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40957005157 is a prime number
BaseRepresentation
bin100110001001001110…
…100100110101100101
310220201100211102202221
4212021032210311211
51132334443131112
630452042432341
72646644541205
oct461116446545
9126640742687
1040957005157
11164081861a2
127b305026b1
133b294179c3
141da7726405
1510eaa23e07
hex9893a4d65

40957005157 has 2 divisors, whose sum is σ = 40957005158. Its totient is φ = 40957005156.

The previous prime is 40957005151. The next prime is 40957005191. The reversal of 40957005157 is 75150075904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38913874756 + 2043130401 = 197266^2 + 45201^2 .

It is a cyclic number.

It is not a de Polignac number, because 40957005157 - 223 = 40948616549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40957005151) 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, 20478502578 + 20478502579.

It is an arithmetic number, because the mean of its divisors is an integer number (20478502579).

Almost surely, 240957005157 is an apocalyptic number.

It is an amenable number.

40957005157 is a deficient number, since it is larger than the sum of its proper divisors (1).

40957005157 is an equidigital number, since it uses as much as digits as its factorization.

40957005157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 220500, while the sum is 43.

The spelling of 40957005157 in words is "forty billion, nine hundred fifty-seven million, five thousand, one hundred fifty-seven".