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41106111160114 = 27111320532523057
BaseRepresentation
bin10010101100010110000110…
…01001110101111100110010
312101112201001120012212201201
421112023003021311330302
520341440303424110424
6223231515313121414
711441550516552430
oct1126130311657462
9171481046185651
1041106111160114
1112109005130110
12473a78155926a
1319c239c48bbc0
14a21791449d50
154b43e6e61d44
hex2562c3275f32

41106111160114 has 32 divisors (see below), whose sum is σ = 82787132969856. Its totient is φ = 14783416600320.

The previous prime is 41106111160111. The next prime is 41106111160171.

41106111160114 is nontrivially palindromic in base 10.

41106111160114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41106111160111) 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 15 ways as a sum of consecutive naturals, for example, 10266259527 + ... + 10266263530.

It is an arithmetic number, because the mean of its divisors is an integer number (2587097905308).

Almost surely, 241106111160114 is an apocalyptic number.

41106111160114 is an abundant number, since it is smaller than the sum of its proper divisors (41681021809742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41106111160114 is a wasteful number, since it uses less digits than its factorization.

41106111160114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20532523090.

The product of its (nonzero) digits is 576, while the sum is 28.

It can be divided in two parts, 4110611 and 1160114, that added together give a palindrome (5270725).

The spelling of 41106111160114 in words is "forty-one trillion, one hundred six billion, one hundred eleven million, one hundred sixty thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 20532523057 41065046114 143727661399 225857753627 266922799741 287455322798 451715507254 533845599482 1581004275389 1868459598187 2936150797151 3162008550778 3736919196374 5872301594302 20553055580057 41106111160114