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44345131133521 is a prime number
BaseRepresentation
bin10100001010100111001111…
…10010011110101001010001
312211000100112102201212102111
422011103213302132221101
521303022312032233041
6234151512204145321
712224554455222121
oct1205234762365121
9184010472655374
1044345131133521
11131477344a4599
124b82472838241
131b9896032761a
14ad445c7a2c81
1551d7ba578981
hex2854e7c9ea51

44345131133521 has 2 divisors, whose sum is σ = 44345131133522. Its totient is φ = 44345131133520.

The previous prime is 44345131133507. The next prime is 44345131133533. The reversal of 44345131133521 is 12533113154344.

44345131133521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38983539942400 + 5361591191121 = 6243680^2 + 2315511^2 .

It is a cyclic number.

It is not a de Polignac number, because 44345131133521 - 25 = 44345131133489 is a prime.

It is not a weakly prime, because it can be changed into another prime (44345131133581) 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, 22172565566760 + 22172565566761.

It is an arithmetic number, because the mean of its divisors is an integer number (22172565566761).

Almost surely, 244345131133521 is an apocalyptic number.

It is an amenable number.

44345131133521 is a deficient number, since it is larger than the sum of its proper divisors (1).

44345131133521 is an equidigital number, since it uses as much as digits as its factorization.

44345131133521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259200, while the sum is 40.

Adding to 44345131133521 its reverse (12533113154344), we get a palindrome (56878244287865).

The spelling of 44345131133521 in words is "forty-four trillion, three hundred forty-five billion, one hundred thirty-one million, one hundred thirty-three thousand, five hundred twenty-one".