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4124134314281 is a prime number
BaseRepresentation
bin111100000000111001100…
…011111001000100101001
3112121021010000022020102202
4330000321203321010221
51020032211341024111
612434333503105545
7603646615161662
oct74007143710451
915537100266382
104124134314281
111350043339253
125673502a22b5
1323bb9a6a08c7
141038757a0369
1572428db7b3b
hex3c0398f9129

4124134314281 has 2 divisors, whose sum is σ = 4124134314282. Its totient is φ = 4124134314280.

The previous prime is 4124134314257. The next prime is 4124134314283. The reversal of 4124134314281 is 1824134314214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3020699616256 + 1103434698025 = 1738016^2 + 1050445^2 .

It is a cyclic number.

It is not a de Polignac number, because 4124134314281 - 226 = 4124067205417 is a prime.

It is a super-2 number, since 2×41241343142812 (a number of 26 digits) contains 22 as substring.

Together with 4124134314283, 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 (4124134314283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2062067157140 + 2062067157141.

It is an arithmetic number, because the mean of its divisors is an integer number (2062067157141).

Almost surely, 24124134314281 is an apocalyptic number.

It is an amenable number.

4124134314281 is a deficient number, since it is larger than the sum of its proper divisors (1).

4124134314281 is an equidigital number, since it uses as much as digits as its factorization.

4124134314281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 73728, while the sum is 38.

Adding to 4124134314281 its reverse (1824134314214), we get a palindrome (5948268628495).

The spelling of 4124134314281 in words is "four trillion, one hundred twenty-four billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred eighty-one".