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44400400444242 = 23217145099347857
BaseRepresentation
bin10100001100001110001100…
…00110001010101101010010
312211012122012020200202110200
422012013012012022231102
521304424010003203432
6234233132401240030
712231552212502603
oct1206070606125522
9184178166622420
1044400400444242
1113169116597797
124b91118333016
131ba0c2a96a08b
14ad6dc2c59daa
1551ee52820a7c
hex2861c618ab52

44400400444242 has 24 divisors (see below), whose sum is σ = 101859742196316. Its totient is φ = 13929537394176.

The previous prime is 44400400444091. The next prime is 44400400444297. The reversal of 44400400444242 is 24244400400444.

44400400444242 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 0 + 400 + 4 + 4 + 4 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33609510511641 + 10790889932601 = 5797371^2 + 3284949^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44400400444197 and 44400400444206.

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, 72549673623 + ... + 72549674234.

Almost surely, 244400400444242 is an apocalyptic number.

44400400444242 is an abundant number, since it is smaller than the sum of its proper divisors (57459341752074).

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

44400400444242 is a wasteful number, since it uses less digits than its factorization.

44400400444242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145099347882 (or 145099347879 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44400400444242 its reverse (24244400400444), we get a palindrome (68644800844686).

The spelling of 44400400444242 in words is "forty-four trillion, four hundred billion, four hundred million, four hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 145099347857 290198695714 435298043571 870596087142 1305894130713 2466688913569 2611788261426 4933377827138 7400066740707 14800133481414 22200200222121 44400400444242