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4411111144 = 231124556933
BaseRepresentation
bin1000001101110110…
…00011011011101000
3102101102021122220211
410012323003123220
533013221024034
62005413230504
7214211553226
oct40673033350
912342248824
104411111144
111963a59100
12a31332434
13553b5354b
142dbbabb16
151ac3d0d64
hex106ec36e8

4411111144 has 24 divisors (see below), whose sum is σ = 9091083330. Its totient is φ = 2005050080.

The previous prime is 4411111129. The next prime is 4411111247.

It is a happy number.

4411111144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4000562500 + 410548644 = 63250^2 + 20262^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2277499 + ... + 2279434.

Almost surely, 24411111144 is an apocalyptic number.

4411111144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4411111144 is an abundant number, since it is smaller than the sum of its proper divisors (4679972186).

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

4411111144 is a wasteful number, since it uses less digits than its factorization.

4411111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556961 (or 4556946 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 4411111144 is about 66416.1963981678. The cubic root of 4411111144 is about 1640.0207145906.

It can be divided in two parts, 44111 and 11144, that added together give a palindrome (55255).

The spelling of 4411111144 in words is "four billion, four hundred eleven million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 4556933 9113866 18227732 36455464 50126263 100252526 200505052 401010104 551388893 1102777786 2205555572 4411111144