Search a number
-
+
40838764493 is a prime number
BaseRepresentation
bin100110000010001011…
…100001011111001101
310220102010100012002002
4212002023201133031
51132114210430433
630432220242045
72644010525222
oct460213413715
9126363305062
1040838764493
111635746623a
127ab89a0325
133b0aa88807
141d95b47949
1510e04699e8
hex9822e17cd

40838764493 has 2 divisors, whose sum is σ = 40838764494. Its totient is φ = 40838764492.

The previous prime is 40838764459. The next prime is 40838764651. The reversal of 40838764493 is 39446783804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33540992164 + 7297772329 = 183142^2 + 85427^2 .

It is a cyclic number.

It is not a de Polignac number, because 40838764493 - 26 = 40838764429 is a prime.

It is a super-3 number, since 3×408387644933 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40838764193) 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, 20419382246 + 20419382247.

It is an arithmetic number, because the mean of its divisors is an integer number (20419382247).

Almost surely, 240838764493 is an apocalyptic number.

It is an amenable number.

40838764493 is a deficient number, since it is larger than the sum of its proper divisors (1).

40838764493 is an equidigital number, since it uses as much as digits as its factorization.

40838764493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13934592, while the sum is 56.

The spelling of 40838764493 in words is "forty billion, eight hundred thirty-eight million, seven hundred sixty-four thousand, four hundred ninety-three".