal of 42241114442031 is 13024441114224.

42241114442031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42241114442031 - 222 = 42241110247727 is a prime.

It is a super-2 number, since 2×422411144420312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42241114441983 and 42241114442001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241114442081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9550328886 + ... + 9550333308.

It is an arithmetic number, because the mean of its divisors is an integer number (1764222804960).

Almost surely, 242241114442031 is an apocalyptic number.

42241114442031 is a deficient number, since it is larger than the sum of its proper divisors (14214015316689).

42241114442031 is a wasteful number, since it uses less digits than its factorization.

42241114442031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 42241114442031 its reverse (13024441114224), we get a palindrome (55265555556255).

The spelling of 42241114442031 in words is "forty-two trillion, two hundred forty-one billion, one hundred fourteen million, four hundred forty-two thousand, thirty-one".

Divisors: 1 3 1063 1297 2309 3189 3891 4423 6927 13269 1378711 2454467 2994773 4136133 4701649 5736631 7363401 8984319 10212707 14104947 17209893 30638121 3183443699 6098038753 9550331097 10856107541 13245880979 18294116259 32568322623 39737642937 14080371480677 42241114442031