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4440004404041 is a prime number
BaseRepresentation
bin100000010011100010011…
…1000101010001101001001
3120201110102112121100122002
41000213010320222031021
51040221112111412131
613235413155240345
7635531306506523
oct100470470521511
916643375540562
104440004404041
111461aa480a908
125b86045a90b5
132628c939ba6b
14114c7c4d8a13
157a76495a6cb
hex409c4e2a349

4440004404041 has 2 divisors, whose sum is σ = 4440004404042. Its totient is φ = 4440004404040.

The previous prime is 4440004404029. The next prime is 4440004404071. The reversal of 4440004404041 is 1404044000444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3240705638416 + 1199298765625 = 1800196^2 + 1095125^2 .

It is a cyclic number.

It is not a de Polignac number, because 4440004404041 - 210 = 4440004403017 is a prime.

It is a super-3 number, since 3×44400044040413 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4440004403995 and 4440004404013.

It is not a weakly prime, because it can be changed into another prime (4440004404071) 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, 2220002202020 + 2220002202021.

It is an arithmetic number, because the mean of its divisors is an integer number (2220002202021).

Almost surely, 24440004404041 is an apocalyptic number.

It is an amenable number.

4440004404041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4440004404041 is an equidigital number, since it uses as much as digits as its factorization.

4440004404041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4440004404041 its reverse (1404044000444), we get a palindrome (5844048404485).

The spelling of 4440004404041 in words is "four trillion, four hundred forty billion, four million, four hundred four thousand, forty-one".