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44074214216801 is a prime number
BaseRepresentation
bin10100000010101110100111…
…11000011101010001100001
312210001110020202202112202222
422001113103320131101201
521234102442314414201
6233423225310320425
712166154054351636
oct1201272370352141
9183043222675688
1044074214216801
1113052850a0520a
124b39a651b9115
131b79246923542
14ac52bbdc818d
1551671127491b
hex2815d3e1d461

44074214216801 has 2 divisors, whose sum is σ = 44074214216802. Its totient is φ = 44074214216800.

The previous prime is 44074214216759. The next prime is 44074214216803. The reversal of 44074214216801 is 10861241247044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34171612231201 + 9902601985600 = 5845649^2 + 3146840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44074214216801 is a prime.

It is a Sophie Germain prime.

Together with 44074214216803, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (44074214216803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22037107108400 + 22037107108401.

It is an arithmetic number, because the mean of its divisors is an integer number (22037107108401).

Almost surely, 244074214216801 is an apocalyptic number.

It is an amenable number.

44074214216801 is a deficient number, since it is larger than the sum of its proper divisors (1).

44074214216801 is an equidigital number, since it uses as much as digits as its factorization.

44074214216801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 44074214216801 in words is "forty-four trillion, seventy-four billion, two hundred fourteen million, two hundred sixteen thousand, eight hundred one".