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242644024001 is a prime number
BaseRepresentation
bin1110000111111010110…
…1011111101011000001
3212012022021112120001202
43201332231133223001
512433413332232001
6303245155310545
723346642113411
oct3417655375301
9765267476052
10242644024001
11939a5253645
123b038bab455
1319b5c0b9982
14ba5b8b0641
1564a213596b
hex387eb5fac1

242644024001 has 2 divisors, whose sum is σ = 242644024002. Its totient is φ = 242644024000.

The previous prime is 242644023991. The next prime is 242644024003. The reversal of 242644024001 is 100420446242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240148022401 + 2496001600 = 490049^2 + 49960^2 .

It is a cyclic number.

It is not a de Polignac number, because 242644024001 - 210 = 242644022977 is a prime.

It is a super-2 number, since 2×2426440240012 (a number of 24 digits) contains 22 as substring.

Together with 242644024003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (242644024003) 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, 121322012000 + 121322012001.

It is an arithmetic number, because the mean of its divisors is an integer number (121322012001).

Almost surely, 2242644024001 is an apocalyptic number.

It is an amenable number.

242644024001 is a deficient number, since it is larger than the sum of its proper divisors (1).

242644024001 is an equidigital number, since it uses as much as digits as its factorization.

242644024001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 29.

The spelling of 242644024001 in words is "two hundred forty-two billion, six hundred forty-four million, twenty-four thousand, one".