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4441441444 = 22111916673187
BaseRepresentation
bin1000010001011101…
…10000010010100100
3102110112100121021021
410020232300102210
533044002111234
62012415300524
7215030425606
oct41056602244
912415317237
104441441444
11197a094770
12a3b51a744
1355a21297b
14301c25176
151aedc29b4
hex108bb04a4

4441441444 has 48 divisors (see below), whose sum is σ = 8933541120. Its totient is φ = 1910835360.

The previous prime is 4441441397. The next prime is 4441441447.

It is a happy number.

4441441444 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (4441441447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392019 + ... + 1395205.

It is an arithmetic number, because the mean of its divisors is an integer number (186115440).

Almost surely, 24441441444 is an apocalyptic number.

4441441444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4441441444 is an abundant number, since it is smaller than the sum of its proper divisors (4492099676).

4441441444 is a wasteful number, since it uses less digits than its factorization.

4441441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4886 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

The square root of 4441441444 is about 66644.1403575738. The cubic root of 4441441444 is about 1643.7709976567.

It can be divided in two parts, 44414 and 41444, that added together give a palindrome (85858).

The spelling of 4441441444 in words is "four billion, four hundred forty-one million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 1667 3187 3334 6374 6668 12748 18337 31673 35057 36674 60553 63346 70114 73348 121106 126692 140228 242212 348403 666083 696806 1332166 1393612 2664332 5312729 10625458 21250916 58440019 100941851 116880038 201883702 233760076 403767404 1110360361 2220720722 4441441444