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240054524336021 is a prime number
BaseRepresentation
bin110110100101010000001100…
…101001100101011110010101
31011110221222200112201022202112
4312211100030221211132111
5222431023131212223041
62210315305343320405
7101364236616523163
oct6645201451453625
91143858615638675
10240054524336021
116a54160886304a
1222b102125b0105
13a3c4076a40a65
14433c9b5672233
151cb4580949deb
hexda540ca65795

240054524336021 has 2 divisors, whose sum is σ = 240054524336022. Its totient is φ = 240054524336020.

The previous prime is 240054524335991. The next prime is 240054524336071. The reversal of 240054524336021 is 120633425450042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125306509133521 + 114748015202500 = 11194039^2 + 10712050^2 .

It is a cyclic number.

It is not a de Polignac number, because 240054524336021 - 214 = 240054524319637 is a prime.

It is a super-2 number, since 2×2400545243360212 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240054524336021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240054524336071) 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, 120027262168010 + 120027262168011.

It is an arithmetic number, because the mean of its divisors is an integer number (120027262168011).

Almost surely, 2240054524336021 is an apocalyptic number.

It is an amenable number.

240054524336021 is a deficient number, since it is larger than the sum of its proper divisors (1).

240054524336021 is an equidigital number, since it uses as much as digits as its factorization.

240054524336021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 240054524336021 its reverse (120633425450042), we get a palindrome (360687949786063).

The spelling of 240054524336021 in words is "two hundred forty trillion, fifty-four billion, five hundred twenty-four million, three hundred thirty-six thousand, twenty-one".