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422442141244224 = 2632200219485647
BaseRepresentation
bin110000000001101010111100…
…1110001000101101101000000
32001101202002000011022212010120
41200003111321301011231000
5420332243001124303344
64054243123543300240
7154660303033020543
oct14003257161055500
92041662004285116
10422442141244224
1111266a784763382
123b46814a44a680
131519417a28554a
14764644722a85a
1533c8a52335219
hex1803579c45b40

422442141244224 has 28 divisors (see below), whose sum is σ = 1117711498709184. Its totient is φ = 140814047081344.

The previous prime is 422442141244223. The next prime is 422442141244243.

422442141244224 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422442141244223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100109742632 + ... + 1100109743015.

Almost surely, 2422442141244224 is an apocalyptic number.

It is an amenable number.

422442141244224 is an abundant number, since it is smaller than the sum of its proper divisors (695269357464960).

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

422442141244224 is a wasteful number, since it uses less digits than its factorization.

422442141244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200219485662 (or 2200219485652 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

The spelling of 422442141244224 in words is "four hundred twenty-two trillion, four hundred forty-two billion, one hundred forty-one million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2200219485647 4400438971294 6600658456941 8800877942588 13201316913882 17601755885176 26402633827764 35203511770352 52805267655528 70407023540704 105610535311056 140814047081408 211221070622112 422442141244224