Search a number
-
+
44312117756701 is a prime number
BaseRepresentation
bin10100001001101001110000…
…00010011100001100011101
312210220012022200020120011111
422010310320002130030131
521302002204121203301
6234124412245022021
712222305405155114
oct1204647002341435
9183805280216144
1044312117756701
11131347332939a3
124b77b9a6b4911
131b957cb876422
14ad2a0a06cc7b
1551c9d7117551
hex284d3809c31d

44312117756701 has 2 divisors, whose sum is σ = 44312117756702. Its totient is φ = 44312117756700.

The previous prime is 44312117756651. The next prime is 44312117756717. The reversal of 44312117756701 is 10765771121344.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40852614476025 + 3459503280676 = 6391605^2 + 1859974^2 .

It is a cyclic number.

It is not a de Polignac number, because 44312117756701 - 243 = 35516024734493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (44312117766701) 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, 22156058878350 + 22156058878351.

It is an arithmetic number, because the mean of its divisors is an integer number (22156058878351).

Almost surely, 244312117756701 is an apocalyptic number.

It is an amenable number.

44312117756701 is a deficient number, since it is larger than the sum of its proper divisors (1).

44312117756701 is an equidigital number, since it uses as much as digits as its factorization.

44312117756701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 44312117756701 in words is "forty-four trillion, three hundred twelve billion, one hundred seventeen million, seven hundred fifty-six thousand, seven hundred one".