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4431140340 = 22351110365183
BaseRepresentation
bin1000010000001110…
…11101010111110100
3102102210222020210220
410020013131113310
533033332442330
62011410414340
7214544033334
oct41007352764
912383866726
104431140340
111974299360
12a37b913b0
13558047043
143007030c4
151ae03a710
hex1081dd5f4

4431140340 has 96 divisors (see below), whose sum is σ = 13666738176. Its totient is φ = 1063770240.

The previous prime is 4431140299. The next prime is 4431140407. The reversal of 4431140340 is 430411344.

It is a self number, because there is not a number n which added to its sum of digits gives 4431140340.

It is a congruent number.

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, 35389 + ... + 100571.

It is an arithmetic number, because the mean of its divisors is an integer number (142361856).

Almost surely, 24431140340 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 4431140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833369088).

4431140340 is an abundant number, since it is smaller than the sum of its proper divisors (9235597836).

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

4431140340 is a wasteful number, since it uses less digits than its factorization.

4431140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65309 (or 65307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4431140340 is about 66566.8110998266. The cubic root of 4431140340 is about 1642.4992060675.

Adding to 4431140340 its reverse (430411344), we get a palindrome (4861551684).

The spelling of 4431140340 in words is "four billion, four hundred thirty-one million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 11330 13596 16995 22660 33990 65183 67980 130366 195549 260732 325915 391098 651830 717013 782196 977745 1303660 1434026 1955490 2151039 2868052 3585065 3910980 4302078 6713849 7170130 8604156 10755195 13427698 14340260 20141547 21510390 26855396 33569245 40283094 43020780 67138490 73852339 80566188 100707735 134276980 147704678 201415470 221557017 295409356 369261695 402830940 443114034 738523390 886228068 1107785085 1477046780 2215570170 4431140340