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4417361141 = 1710919712101
BaseRepresentation
bin1000001110100101…
…11001010011110101
3102101212001012022012
410013102321103311
533021321024031
62010155214005
7214315643624
oct40722712365
912355035265
104417361141
111967537896
12a33447305
1355523127b
142dc9576bb
151acc17b2b
hex1074b94f5

4417361141 has 16 divisors (see below), whose sum is σ = 4744468080. Its totient is φ = 4098124800.

The previous prime is 4417361111. The next prime is 4417361159. The reversal of 4417361141 is 1411637144.

4417361141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2939266225 + 1478094916 = 54215^2 + 38446^2 .

It is a cyclic number.

It is not a de Polignac number, because 4417361141 - 210 = 4417360117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4417361098 and 4417361107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417361101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 358991 + ... + 371091.

It is an arithmetic number, because the mean of its divisors is an integer number (296529255).

Almost surely, 24417361141 is an apocalyptic number.

It is an amenable number.

4417361141 is a deficient number, since it is larger than the sum of its proper divisors (327106939).

4417361141 is a wasteful number, since it uses less digits than its factorization.

4417361141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424.

The product of its digits is 8064, while the sum is 32.

The square root of 4417361141 is about 66463.2314968209. The cubic root of 4417361141 is about 1640.7949176555.

Adding to 4417361141 its reverse (1411637144), we get a palindrome (5828998285).

The spelling of 4417361141 in words is "four billion, four hundred seventeen million, three hundred sixty-one thousand, one hundred forty-one".

Divisors: 1 17 109 197 1853 3349 12101 21473 205717 365041 1319009 2383897 22423153 40526249 259844773 4417361141