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4221415044 = 223271117293089
BaseRepresentation
bin1111101110011101…
…1010111010000100
3101220012100002210100
43323213122322010
532121140240134
61534515324100
7206416302330
oct37347327204
911805302710
104221415044
111876973670
129998b0630
13523766232
142c090c7c0
1519a90e999
hexfb9dae84

4221415044 has 288 divisors, whose sum is σ = 14576889600. Its totient is φ = 996065280.

The previous prime is 4221415021. The next prime is 4221415057. The reversal of 4221415044 is 4405141224.

It is a junction number, because it is equal to n+sod(n) for n = 4221414999 and 4221415017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1365052 + ... + 1368140.

It is an arithmetic number, because the mean of its divisors is an integer number (50614200).

Almost surely, 24221415044 is an apocalyptic number.

4221415044 is a gapful number since it is divisible by the number (44) 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 4221415044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288444800).

4221415044 is an abundant number, since it is smaller than the sum of its proper divisors (10355474556).

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

4221415044 is a wasteful number, since it uses less digits than its factorization.

4221415044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4221415044 is about 64972.4175631475. The cubic root of 4221415044 is about 1616.1661926136.

Adding to 4221415044 its reverse (4405141224), we get a palindrome (8626556268).

The spelling of 4221415044 in words is "four billion, two hundred twenty-one million, four hundred fifteen thousand, forty-four".