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4314043140 = 2235117199091
BaseRepresentation
bin1000000010010001…
…10001001100000100
3102010122122002122120
410001020301030010
532313343340030
61552024525540
7211622522151
oct40110611404
912118562576
104314043140
11191418a510
12a049208b0
135399c8464
142ccd41228
151a3b0a010
hex101231304

4314043140 has 96 divisors (see below), whose sum is σ = 13197219840. Its totient is φ = 1044259200.

The previous prime is 4314043133. The next prime is 4314043163. The reversal of 4314043140 is 413404134.

It is a super-2 number, since 2×43140431402 = 37221936427562119200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4314043140.

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, 469995 + ... + 479085.

It is an arithmetic number, because the mean of its divisors is an integer number (137471040).

Almost surely, 24314043140 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 4314043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598609920).

4314043140 is an abundant number, since it is smaller than the sum of its proper divisors (8883176700).

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

4314043140 is a wasteful number, since it uses less digits than its factorization.

4314043140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9831 counting only the distinct ones).

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

The square root of 4314043140 is about 65681.3758991086. The cubic root of 4314043140 is about 1627.9016420201.

Adding to 4314043140 its reverse (413404134), we get a palindrome (4727447274).

The spelling of 4314043140 in words is "four billion, three hundred fourteen million, forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 719 1438 2157 2876 3595 4314 7190 7909 8628 9091 10785 14380 15818 18182 21570 23727 27273 31636 36364 39545 43140 45455 47454 54546 79090 90910 94908 100001 109092 118635 136365 158180 181820 200002 237270 272730 300003 400004 474540 500005 545460 600006 1000010 1200012 1500015 2000020 3000030 6000060 6536429 13072858 19609287 26145716 32682145 39218574 65364290 71900719 78437148 98046435 130728580 143801438 196092870 215702157 287602876 359503595 392185740 431404314 719007190 862808628 1078510785 1438014380 2157021570 4314043140