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442701774401 is a prime number
BaseRepresentation
bin1100111000100110001…
…01001111111001000001
31120022200122111021012212
412130103011033321001
524223123123240101
6535212511231505
743661363665055
oct6342305177101
91508618437185
10442701774401
11160826679547
127196bb18595
1332992378b83
14175d9505c65
15b7b06b61bb
hex671314fe41

442701774401 has 2 divisors, whose sum is σ = 442701774402. Its totient is φ = 442701774400.

The previous prime is 442701774349. The next prime is 442701774419. The reversal of 442701774401 is 104477107244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 435633000625 + 7068773776 = 660025^2 + 84076^2 .

It is a cyclic number.

It is not a de Polignac number, because 442701774401 - 222 = 442697580097 is a prime.

It is a super-2 number, since 2×4427017744012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (442701774001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221350887200 + 221350887201.

It is an arithmetic number, because the mean of its divisors is an integer number (221350887201).

Almost surely, 2442701774401 is an apocalyptic number.

It is an amenable number.

442701774401 is a deficient number, since it is larger than the sum of its proper divisors (1).

442701774401 is an equidigital number, since it uses as much as digits as its factorization.

442701774401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175616, while the sum is 41.

The spelling of 442701774401 in words is "four hundred forty-two billion, seven hundred one million, seven hundred seventy-four thousand, four hundred one".