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12412413234 = 23213731076791
BaseRepresentation
bin10111000111101011…
…00110010100110010
31012001001010220221200
423203311212110302
5200410034210414
65411401032030
7616406525454
oct134365462462
935031126850
1012412413234
11529a535861
1224a4a85616
13122a731220
1485a6d42d4
154c9a87109
hex2e3d66532

12412413234 has 96 divisors (see below), whose sum is σ = 29637788544. Its totient is φ = 3731132160.

The previous prime is 12412413229. The next prime is 12412413241. The reversal of 12412413234 is 43231421421.

12412413234 is a `hidden beast` number, since 1 + 2 + 4 + 12 + 413 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12412413198 and 12412413207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1824379 + ... + 1831169.

It is an arithmetic number, because the mean of its divisors is an integer number (308726964).

Almost surely, 212412413234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412413234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818894272).

12412413234 is an abundant number, since it is smaller than the sum of its proper divisors (17225375310).

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

12412413234 is a wasteful number, since it uses less digits than its factorization.

12412413234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6989 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12412413234 its reverse (43231421421), we get a palindrome (55643834655).

The spelling of 12412413234 in words is "twelve billion, four hundred twelve million, four hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 107 117 146 214 219 234 321 438 642 657 949 963 1314 1391 1898 1926 2782 2847 4173 5694 6791 7811 8346 8541 12519 13582 15622 17082 20373 23433 25038 40746 46866 61119 70299 88283 101543 122238 140598 176566 203086 264849 304629 495743 529698 609258 726637 794547 913887 991486 1453274 1487229 1589094 1827774 2179911 2974458 4359822 4461687 6444659 6539733 8923374 9446281 12889318 13079466 18892562 19333977 28338843 38667954 53044501 56677686 58001931 85016529 106089002 116003862 159133503 170033058 318267006 477400509 689578513 954801018 1379157026 2068735539 4137471078 6206206617 12412413234