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40320293257 is a prime number
BaseRepresentation
bin100101100011010001…
…101101100110001001
310212001222202010020201
4211203101231212021
51130033443341012
630304535452201
72625113560246
oct454321554611
9125058663221
1040320293257
1116110833112
127993227061
133a575370ba
141d46d445cd
1510aeba3857
hex96346d989

40320293257 has 2 divisors, whose sum is σ = 40320293258. Its totient is φ = 40320293256.

The previous prime is 40320293249. The next prime is 40320293311. The reversal of 40320293257 is 75239202304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24792391936 + 15527901321 = 157456^2 + 124611^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320293257 - 23 = 40320293249 is a prime.

It is not a weakly prime, because it can be changed into another prime (40320293227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20160146628 + 20160146629.

It is an arithmetic number, because the mean of its divisors is an integer number (20160146629).

Almost surely, 240320293257 is an apocalyptic number.

It is an amenable number.

40320293257 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320293257 is an equidigital number, since it uses as much as digits as its factorization.

40320293257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 40320293257 in words is "forty billion, three hundred twenty million, two hundred ninety-three thousand, two hundred fifty-seven".