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4440224712 = 23371121131933
BaseRepresentation
bin1000010001010100…
…00111001111001000
3102110110001210020010
410020222013033020
533043144142322
62012333231520
7215014200360
oct41052071710
912413053203
104440224712
111979433600
12a3b0325a0
13559ba7c01
143019c99a0
151aec3220c
hex108a873c8

4440224712 has 192 divisors, whose sum is σ = 14075187840. Its totient is φ = 1142507520.

The previous prime is 4440224699. The next prime is 4440224731. The reversal of 4440224712 is 2174220444.

It is a self number, because there is not a number n which added to its sum of digits gives 4440224712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2296098 + ... + 2298030.

It is an arithmetic number, because the mean of its divisors is an integer number (73308270).

Almost surely, 24440224712 is an apocalyptic number.

4440224712 is a gapful number since it is divisible by the number (42) 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 4440224712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037593920).

4440224712 is an abundant number, since it is smaller than the sum of its proper divisors (9634963128).

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

4440224712 is a wasteful number, since it uses less digits than its factorization.

4440224712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 4440224712 is about 66635.0111577990. The cubic root of 4440224712 is about 1643.6208803684.

The spelling of 4440224712 in words is "four billion, four hundred forty million, two hundred twenty-four thousand, seven hundred twelve".