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12243343024 = 2411103727929
BaseRepresentation
bin10110110011100001…
…01001011010110000
31011121021000021020001
423121300221122300
5200033243434044
65342521155344
7612254461423
oct133160513260
934537007201
1012243343024
115213058910
12245832bb54
1312016b6193
148420839ba
154b9cdc2d4
hex2d9c296b0

12243343024 has 80 divisors (see below), whose sum is σ = 26193323520. Its totient is φ = 5497620480.

The previous prime is 12243342997. The next prime is 12243343039. The reversal of 12243343024 is 42034334221.

It is a junction number, because it is equal to n+sod(n) for n = 12243342983 and 12243343001.

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, 13178592 + ... + 13179520.

It is an arithmetic number, because the mean of its divisors is an integer number (327416544).

Almost surely, 212243343024 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 12243343024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096661760).

12243343024 is an abundant number, since it is smaller than the sum of its proper divisors (13949980496).

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

12243343024 is a wasteful number, since it uses less digits than its factorization.

12243343024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 12243343024 its reverse (42034334221), we get a palindrome (54277677245).

The spelling of 12243343024 in words is "twelve billion, two hundred forty-three million, three hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 727 824 929 1133 1454 1648 1858 2266 2908 3716 4532 5816 7432 7997 9064 10219 11632 14864 15994 18128 20438 31988 40876 63976 74881 81752 95687 127952 149762 163504 191374 299524 382748 599048 675383 765496 823691 1052557 1198096 1350766 1530992 1647382 2105114 2701532 3294764 4210228 5403064 6589528 7429213 8420456 10806128 13179056 14858426 16840912 29716852 59433704 69564449 118867408 139128898 278257796 556515592 765208939 1113031184 1530417878 3060835756 6121671512 12243343024