Search a number
-
+
2429138819 is a prime number
BaseRepresentation
bin1001000011001001…
…1011011110000011
320021021212001000102
42100302123132003
514433324420234
61041012513015
7114124224242
oct22062333603
96237761012
102429138819
111037204a48
1257961b76b
132c934b963
14190886959
15e33cec7e
hex90c9b783

2429138819 has 2 divisors, whose sum is σ = 2429138820. Its totient is φ = 2429138818.

The previous prime is 2429138807. The next prime is 2429138821. The reversal of 2429138819 is 9188319242.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2429138819 is a prime.

It is a super-2 number, since 2×24291388192 = 11801430803945429522, which contains 22 as substring.

Together with 2429138821, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2429138419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1214569409 + 1214569410.

It is an arithmetic number, because the mean of its divisors is an integer number (1214569410).

Almost surely, 22429138819 is an apocalyptic number.

2429138819 is a deficient number, since it is larger than the sum of its proper divisors (1).

2429138819 is an equidigital number, since it uses as much as digits as its factorization.

2429138819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 47.

The square root of 2429138819 is about 49286.2944336455. The cubic root of 2429138819 is about 1344.2625862463.

The spelling of 2429138819 in words is "two billion, four hundred twenty-nine million, one hundred thirty-eight thousand, eight hundred nineteen".