Search a number
-
+
240213400961 is a prime number
BaseRepresentation
bin1101111110110111010…
…1011001110110000001
3211222000212220010002012
43133231311121312001
512413424112312321
6302204050502305
723232466135022
oct3375565316601
9758025803065
10240213400961
1192968225576
123a67ab94995
131986266b5a1
14b8aab5cc49
1563ada6105b
hex37edd59d81

240213400961 has 2 divisors, whose sum is σ = 240213400962. Its totient is φ = 240213400960.

The previous prime is 240213400943. The next prime is 240213401017. The reversal of 240213400961 is 169004312042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220467811600 + 19745589361 = 469540^2 + 140519^2 .

It is a cyclic number.

It is not a de Polignac number, because 240213400961 - 230 = 239139659137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (240213400061) 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, 120106700480 + 120106700481.

It is an arithmetic number, because the mean of its divisors is an integer number (120106700481).

Almost surely, 2240213400961 is an apocalyptic number.

It is an amenable number.

240213400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

240213400961 is an equidigital number, since it uses as much as digits as its factorization.

240213400961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 240213400961 in words is "two hundred forty billion, two hundred thirteen million, four hundred thousand, nine hundred sixty-one".