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12340014032 = 2441611132729
BaseRepresentation
bin10110111111000010…
…11010101111010000
31011211222220122220202
423133201122233100
5200233020422112
65400253154332
7614540250203
oct133741325720
934758818822
1012340014032
115262686205
12248478b9a8
131218732668
14850c4993a
154c35356c2
hex2df85abd0

12340014032 has 80 divisors (see below), whose sum is σ = 25122923280. Its totient is φ = 5866291200.

The previous prime is 12340014017. The next prime is 12340014059. The reversal of 12340014032 is 23041004321.

It can be written as a sum of positive squares in 8 ways, for example, as 4088835136 + 8251178896 = 63944^2 + 90836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12340013995 and 12340014013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4520444 + ... + 4523172.

It is an arithmetic number, because the mean of its divisors is an integer number (314036541).

Almost surely, 212340014032 is an apocalyptic number.

It is an amenable number.

12340014032 is an abundant number, since it is smaller than the sum of its proper divisors (12782909248).

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

12340014032 is a wasteful number, since it uses less digits than its factorization.

12340014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12340014032 its reverse (23041004321), we get a palindrome (35381018353).

The spelling of 12340014032 in words is "twelve billion, three hundred forty million, fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 41 61 82 113 122 164 226 244 328 452 488 656 904 976 1808 2501 2729 4633 5002 5458 6893 9266 10004 10916 13786 18532 20008 21832 27572 37064 40016 43664 55144 74128 110288 111889 166469 223778 282613 308377 332938 447556 565226 616754 665876 895112 1130452 1233508 1331752 1790224 2260904 2467016 2663504 4521808 4934032 6825229 12643457 13650458 18810997 25286914 27300916 37621994 50573828 54601832 75243988 101147656 109203664 150487976 202295312 300975952 771250877 1542501754 3085003508 6170007016 12340014032