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442227180104361 = 3249136353344929
BaseRepresentation
bin110010010001101000000100…
…1111110101110101010101001
32010222210111122112111000200200
41210203100021332232222221
5430430422231101314421
64204312210102222413
7162101600530356051
oct14443201176565251
92128714575430620
10442227180104361
111189a854836a413
124172270ba24a09
1315c9aac8788b22
147b2bca43ba561
15361d52555b726
hex1923409faeaa9

442227180104361 has 6 divisors (see below), whose sum is σ = 638772593484090. Its totient is φ = 294818120069568.

The previous prime is 442227180104351. The next prime is 442227180104371. The reversal of 442227180104361 is 163401081722244.

442227180104361 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 2 + 7 + 180 + 104 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (442227180104351) and next prime (442227180104371).

It can be written as a sum of positive squares in only one way, i.e., 340479994410000 + 101747185694361 = 18452100^2 + 10086981^2 .

It is not a de Polignac number, because 442227180104361 - 219 = 442227179580073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442227180104351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24568176672456 + ... + 24568176672473.

It is an arithmetic number, because the mean of its divisors is an integer number (106462098914015).

Almost surely, 2442227180104361 is an apocalyptic number.

It is an amenable number.

442227180104361 is a deficient number, since it is larger than the sum of its proper divisors (196545413379729).

442227180104361 is a wasteful number, since it uses less digits than its factorization.

442227180104361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49136353344935 (or 49136353344932 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 442227180104361 in words is "four hundred forty-two trillion, two hundred twenty-seven billion, one hundred eighty million, one hundred four thousand, three hundred sixty-one".

Divisors: 1 3 9 49136353344929 147409060034787 442227180104361