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2422328344128 = 2632711389140401
BaseRepresentation
bin100011001111111110000…
…001010011111001000000
322120120110020010121220100
4203033332001103321000
5304141412024003003
65052445143042400
7340002361125210
oct43177601237100
98516406117810
102422328344128
11854338222650
12331568a40400
13147569a67854
1485354264240
1543024c61ba3
hex233fe053e40

2422328344128 has 336 divisors, whose sum is σ = 8678730602880. Its totient is φ = 627554304000.

The previous prime is 2422328344067. The next prime is 2422328344151. The reversal of 2422328344128 is 8214438232242.

2422328344128 is a `hidden beast` number, since 2 + 4 + 223 + 2 + 8 + 3 + 4 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17182728 + ... + 17323128.

Almost surely, 22422328344128 is an apocalyptic number.

2422328344128 is a gapful number since it is divisible by the number (28) 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 2422328344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339365301440).

2422328344128 is an abundant number, since it is smaller than the sum of its proper divisors (6256402258752).

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

2422328344128 is a wasteful number, since it uses less digits than its factorization.

2422328344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140826 (or 140813 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 2422328344128 in words is "two trillion, four hundred twenty-two billion, three hundred twenty-eight million, three hundred forty-four thousand, one hundred twenty-eight".