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14200416041 = 721181245389
BaseRepresentation
bin11010011100110100…
…10010011100101001
31100122122120212200212
431032122102130221
5213040301303131
610305032110505
71011620354600
oct151632223451
940578525625
1014200416041
116027845829
122903835435
131453cb0656
14989d66a37
15581a20a2b
hex34e692729

14200416041 has 12 divisors (see below), whose sum is σ = 16532905860. Its totient is φ = 12161429280.

The previous prime is 14200415987. The next prime is 14200416101. The reversal of 14200416041 is 14061400241.

It is a happy number.

14200416041 is digitally balanced in base 2, 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 2 ways, for example, as 12344098816 + 1856317225 = 111104^2 + 43085^2 .

It is not a de Polignac number, because 14200416041 - 210 = 14200415017 is a prime.

It is a super-2 number, since 2×142004160412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14200415998 and 14200416016.

It is not an unprimeable number, because it can be changed into a prime (14200416941) 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 11 ways as a sum of consecutive naturals, for example, 64826 + ... + 180563.

It is an arithmetic number, because the mean of its divisors is an integer number (1377742155).

Almost surely, 214200416041 is an apocalyptic number.

It is an amenable number.

14200416041 is a deficient number, since it is larger than the sum of its proper divisors (2332489819).

14200416041 is a wasteful number, since it uses less digits than its factorization.

14200416041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246584 (or 246577 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14200416041 its reverse (14061400241), we get a palindrome (28261816282).

The spelling of 14200416041 in words is "fourteen billion, two hundred million, four hundred sixteen thousand, forty-one".

Divisors: 1 7 49 1181 8267 57869 245389 1717723 12024061 289804409 2028630863 14200416041