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240224239993 is a prime number
BaseRepresentation
bin1101111110111001111…
…0110000000101111001
3211222001122021210102211
43133232132300011321
512413434401134433
6302205115055121
723232660230503
oct3375636600571
9758048253384
10240224239993
1192973359051
123a6827414a1
131986499500a
14b8ac380d73
1563ae9a28cd
hex37ee7b0179

240224239993 has 2 divisors, whose sum is σ = 240224239994. Its totient is φ = 240224239992.

The previous prime is 240224239991. The next prime is 240224240027. The reversal of 240224239993 is 399932422042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194681265529 + 45542974464 = 441227^2 + 213408^2 .

It is a cyclic number.

It is not a de Polignac number, because 240224239993 - 21 = 240224239991 is a prime.

Together with 240224239991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (240224239991) 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, 120112119996 + 120112119997.

It is an arithmetic number, because the mean of its divisors is an integer number (120112119997).

Almost surely, 2240224239993 is an apocalyptic number.

It is an amenable number.

240224239993 is a deficient number, since it is larger than the sum of its proper divisors (1).

240224239993 is an equidigital number, since it uses as much as digits as its factorization.

240224239993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 240224239993 in words is "two hundred forty billion, two hundred twenty-four million, two hundred thirty-nine thousand, nine hundred ninety-three".