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4444884444 = 223711133773137
BaseRepresentation
bin1000010001110111…
…11000110111011100
3102110202211112011210
410020323320313130
533100342300234
62013021144420
7215101615530
oct41073706734
912422745153
104444884444
111981026520
12a406bb110
1355ab49b50
1430247dbc0
151b0352be9
hex108ef8ddc

4444884444 has 384 divisors, whose sum is σ = 14603323392. Its totient is φ = 1015234560.

The previous prime is 4444884443. The next prime is 4444884461.

4444884444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4444884393 and 4444884402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444884443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32444344 + ... + 32444480.

It is an arithmetic number, because the mean of its divisors is an integer number (38029488).

Almost surely, 24444884444 is an apocalyptic number.

4444884444 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 4444884444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301661696).

4444884444 is an abundant number, since it is smaller than the sum of its proper divisors (10158438948).

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

4444884444 is a wasteful number, since it uses less digits than its factorization.

4444884444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 48.

The square root of 4444884444 is about 66669.9665816625. The cubic root of 4444884444 is about 1644.1956377074.

Multiplying 4444884444 by its sum of digits (48), we get a palindrome (213354453312).

It can be divided in two parts, 4444 and 884444, that added together give a palindrome (888888).

The spelling of 4444884444 in words is "four billion, four hundred forty-four million, eight hundred eighty-four thousand, four hundred forty-four".