Search a number
-
+
40036125509 is a prime number
BaseRepresentation
bin100101010010010101…
…101100101101000101
310211100012000220101022
4211102111230231011
51123443222004014
630220425040525
72615063310662
oct452225545505
9124305026338
1040036125509
1115a85392736
127914026145
133a106c06c3
141d1b2d2a69
151094c70a8e
hex95256cb45

40036125509 has 2 divisors, whose sum is σ = 40036125510. Its totient is φ = 40036125508.

The previous prime is 40036125499. The next prime is 40036125511. The reversal of 40036125509 is 90552163004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22447530625 + 17588594884 = 149825^2 + 132622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40036125509 is a prime.

Together with 40036125511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40036122509) 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, 20018062754 + 20018062755.

It is an arithmetic number, because the mean of its divisors is an integer number (20018062755).

Almost surely, 240036125509 is an apocalyptic number.

It is an amenable number.

40036125509 is a deficient number, since it is larger than the sum of its proper divisors (1).

40036125509 is an equidigital number, since it uses as much as digits as its factorization.

40036125509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 40036125509 in words is "forty billion, thirty-six million, one hundred twenty-five thousand, five hundred nine".