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4404444414031 is a prime number
BaseRepresentation
bin100000000010111110101…
…0110000100000001001111
3120121001122022012200211001
41000011331112010001033
51034130300232222111
613211212425241131
7633132144543334
oct100057526040117
916531568180731
104404444414031
111448a07059012
125b173b6331a7
1325c45014a75c
1411326789c98b
1579882b621c1
hex4017d58404f

4404444414031 has 2 divisors, whose sum is σ = 4404444414032. Its totient is φ = 4404444414030.

The previous prime is 4404444414001. The next prime is 4404444414053. The reversal of 4404444414031 is 1304144444044.

It is a happy number.

4404444414031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4404444414031 - 27 = 4404444413903 is a prime.

It is a super-2 number, since 2×44044444140312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4404444414001) 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, 2202222207015 + 2202222207016.

It is an arithmetic number, because the mean of its divisors is an integer number (2202222207016).

Almost surely, 24404444414031 is an apocalyptic number.

4404444414031 is a deficient number, since it is larger than the sum of its proper divisors (1).

4404444414031 is an equidigital number, since it uses as much as digits as its factorization.

4404444414031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 4404444414031 its reverse (1304144444044), we get a palindrome (5708588858075).

The spelling of 4404444414031 in words is "four trillion, four hundred four billion, four hundred forty-four million, four hundred fourteen thousand, thirty-one".