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10144761401 is a prime number
BaseRepresentation
bin10010111001010110…
…01100011000111001
3222012000011021102202
421130223030120321
5131234024331101
64354353235545
7506253022565
oct113453143071
928160137382
1010144761401
1143364a9435
121b71562bb5
13c589a3ac8
146c34866a5
153e595536b
hex25cacc639

10144761401 has 2 divisors, whose sum is σ = 10144761402. Its totient is φ = 10144761400.

The previous prime is 10144761391. The next prime is 10144761413. The reversal of 10144761401 is 10416744101.

10144761401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10130623801 + 14137600 = 100651^2 + 3760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10144761401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10144761481) 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 as a sum of consecutive naturals, namely, 5072380700 + 5072380701.

It is an arithmetic number, because the mean of its divisors is an integer number (5072380701).

Almost surely, 210144761401 is an apocalyptic number.

It is an amenable number.

10144761401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144761401 is an equidigital number, since it uses as much as digits as its factorization.

10144761401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 10144761401 in words is "ten billion, one hundred forty-four million, seven hundred sixty-one thousand, four hundred one".