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2414243329 is a prime number
BaseRepresentation
bin1000111111100110…
…0110111000000001
320020020211021020121
42033321212320001
514421021241304
61035321340241
7113553505201
oct21771467001
96206737217
102414243329
111029860823
12574637681
132c6234a64
1418c8ca401
15e1e3b554
hex8fe66e01

2414243329 has 2 divisors, whose sum is σ = 2414243330. Its totient is φ = 2414243328.

The previous prime is 2414243297. The next prime is 2414243339. The reversal of 2414243329 is 9233424142.

2414243329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1638063729 + 776179600 = 40473^2 + 27860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2414243329 - 25 = 2414243297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2414243294 and 2414243303.

It is not a weakly prime, because it can be changed into another prime (2414243339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207121664 + 1207121665.

It is an arithmetic number, because the mean of its divisors is an integer number (1207121665).

Almost surely, 22414243329 is an apocalyptic number.

It is an amenable number.

2414243329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414243329 is an equidigital number, since it uses as much as digits as its factorization.

2414243329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 34.

The square root of 2414243329 is about 49134.9501780555. The cubic root of 2414243329 is about 1341.5092760724.

The spelling of 2414243329 in words is "two billion, four hundred fourteen million, two hundred forty-three thousand, three hundred twenty-nine".