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12304144040 = 235379811619
BaseRepresentation
bin10110111010110001…
…00101011010101000
31011202111102021112112
423131120211122220
5200144330102130
65352532301452
7613623333026
oct133530453250
934674367475
1012304144040
115244406591
122474771888
131211183906
1484a18d716
154c02ec495
hex2dd6256a8

12304144040 has 32 divisors (see below), whose sum is σ = 27757404000. Its totient is φ = 4908665664.

The previous prime is 12304144037. The next prime is 12304144093. The reversal of 12304144040 is 4044140321.

It is a happy number.

12304144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12304143997 and 12304144015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390650 + ... + 420969.

It is an arithmetic number, because the mean of its divisors is an integer number (867418875).

Almost surely, 212304144040 is an apocalyptic number.

12304144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12304144040 is an abundant number, since it is smaller than the sum of its proper divisors (15453259960).

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

12304144040 is a wasteful number, since it uses less digits than its factorization.

12304144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812009 (or 812005 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12304144040 its reverse (4044140321), we get a palindrome (16348284361).

The spelling of 12304144040 in words is "twelve billion, three hundred four million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 379 758 1516 1895 3032 3790 7580 15160 811619 1623238 3246476 4058095 6492952 8116190 16232380 32464760 307603601 615207202 1230414404 1538018005 2460828808 3076036010 6152072020 12304144040