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4440244089120 = 2535741139461503
BaseRepresentation
bin100000010011101001100…
…1010111111000100100000
3120201111001020121121202020
41000213103022333010200
51040222104441322440
613235453040421440
7635540250011040
oct100472312770440
916644036547666
104440244089120
111462108038854
125b8670917880
13262936c3c458
14114ca228b720
157a77aa033d0
hex409d32bf120

4440244089120 has 768 divisors, whose sum is σ = 16561192919040. Its totient is φ = 978953011200.

The previous prime is 4440244089101. The next prime is 4440244089163. The reversal of 4440244089120 is 219804420444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8827522789 + ... + 8827523291.

It is an arithmetic number, because the mean of its divisors is an integer number (21564053280).

Almost surely, 24440244089120 is an apocalyptic number.

4440244089120 is a gapful number since it is divisible by the number (40) 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 4440244089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280596459520).

4440244089120 is an abundant number, since it is smaller than the sum of its proper divisors (12120948829920).

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

4440244089120 is a wasteful number, since it uses less digits than its factorization.

4440244089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 4440244089120 in words is "four trillion, four hundred forty billion, two hundred forty-four million, eighty-nine thousand, one hundred twenty".