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442442323244244 = 22336870193603687
BaseRepresentation
bin110010010011001100010000…
…1100000101011010011010100
32011000120001222020020220212210
41210212120201200223103110
5430442433334222303434
64204555110342313420
7162123255140030661
oct14446304140532324
92130501866226783
10442442323244244
11118a80810029754
1241758352a28870
1315cb51941905ab
147b38473702a68
153623e1816bee9
hex192662182b4d4

442442323244244 has 12 divisors (see below), whose sum is σ = 1032365420903264. Its totient is φ = 147480774414744.

The previous prime is 442442323244221. The next prime is 442442323244269.

442442323244244 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442442323244193 and 442442323244202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18435096801832 + ... + 18435096801855.

Almost surely, 2442442323244244 is an apocalyptic number.

It is an amenable number.

442442323244244 is an abundant number, since it is smaller than the sum of its proper divisors (589923097659020).

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

442442323244244 is a wasteful number, since it uses less digits than its factorization.

442442323244244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36870193603694 (or 36870193603692 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 48.

The spelling of 442442323244244 in words is "four hundred forty-two trillion, four hundred forty-two billion, three hundred twenty-three million, two hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 36870193603687 73740387207374 110610580811061 147480774414748 221221161622122 442442323244244