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4430404044 = 22321187712757
BaseRepresentation
bin1000010000001001…
…01001100111001100
3102102202120211210200
410020010221213030
533033140412134
62011342533500
7214534545603
oct41004514714
912382524720
104430404044
111973936150
12a37897290
13557b49b71
14300590a3a
151ade42499
hex1081299cc

4430404044 has 72 divisors (see below), whose sum is σ = 12232064208. Its totient is φ = 1340910720.

The previous prime is 4430404031. The next prime is 4430404057. The reversal of 4430404044 is 4404040344.

It is an interprime number because it is at equal distance from previous prime (4430404031) and next prime (4430404057).

It is a junction number, because it is equal to n+sod(n) for n = 4430403999 and 4430404017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340914 + ... + 353670.

Almost surely, 24430404044 is an apocalyptic number.

4430404044 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 4430404044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116032104).

4430404044 is an abundant number, since it is smaller than the sum of its proper divisors (7801660164).

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

4430404044 is a wasteful number, since it uses less digits than its factorization.

4430404044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13655 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4430404044 is about 66561.2803662910. The cubic root of 4430404044 is about 1642.4082262825.

Adding to 4430404044 its reverse (4404040344), we get a palindrome (8834444388).

The spelling of 4430404044 in words is "four billion, four hundred thirty million, four hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 877 1754 2631 3508 5262 7893 9647 10524 12757 15786 19294 25514 28941 31572 38271 38588 51028 57882 76542 86823 114813 115764 140327 153084 173646 229626 280654 347292 420981 459252 561308 841962 1262943 1683924 2525886 5051772 11187889 22375778 33563667 44751556 67127334 100691001 123066779 134254668 201382002 246133558 369200337 402764004 492267116 738400674 1107601011 1476801348 2215202022 4430404044