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4441111444 = 2271114419193
BaseRepresentation
bin1000010001011010…
…11111101110010100
3102110111201211121001
410020231133232110
533043411031234
62012404233044
7215024552530
oct41055375624
912414654531
104441111444
111979989840
12a3b39b784
1355a1286c3
14301b7abc0
151aed59d14
hex108b5fb94

4441111444 has 24 divisors (see below), whose sum is σ = 9689698368. Its totient is φ = 1730303040.

The previous prime is 4441111403. The next prime is 4441111447.

It is a happy number.

4441111444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441111447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7209289 + ... + 7209904.

It is an arithmetic number, because the mean of its divisors is an integer number (403737432).

Almost surely, 24441111444 is an apocalyptic number.

4441111444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4441111444 is an abundant number, since it is smaller than the sum of its proper divisors (5248586924).

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

4441111444 is a wasteful number, since it uses less digits than its factorization.

4441111444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419215 (or 14419213 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 4441111444 is about 66641.6644750114. The cubic root of 4441111444 is about 1643.7302858089.

It can be divided in two parts, 44411 and 11444, that added together give a palindrome (55855).

The spelling of 4441111444 in words is "four billion, four hundred forty-one million, one hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 14419193 28838386 57676772 100934351 158611123 201868702 317222246 403737404 634444492 1110277861 2220555722 4441111444