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1004440643641 is a prime number
BaseRepresentation
bin11101001110111010101…
…00111110100000111001
310120000122012021111101001
432213131110332200321
5112424043301044031
62045233400525001
7132365655412651
oct16473524764071
93500565244331
101004440643641
11357a87615216
12142801180761
137394528c326
1436888101361
151b1db52c861
hexe9dd53e839

1004440643641 has 2 divisors, whose sum is σ = 1004440643642. Its totient is φ = 1004440643640.

The previous prime is 1004440643593. The next prime is 1004440643663. The reversal of 1004440643641 is 1463460444001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 980298010000 + 24142633641 = 990100^2 + 155379^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004440643641 - 211 = 1004440641593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004440643641.

It is not a weakly prime, because it can be changed into another prime (1004440643671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502220321820 + 502220321821.

It is an arithmetic number, because the mean of its divisors is an integer number (502220321821).

Almost surely, 21004440643641 is an apocalyptic number.

It is an amenable number.

1004440643641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004440643641 is an equidigital number, since it uses as much as digits as its factorization.

1004440643641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 1004440643641 in words is "one trillion, four billion, four hundred forty million, six hundred forty-three thousand, six hundred forty-one".