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10014400741 is a prime number
BaseRepresentation
bin10010101001110011…
…11010000011100101
3221211220212021020011
421110321322003211
5131002141310431
64333415210221
7503111000422
oct112471720345
927756767204
1010014400741
114279960554
121b35976971
13c37990117
146b0030d49
153d92a4cb1
hex254e7a0e5

10014400741 has 2 divisors, whose sum is σ = 10014400742. Its totient is φ = 10014400740.

The previous prime is 10014400729. The next prime is 10014400801. The reversal of 10014400741 is 14700441001.

It is a happy number.

10014400741 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., 6262348225 + 3752052516 = 79135^2 + 61254^2 .

It is a cyclic number.

It is not a de Polignac number, because 10014400741 - 29 = 10014400229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10014400141) 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, 5007200370 + 5007200371.

It is an arithmetic number, because the mean of its divisors is an integer number (5007200371).

Almost surely, 210014400741 is an apocalyptic number.

It is an amenable number.

10014400741 is a deficient number, since it is larger than the sum of its proper divisors (1).

10014400741 is an equidigital number, since it uses as much as digits as its factorization.

10014400741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 10014400741 its reverse (14700441001), we get a palindrome (24714841742).

The spelling of 10014400741 in words is "ten billion, fourteen million, four hundred thousand, seven hundred forty-one".