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4434124144 = 241737943013
BaseRepresentation
bin1000010000100101…
…10101110101110000
3102110000120211211011
410020102311311300
533040113433034
62011554400304
7214611301432
oct41022656560
912400524734
104434124144
111975a4710a
12a38b90094
135588501c8
14300c7c652
151ae429864
hex1084b5d70

4434124144 has 40 divisors (see below), whose sum is σ = 9120688560. Its totient is φ = 2081092608.

The previous prime is 4434124133. The next prime is 4434124159. The reversal of 4434124144 is 4414214344.

It is a super-3 number, since 3×44341241443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81582 + ... + 124594.

It is an arithmetic number, because the mean of its divisors is an integer number (228017214).

Almost surely, 24434124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560344280).

4434124144 is an abundant number, since it is smaller than the sum of its proper divisors (4686564416).

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

4434124144 is a wasteful number, since it uses less digits than its factorization.

4434124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43417 (or 43411 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

The square root of 4434124144 is about 66589.2194277722. The cubic root of 4434124144 is about 1642.8677941130.

Adding to 4434124144 its reverse (4414214344), we get a palindrome (8848338488).

The spelling of 4434124144 in words is "four billion, four hundred thirty-four million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 379 758 1516 3032 6064 6443 12886 25772 43013 51544 86026 103088 172052 344104 688208 731221 1462442 2924884 5849768 11699536 16301927 32603854 65207708 130415416 260830832 277132759 554265518 1108531036 2217062072 4434124144