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40444341352133 is a prime number
BaseRepresentation
bin10010011001000101011101…
…00110010111011011000101
312022012102220200120110100112
421030202232212113123011
520300120002341232013
6222003512433322405
711343002324160605
oct1114425646273305
9168172820513315
1040444341352133
1111983392347634
124652474106405
131974b67525974
149db733658c05
154a20b42edba8
hex24c8ae9976c5

40444341352133 has 2 divisors, whose sum is σ = 40444341352134. Its totient is φ = 40444341352132.

The previous prime is 40444341352117. The next prime is 40444341352153. The reversal of 40444341352133 is 33125314344404.

40444341352133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39881334237889 + 563007114244 = 6315167^2 + 750338^2 .

It is a cyclic number.

It is not a de Polignac number, because 40444341352133 - 24 = 40444341352117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40444341352153) 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, 20222170676066 + 20222170676067.

It is an arithmetic number, because the mean of its divisors is an integer number (20222170676067).

Almost surely, 240444341352133 is an apocalyptic number.

It is an amenable number.

40444341352133 is a deficient number, since it is larger than the sum of its proper divisors (1).

40444341352133 is an equidigital number, since it uses as much as digits as its factorization.

40444341352133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 41.

Adding to 40444341352133 its reverse (33125314344404), we get a palindrome (73569655696537).

The spelling of 40444341352133 in words is "forty trillion, four hundred forty-four billion, three hundred forty-one million, three hundred fifty-two thousand, one hundred thirty-three".