Search a number
-
+
4414144434 = 2377910211303
BaseRepresentation
bin1000001110001101…
…00111111110110010
3102101121222202210220
410013012213332302
533020010110214
62010002233510
7214246415520
oct40706477662
912347882726
104414144434
111965740057
12a32355896
135546760ab
142dc35b310
151ac7ce9a9
hex1071a7fb2

4414144434 has 64 divisors (see below), whose sum is σ = 10235043840. Its totient is φ = 1243045440.

The previous prime is 4414144417. The next prime is 4414144463. The reversal of 4414144434 is 4344414144.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4414144395 and 4414144404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3387027 + ... + 3388329.

It is an arithmetic number, because the mean of its divisors is an integer number (159922560).

Almost surely, 24414144434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414144434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117521920).

4414144434 is an abundant number, since it is smaller than the sum of its proper divisors (5820899406).

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

4414144434 is a wasteful number, since it uses less digits than its factorization.

4414144434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415.

The product of its digits is 49152, while the sum is 33.

The square root of 4414144434 is about 66439.0279429192. The cubic root of 4414144434 is about 1640.3965472275.

Adding to 4414144434 its reverse (4344414144), we get a palindrome (8758558578).

The spelling of 4414144434 in words is "four billion, four hundred fourteen million, one hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1021 1106 1303 1659 2042 2606 3063 3318 3909 6126 7147 7818 9121 14294 18242 21441 27363 42882 54726 80659 102937 161318 205874 241977 308811 483954 564613 617622 720559 1129226 1330363 1441118 1693839 2161677 2660726 3387678 3991089 4323354 7982178 9312541 18625082 27937623 55875246 105098677 210197354 315296031 630592062 735690739 1471381478 2207072217 4414144434