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4105322145 = 32592939817
BaseRepresentation
bin1111010010110010…
…0011111010100001
3101121002212222021100
43310230203322201
531401430302040
61515211145013
7203506443141
oct36454437241
911532788240
104105322145
111817390321
12966a45169
135056a9802
142ad32c921
1519062bb30
hexf4b23ea1

4105322145 has 24 divisors (see below), whose sum is σ = 7117382376. Its totient is φ = 2189046528.

The previous prime is 4105322119. The next prime is 4105322189. The reversal of 4105322145 is 5412235014.

4105322145 is a `hidden beast` number, since 410 + 5 + 32 + 214 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 686230416 + 3419091729 = 26196^2 + 58473^2 .

It is not a de Polignac number, because 4105322145 - 27 = 4105322017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413277 + ... + 423093.

It is an arithmetic number, because the mean of its divisors is an integer number (296557599).

Almost surely, 24105322145 is an apocalyptic number.

4105322145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4105322145 is a deficient number, since it is larger than the sum of its proper divisors (3012060231).

4105322145 is a wasteful number, since it uses less digits than its factorization.

4105322145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19121 (or 19118 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4105322145 is about 64072.7878666131. The cubic root of 4105322145 is about 1601.2129012753.

Adding to 4105322145 its reverse (5412235014), we get a palindrome (9517557159).

The spelling of 4105322145 in words is "four billion, one hundred five million, three hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 9293 9817 27879 29451 46465 49085 83637 88353 139395 147255 418185 441765 91229381 273688143 456146905 821064429 1368440715 4105322145