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4141145345 = 517411188277
BaseRepresentation
bin1111011011010100…
…1101110100000001
3101200121021222110112
43312311031310001
531440113122340
61522531041105
7204423104021
oct36665156401
911617258415
104141145345
111835628877
12976a40195
1350cc4017c
142b3db5a81
15193856065
hexf6d4dd01

4141145345 has 16 divisors (see below), whose sum is σ = 5390029008. Its totient is φ = 3041986560.

The previous prime is 4141145329. The next prime is 4141145353. The reversal of 4141145345 is 5435411414.

It can be written as a sum of positive squares in 8 ways, for example, as 84474481 + 4056670864 = 9191^2 + 63692^2 .

It is not a de Polignac number, because 4141145345 - 24 = 4141145329 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 590654 + ... + 597623.

It is an arithmetic number, because the mean of its divisors is an integer number (336876813).

Almost surely, 24141145345 is an apocalyptic number.

It is an amenable number.

4141145345 is a deficient number, since it is larger than the sum of its proper divisors (1248883663).

4141145345 is a wasteful number, since it uses less digits than its factorization.

4141145345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188340.

The product of its digits is 19200, while the sum is 32.

The square root of 4141145345 is about 64351.7314840867. The cubic root of 4141145345 is about 1605.8568348989.

Adding to 4141145345 its reverse (5435411414), we get a palindrome (9576556759).

The spelling of 4141145345 in words is "four billion, one hundred forty-one million, one hundred forty-five thousand, three hundred forty-five".

Divisors: 1 5 17 41 85 205 697 3485 1188277 5941385 20200709 48719357 101003545 243596785 828229069 4141145345