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4105344105 = 3253114919751
BaseRepresentation
bin1111010010110010…
…1001010001101001
3101121002221002101200
43310230221101221
531401432002410
61515211434413
7203506564152
oct36454512151
911532832350
104105344105
1118173a5875
12966a55a09
135056b67c5
142ad336929
151906333c0
hexf4b29469

4105344105 has 48 divisors (see below), whose sum is σ = 7395148800. Its totient is φ = 2104560000.

The previous prime is 4105344101. The next prime is 4105344107. The reversal of 4105344105 is 5014435014.

It is a happy number.

4105344105 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 4105344105 - 22 = 4105344101 is a prime.

It is a super-3 number, since 3×41053441053 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4105344101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197980 + ... + 217730.

It is an arithmetic number, because the mean of its divisors is an integer number (154065600).

Almost surely, 24105344105 is an apocalyptic number.

4105344105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4105344105 is a deficient number, since it is larger than the sum of its proper divisors (3289804695).

4105344105 is a wasteful number, since it uses less digits than its factorization.

4105344105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19942 (or 19939 counting only the distinct ones).

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

The square root of 4105344105 is about 64072.9592339858. The cubic root of 4105344105 is about 1601.2157563149.

Adding to 4105344105 its reverse (5014435014), we get a palindrome (9119779119).

Subtracting 4105344105 from its reverse (5014435014), we obtain a palindrome (909090909).

It can be divided in two parts, 41053 and 44105, that added together give a palindrome (85158).

The spelling of 4105344105 in words is "four billion, one hundred five million, three hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 31 45 93 149 155 279 447 465 745 1341 1395 2235 4619 6705 13857 19751 23095 41571 59253 69285 98755 177759 207855 296265 612281 888795 1836843 2942899 3061405 5510529 8828697 9184215 14714495 26486091 27552645 44143485 91229869 132430455 273689607 456149345 821068821 1368448035 4105344105