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4431442314 = 2313194369539
BaseRepresentation
bin1000010000010001…
…00111000110001010
3102102211112121001010
410020020213012022
533033422123224
62011421104350
7214546431615
oct41010470612
912384477033
104431442314
111974485222
12a380b80b6
13558121620
1430078117c
151ae099e29
hex10822718a

4431442314 has 64 divisors (see below), whose sum is σ = 10280793600. Its totient is φ = 1261697472.

The previous prime is 4431442273. The next prime is 4431442331. The reversal of 4431442314 is 4132441344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28957 + ... + 98495.

It is an arithmetic number, because the mean of its divisors is an integer number (160637400).

Almost surely, 24431442314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431442314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140396800).

4431442314 is an abundant number, since it is smaller than the sum of its proper divisors (5849351286).

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

4431442314 is a wasteful number, since it uses less digits than its factorization.

4431442314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69619.

The product of its digits is 18432, while the sum is 30.

The square root of 4431442314 is about 66569.0792635740. The cubic root of 4431442314 is about 1642.5365163120.

Adding to 4431442314 its reverse (4132441344), we get a palindrome (8563883658).

The spelling of 4431442314 in words is "four billion, four hundred thirty-one million, four hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 43 57 78 86 114 129 247 258 494 559 741 817 1118 1482 1634 1677 2451 3354 4902 10621 21242 31863 63726 69539 139078 208617 417234 904007 1321241 1808014 2642482 2712021 2990177 3963723 5424042 5980354 7927446 8970531 17176133 17941062 34352266 38872301 51528399 56813363 77744602 103056798 113626726 116616903 170440089 233233806 340880178 738573719 1477147438 2215721157 4431442314