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40132631126353 is a prime number
BaseRepresentation
bin10010010000000000110110…
…01110001110000101010001
312021002122100001210022202111
421020000123032032011101
520230013112032020403
6221204402021345321
711311326004031263
oct1110003316160521
9167078301708674
1040132631126353
1111873176019397
124601b80b68241
13195164c5bca9c
149ca6031a9b33
15498e1da5d56d
hex24801b38e151

40132631126353 has 2 divisors, whose sum is σ = 40132631126354. Its totient is φ = 40132631126352.

The previous prime is 40132631126351. The next prime is 40132631126369. The reversal of 40132631126353 is 35362113623104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21972018754624 + 18160612371729 = 4687432^2 + 4261527^2 .

It is a cyclic number.

It is not a de Polignac number, because 40132631126353 - 21 = 40132631126351 is a prime.

It is a super-2 number, since 2×401326311263532 (a number of 28 digits) contains 22 as substring.

Together with 40132631126351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (40132631126351) 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, 20066315563176 + 20066315563177.

It is an arithmetic number, because the mean of its divisors is an integer number (20066315563177).

Almost surely, 240132631126353 is an apocalyptic number.

It is an amenable number.

40132631126353 is a deficient number, since it is larger than the sum of its proper divisors (1).

40132631126353 is an equidigital number, since it uses as much as digits as its factorization.

40132631126353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 40.

Adding to 40132631126353 its reverse (35362113623104), we get a palindrome (75494744749457).

The spelling of 40132631126353 in words is "forty trillion, one hundred thirty-two billion, six hundred thirty-one million, one hundred twenty-six thousand, three hundred fifty-three".