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442022040220244 = 221128866110300681
BaseRepresentation
bin110010010000001000100011…
…0101100001011001001010100
32010222001220010222121011200212
41210200101012230023021110
5430414042114244021434
64204034042202424552
7162051016135206131
oct14440210654131124
92128056128534625
10442022040220244
11118929549239200
12416aa9bab02158
1315c84665641703
147b21da3823588
15361801ac4d8ce
hex1920446b0b254

442022040220244 has 36 divisors (see below), whose sum is σ = 850262811827604. Its totient is φ = 200916823536000.

The previous prime is 442022040220237. The next prime is 442022040220249.

442022040220244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 12615368483344 + 429406671736900 = 3551812^2 + 20722130^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442022040220244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442022040220249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37761584 + ... + 48062264.

Almost surely, 2442022040220244 is an apocalyptic number.

442022040220244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442022040220244 is a deficient number, since it is larger than the sum of its proper divisors (408240771607360).

442022040220244 is a wasteful number, since it uses less digits than its factorization.

442022040220244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389368 (or 10389355 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

The spelling of 442022040220244 in words is "four hundred forty-two trillion, twenty-two billion, forty million, two hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 121 242 484 88661 177322 354644 975271 1950542 3901084 10300681 10727981 20601362 21455962 41202724 42911924 113307491 226614982 453229964 1246382401 2492764802 4985529604 913268678141 1826537356282 3653074712564 10045955459551 20091910919102 40183821838204 110505510055061 221011020110122 442022040220244