Search a number
-
+
40162351868813 is a prime number
BaseRepresentation
bin10010010000111000001101…
…01101110110101110001101
312021012111001100121110210202
421020130012231312232031
520231004444034300223
6221230155120143245
711313430343131226
oct1110340655665615
9167174040543722
1040162351868813
1111884837666069
124607896467b25
1319543a7b6a425
149cbc224c024d
15499aacdc4428
hex248706b76b8d

40162351868813 has 2 divisors, whose sum is σ = 40162351868814. Its totient is φ = 40162351868812.

The previous prime is 40162351868789. The next prime is 40162351868897. The reversal of 40162351868813 is 31886815326104.

40162351868813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39946672434244 + 215679434569 = 6320338^2 + 464413^2 .

It is a cyclic number.

It is not a de Polignac number, because 40162351868813 - 218 = 40162351606669 is a prime.

It is a super-2 number, since 2×401623518688132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40162351868213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20081175934406 + 20081175934407.

It is an arithmetic number, because the mean of its divisors is an integer number (20081175934407).

Almost surely, 240162351868813 is an apocalyptic number.

It is an amenable number.

40162351868813 is a deficient number, since it is larger than the sum of its proper divisors (1).

40162351868813 is an equidigital number, since it uses as much as digits as its factorization.

40162351868813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 40162351868813 in words is "forty trillion, one hundred sixty-two billion, three hundred fifty-one million, eight hundred sixty-eight thousand, eight hundred thirteen".