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40442040114097 is a prime number
BaseRepresentation
bin10010011001000001001010…
…11011110101101110110001
312022012012222022101110020011
421030200211123311232301
520300100244232122342
6222002452230014521
711342561312032036
oct1114404533655661
9168165868343204
1040442040114097
1111982411360416
124651b314a7441
13197488b83915b
149db595b8738d
154a1ecc285717
hex24c8256f5bb1

40442040114097 has 2 divisors, whose sum is σ = 40442040114098. Its totient is φ = 40442040114096.

The previous prime is 40442040114089. The next prime is 40442040114241. The reversal of 40442040114097 is 79041104024404.

40442040114097 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., 36822092470641 + 3619947643456 = 6068121^2 + 1902616^2 .

It is a cyclic number.

It is not a de Polignac number, because 40442040114097 - 23 = 40442040114089 is a prime.

It is not a weakly prime, because it can be changed into another prime (40442040111097) 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, 20221020057048 + 20221020057049.

It is an arithmetic number, because the mean of its divisors is an integer number (20221020057049).

Almost surely, 240442040114097 is an apocalyptic number.

It is an amenable number.

40442040114097 is a deficient number, since it is larger than the sum of its proper divisors (1).

40442040114097 is an equidigital number, since it uses as much as digits as its factorization.

40442040114097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 40442040114097 in words is "forty trillion, four hundred forty-two billion, forty million, one hundred fourteen thousand, ninety-seven".