Search a number
-
+
40434537584261 is a prime number
BaseRepresentation
bin10010011000110011001100…
…01111111101011010000101
312022011111121110001110002202
421030121212033331122011
520244434413110144021
6221555211540444245
711342204351421152
oct1114314617753205
9168144543043082
1040434537584261
111197a211381737
1246505989a9685
131973c643a37a2
149db0835b7229
154a1bdd7a3a0b
hex24c6663fd685

40434537584261 has 2 divisors, whose sum is σ = 40434537584262. Its totient is φ = 40434537584260.

The previous prime is 40434537584257. The next prime is 40434537584327. The reversal of 40434537584261 is 16248573543404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34357252588036 + 6077284996225 = 5861506^2 + 2465215^2 .

It is a cyclic number.

It is not a de Polignac number, because 40434537584261 - 22 = 40434537584257 is a prime.

It is a super-2 number, since 2×404345375842612 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40434537584197 and 40434537584206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40434537584461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20217268792130 + 20217268792131.

It is an arithmetic number, because the mean of its divisors is an integer number (20217268792131).

Almost surely, 240434537584261 is an apocalyptic number.

It is an amenable number.

40434537584261 is a deficient number, since it is larger than the sum of its proper divisors (1).

40434537584261 is an equidigital number, since it uses as much as digits as its factorization.

40434537584261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38707200, while the sum is 56.

The spelling of 40434537584261 in words is "forty trillion, four hundred thirty-four billion, five hundred thirty-seven million, five hundred eighty-four thousand, two hundred sixty-one".