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40017372123013 is a prime number
BaseRepresentation
bin10010001100101010001010…
…10000000000111110000101
312020200121211110122022000221
421012111011100000332011
520221121034230414023
6221035421005104341
711300105533462465
oct1106250520007605
9166617743568027
1040017372123013
11118292aa34922a
1245a3774b580b1
1319438116bb8ac
149c4bcb783ba5
15495e24dec85d
hex246545400f85

40017372123013 has 2 divisors, whose sum is σ = 40017372123014. Its totient is φ = 40017372123012.

The previous prime is 40017372123007. The next prime is 40017372123101. The reversal of 40017372123013 is 31032127371004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37773721637089 + 2243650485924 = 6146033^2 + 1497882^2 .

It is a cyclic number.

It is not a de Polignac number, because 40017372123013 - 29 = 40017372122501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40017372123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40017372123613) 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, 20008686061506 + 20008686061507.

It is an arithmetic number, because the mean of its divisors is an integer number (20008686061507).

Almost surely, 240017372123013 is an apocalyptic number.

It is an amenable number.

40017372123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

40017372123013 is an equidigital number, since it uses as much as digits as its factorization.

40017372123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 34.

Adding to 40017372123013 its reverse (31032127371004), we get a palindrome (71049499494017).

The spelling of 40017372123013 in words is "forty trillion, seventeen billion, three hundred seventy-two million, one hundred twenty-three thousand, thirteen".