Search a number
-
+
4444310031037 is a prime number
BaseRepresentation
bin100000010101100010110…
…0001010100101010111101
3120201212112121101212111121
41000223011201110222331
51040303421331443122
613241404323550541
7636043100650102
oct100530541245275
916655477355447
104444310031037
111463904171128
125b940652b451
1326313440b546
1411516a288aa9
157a917951bc7
hex40ac5854abd

4444310031037 has 2 divisors, whose sum is σ = 4444310031038. Its totient is φ = 4444310031036.

The previous prime is 4444310031023. The next prime is 4444310031047. The reversal of 4444310031037 is 7301300134444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4441783862916 + 2526168121 = 2107554^2 + 50261^2 .

It is a cyclic number.

It is not a de Polignac number, because 4444310031037 - 211 = 4444310028989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4444310030993 and 4444310031011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4444310031047) 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, 2222155015518 + 2222155015519.

It is an arithmetic number, because the mean of its divisors is an integer number (2222155015519).

Almost surely, 24444310031037 is an apocalyptic number.

It is an amenable number.

4444310031037 is a deficient number, since it is larger than the sum of its proper divisors (1).

4444310031037 is an equidigital number, since it uses as much as digits as its factorization.

4444310031037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 4444310031037 in words is "four trillion, four hundred forty-four billion, three hundred ten million, thirty-one thousand, thirty-seven".