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36014400241 is a prime number
BaseRepresentation
bin100001100010101000…
…000010001011110001
310102221220110002110121
4201202220002023301
51042224141301431
624313401330241
72413320231301
oct414250021361
9112856402417
1036014400241
111430120aa46
126b91196981
13351c433501
141a59125601
15e0bb58611
hex862a022f1

36014400241 has 2 divisors, whose sum is σ = 36014400242. Its totient is φ = 36014400240.

The previous prime is 36014400223. The next prime is 36014400263. The reversal of 36014400241 is 14200441063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26864521216 + 9149879025 = 163904^2 + 95655^2 .

It is a cyclic number.

It is not a de Polignac number, because 36014400241 - 25 = 36014400209 is a prime.

It is not a weakly prime, because it can be changed into another prime (36014407241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18007200120 + 18007200121.

It is an arithmetic number, because the mean of its divisors is an integer number (18007200121).

Almost surely, 236014400241 is an apocalyptic number.

It is an amenable number.

36014400241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36014400241 is an equidigital number, since it uses as much as digits as its factorization.

36014400241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 36014400241 in words is "thirty-six billion, fourteen million, four hundred thousand, two hundred forty-one".