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44042040114133 is a prime number
BaseRepresentation
bin10100000001110010101100…
…01001111111101111010101
312202221101012111111210012211
422000321112021333233111
521233041044232123013
6233400344531513421
712163634545114225
oct1200712611775725
9182841174453184
1044042040114133
111304014051a716
124b33786158871
131b761b9cc6579
14ac3908d24085
1551597b84723d
hex280e5627fbd5

44042040114133 has 2 divisors, whose sum is σ = 44042040114134. Its totient is φ = 44042040114132.

The previous prime is 44042040114097. The next prime is 44042040114143. The reversal of 44042040114133 is 33141104024044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40019199601329 + 4022840512804 = 6326073^2 + 2005702^2 .

It is a cyclic number.

It is not a de Polignac number, because 44042040114133 - 233 = 44033450179541 is a prime.

It is a super-3 number, since 3×440420401141333 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44042040114095 and 44042040114104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (44042040114143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22021020057066 + 22021020057067.

It is an arithmetic number, because the mean of its divisors is an integer number (22021020057067).

Almost surely, 244042040114133 is an apocalyptic number.

It is an amenable number.

44042040114133 is a deficient number, since it is larger than the sum of its proper divisors (1).

44042040114133 is an equidigital number, since it uses as much as digits as its factorization.

44042040114133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 44042040114133 its reverse (33141104024044), we get a palindrome (77183144138177).

The spelling of 44042040114133 in words is "forty-four trillion, forty-two billion, forty million, one hundred fourteen thousand, one hundred thirty-three".