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1144311040993 is a prime number
BaseRepresentation
bin10000101001101110010…
…000001100101111100001
311001101200000002212201011
4100221232100030233201
5122222022111302433
62233404512540521
7145450044234661
oct20515620145741
94041600085634
101144311040993
11401332828a2a
12165937551741
1383ba6044663
143d5564341a1
151eb75b9d3cd
hex10a6e40cbe1

1144311040993 has 2 divisors, whose sum is σ = 1144311040994. Its totient is φ = 1144311040992.

The previous prime is 1144311040991. The next prime is 1144311041033. The reversal of 1144311040993 is 3990401134411.

It is an a-pointer prime, because the next prime (1144311041033) can be obtained adding 1144311040993 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1103104882944 + 41206158049 = 1050288^2 + 202993^2 .

It is a cyclic number.

It is not a de Polignac number, because 1144311040993 - 21 = 1144311040991 is a prime.

Together with 1144311040991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1144311040991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 572155520496 + 572155520497.

It is an arithmetic number, because the mean of its divisors is an integer number (572155520497).

Almost surely, 21144311040993 is an apocalyptic number.

It is an amenable number.

1144311040993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1144311040993 is an equidigital number, since it uses as much as digits as its factorization.

1144311040993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 1144311040993 in words is "one trillion, one hundred forty-four billion, three hundred eleven million, forty thousand, nine hundred ninety-three".