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1014466310441 is a prime number
BaseRepresentation
bin11101100001100101110…
…01110111000100101001
310120222111220100010201122
432300302321313010221
5113110111333413231
62054012301425025
7133202264235143
oct16606271670451
93528456303648
101014466310441
11361261870061
1214473a86b175
137488239534c
1437159825c93
151b5c67aa77b
hexec32e77129

1014466310441 has 2 divisors, whose sum is σ = 1014466310442. Its totient is φ = 1014466310440.

The previous prime is 1014466310437. The next prime is 1014466310443. The reversal of 1014466310441 is 1440136644101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 973815686041 + 40650624400 = 986821^2 + 201620^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014466310441 - 22 = 1014466310437 is a prime.

It is a super-2 number, since 2×10144663104412 (a number of 25 digits) contains 22 as substring.

Together with 1014466310443, 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 (1014466310443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507233155220 + 507233155221.

It is an arithmetic number, because the mean of its divisors is an integer number (507233155221).

Almost surely, 21014466310441 is an apocalyptic number.

It is an amenable number.

1014466310441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014466310441 is an equidigital number, since it uses as much as digits as its factorization.

1014466310441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 1014466310441 in words is "one trillion, fourteen billion, four hundred sixty-six million, three hundred ten thousand, four hundred forty-one".