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12434441124 = 2237314775131
BaseRepresentation
bin10111001010010011…
…01000001110100100
31012002120121001112110
423211021220032210
5200431204103444
65413505121020
7620065001640
oct134511501644
935076531473
1012434441124
115300a10726
1224b0329170
131232174691
1485d5c9c20
154cb988cb9
hex2e52683a4

12434441124 has 48 divisors (see below), whose sum is σ = 34228146176. Its totient is φ = 3438093600.

The previous prime is 12434441081. The next prime is 12434441143. The reversal of 12434441124 is 42114443421.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12434441091 and 12434441100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2384962 + ... + 2390169.

Almost surely, 212434441124 is an apocalyptic number.

12434441124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12434441124 is an abundant number, since it is smaller than the sum of its proper divisors (21793705052).

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

12434441124 is a wasteful number, since it uses less digits than its factorization.

12434441124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775176 (or 4775174 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 12434441124 its reverse (42114443421), we get a palindrome (54548884545).

The spelling of 12434441124 in words is "twelve billion, four hundred thirty-four million, four hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 4775131 9550262 14325393 19100524 28650786 33425917 57301572 66851834 100277751 133703668 148029061 200555502 296058122 401111004 444087183 592116244 888174366 1036203427 1776348732 2072406854 3108610281 4144813708 6217220562 12434441124