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1140046400411 is a prime number
BaseRepresentation
bin10000100101110000000…
…011111000101110011011
311000222122210102200121222
4100211300003320232123
5122134303334303121
62231421410522255
7145236261341342
oct20456003705633
94028583380558
101140046400411
113aa544521386
12164b4729638b
13836766556a9
143d26dcb2b59
151e9c65a10ab
hex109700f8b9b

1140046400411 has 2 divisors, whose sum is σ = 1140046400412. Its totient is φ = 1140046400410.

The previous prime is 1140046400369. The next prime is 1140046400461.

1140046400411 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1140046400411 is a prime.

It is not a weakly prime, because it can be changed into another prime (1140046400461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 570023200205 + 570023200206.

It is an arithmetic number, because the mean of its divisors is an integer number (570023200206).

Almost surely, 21140046400411 is an apocalyptic number.

1140046400411 is a deficient number, since it is larger than the sum of its proper divisors (1).

1140046400411 is an equidigital number, since it uses as much as digits as its factorization.

1140046400411 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 1140046400411 in words is "one trillion, one hundred forty billion, forty-six million, four hundred thousand, four hundred eleven".