Search a number
-
+
4244112444 = 223111323191563
BaseRepresentation
bin1111110011111000…
…0000010000111100
3101221210001020202210
43330332000100330
532142443044234
61541050020420
7210113234445
oct37476002074
911853036683
104244112444
111888766550
129a5417710
13528382350
142c393a2cc
1519c8e4be9
hexfcf8043c

4244112444 has 192 divisors, whose sum is σ = 12225282048. Its totient is φ = 1127596800.

The previous prime is 4244112419. The next prime is 4244112461. The reversal of 4244112444 is 4442114424.

4244112444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7538107 + ... + 7538669.

It is an arithmetic number, because the mean of its divisors is an integer number (63673344).

Almost surely, 24244112444 is an apocalyptic number.

4244112444 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 4244112444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112641024).

4244112444 is an abundant number, since it is smaller than the sum of its proper divisors (7981169604).

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

4244112444 is a wasteful number, since it uses less digits than its factorization.

4244112444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4244112444 is about 65146.8529094077. The cubic root of 4244112444 is about 1619.0575786706.

Adding to 4244112444 its reverse (4442114424), we get a palindrome (8686226868).

The spelling of 4244112444 in words is "four billion, two hundred forty-four million, one hundred twelve thousand, four hundred forty-four".