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2322944239104 = 29325943919463
BaseRepresentation
bin100001110011011010010…
…001000010011000000000
322020001220222101222201200
4201303122101002120000
5301024342211122404
64535051300501200
7326553503146656
oct41633221023000
98201828358650
102322944239104
11816178511565
123162513aa800
1313b08ba2a808
1480606d26dd6
1540659b34839
hex21cda442600

2322944239104 has 240 divisors, whose sum is σ = 6833685830400. Its totient is φ = 759417827328.

The previous prime is 2322944239079. The next prime is 2322944239117. The reversal of 2322944239104 is 4019324492232.

2322944239104 is a `hidden beast` number, since 2 + 32 + 2 + 94 + 423 + 9 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2322944239104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119342077 + ... + 119361539.

It is an arithmetic number, because the mean of its divisors is an integer number (28473690960).

Almost surely, 22322944239104 is an apocalyptic number.

2322944239104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322944239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416842915200).

2322944239104 is an abundant number, since it is smaller than the sum of its proper divisors (4510741591296).

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

2322944239104 is a wasteful number, since it uses less digits than its factorization.

2322944239104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19985 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2322944239104 in words is "two trillion, three hundred twenty-two billion, nine hundred forty-four million, two hundred thirty-nine thousand, one hundred four".