Search a number
-
+
40066033529 is a prime number
BaseRepresentation
bin100101010100000111…
…110010011101111001
310211102021022101110202
4211110013302131321
51124023401033104
630223414051545
72615605444244
oct452407623571
9124367271422
1040066033529
1115aa0260005
127922049bb5
133a16962862
141d2127a25b
1510976cc51e
hex9541f2779

40066033529 has 2 divisors, whose sum is σ = 40066033530. Its totient is φ = 40066033528.

The previous prime is 40066033523. The next prime is 40066033531. The reversal of 40066033529 is 92533066004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34253495929 + 5812537600 = 185077^2 + 76240^2 .

It is a cyclic number.

It is not a de Polignac number, because 40066033529 - 212 = 40066029433 is a prime.

Together with 40066033531, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40066033492 and 40066033501.

It is not a weakly prime, because it can be changed into another prime (40066033523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20033016764 + 20033016765.

It is an arithmetic number, because the mean of its divisors is an integer number (20033016765).

Almost surely, 240066033529 is an apocalyptic number.

It is an amenable number.

40066033529 is a deficient number, since it is larger than the sum of its proper divisors (1).

40066033529 is an equidigital number, since it uses as much as digits as its factorization.

40066033529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 40066033529 in words is "forty billion, sixty-six million, thirty-three thousand, five hundred twenty-nine".