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42242200020 = 22325234678889
BaseRepresentation
bin100111010101110101…
…001101000111010100
311001000221011002200200
4213111311031013110
51143003000400040
631223352540500
73023541530046
oct472565150724
9131027132620
1042242200020
1116a07691109
12822a9b1730
133ca276ac37
14208a2b1a96
15117378c630
hex9d5d4d1d4

42242200020 has 36 divisors (see below), whose sum is σ = 128134673940. Its totient is φ = 11264586624.

The previous prime is 42242199959. The next prime is 42242200031. The reversal of 42242200020 is 2000224224.

42242200020 is a `hidden beast` number, since 422 + 4 + 220 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5922225936 + 36319974084 = 76956^2 + 190578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42242199966 and 42242200002.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 117339265 + ... + 117339624.

Almost surely, 242242200020 is an apocalyptic number.

It is an amenable number.

42242200020 is an abundant number, since it is smaller than the sum of its proper divisors (85892473920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42242200020 is a wasteful number, since it uses less digits than its factorization.

42242200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234678904 (or 234678899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42242200020 its reverse (2000224224), we get a palindrome (44242424244).

The spelling of 42242200020 in words is "forty-two billion, two hundred forty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 234678889 469357778 704036667 938715556 1173394445 1408073334 2112110001 2346788890 2816146668 3520183335 4224220002 4693577780 7040366670 8448440004 10560550005 14080733340 21121100010 42242200020