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4440004404013 is a prime number
BaseRepresentation
bin100000010011100010011…
…1000101010001100101101
3120201110102112121100121001
41000213010320222030231
51040221112111412023
613235413155240301
7635531306506453
oct100470470521455
916643375540531
104440004404013
111461aa480a892
125b86045a9091
132628c939ba49
14114c7c4d89d3
157a76495a6ad
hex409c4e2a32d

4440004404013 has 2 divisors, whose sum is σ = 4440004404014. Its totient is φ = 4440004404012.

The previous prime is 4440004404007. The next prime is 4440004404019. The reversal of 4440004404013 is 3104044000444.

It is a balanced prime because it is at equal distance from previous prime (4440004404007) and next prime (4440004404019).

It can be written as a sum of positive squares in only one way, i.e., 2437476582564 + 2002527821449 = 1561242^2 + 1415107^2 .

It is a cyclic number.

It is not a de Polignac number, because 4440004404013 - 29 = 4440004403501 is a prime.

It is a super-3 number, since 3×44400044040133 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4440004404019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2220002202006 + 2220002202007.

It is an arithmetic number, because the mean of its divisors is an integer number (2220002202007).

Almost surely, 24440004404013 is an apocalyptic number.

It is an amenable number.

4440004404013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4440004404013 is an equidigital number, since it uses as much as digits as its factorization.

4440004404013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4440004404013 its reverse (3104044000444), we get a palindrome (7544048404457).

The spelling of 4440004404013 in words is "four trillion, four hundred forty billion, four million, four hundred four thousand, thirteen".