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442236970081 = 109261012
BaseRepresentation
bin1100110111101110110…
…00001010010001100001
31120021111020212202120001
412123313120022101201
524221200131020311
6535054425020001
743644021136324
oct6336730122141
91507436782501
10442236970081
11160608271145
1271860324601
1332919c9792a
14175938b27bb
15b7849a14c1
hex66f760a461

442236970081 has 9 divisors (see below), whose sum is σ = 446404581273. Its totient is φ = 438107929200.

The previous prime is 442236970033. The next prime is 442236970099. The reversal of 442236970081 is 180079632244.

It is a happy number.

The square root of 442236970081 is 665009.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48154352481 + 394082617600 = 219441^2 + 627760^2 .

It is not a de Polignac number, because 442236970081 - 29 = 442236969569 is a prime.

It is a super-2 number, since 2×4422369700812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442236970031) 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 in 8 ways as a sum of consecutive naturals, for example, 72482931 + ... + 72489031.

Almost surely, 2442236970081 is an apocalyptic number.

442236970081 is the 665009-th square number.

442236970081 is the 332505-th centered octagonal number.

It is an amenable number.

442236970081 is a deficient number, since it is larger than the sum of its proper divisors (4167611192).

442236970081 is an frugal number, since it uses more digits than its factorization.

442236970081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 442236970081 in words is "four hundred forty-two billion, two hundred thirty-six million, nine hundred seventy thousand, eighty-one".

Divisors: 1 109 6101 11881 665009 37222201 72485981 4057219909 442236970081