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41132344323114 = 23211207739112743
BaseRepresentation
bin10010101101000110111101…
…10001011010110000101010
312101122012202210112122011100
421112203132301122300222
520342403020121314424
6223251534344542230
711443466560013262
oct1126433661326052
9171565683478140
1041132344323114
1112119147063810
124743882a81976
1319c49c032b465
14a22b5d4b67a2
154b4e30020dc9
hex2568dec5ac2a

41132344323114 has 24 divisors (see below), whose sum is σ = 97221904764192. Its totient is φ = 12464346764520.

The previous prime is 41132344323067. The next prime is 41132344323197.

41132344323114 is a `hidden beast` number, since 4 + 1 + 1 + 323 + 4 + 4 + 323 + 1 + 1 + 4 = 666.

41132344323114 is nontrivially palindromic in base 10.

41132344323114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 103869556174 + ... + 103869556569.

It is an arithmetic number, because the mean of its divisors is an integer number (4050912698508).

Almost surely, 241132344323114 is an apocalyptic number.

41132344323114 is an abundant number, since it is smaller than the sum of its proper divisors (56089560441078).

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

41132344323114 is a wasteful number, since it uses less digits than its factorization.

41132344323114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207739112762 (or 207739112759 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 4113234 and 4323114, that added together give a palindrome (8436348).

The spelling of 41132344323114 in words is "forty-one trillion, one hundred thirty-two billion, three hundred forty-four million, three hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 207739112743 415478225486 623217338229 1246434676458 1869652014687 2285130240173 3739304029374 4570260480346 6855390720519 13710781441038 20566172161557 41132344323114