Search a number
-
+
12134432424 = 23331127167769
BaseRepresentation
bin10110100110100010…
…01011111010101000
31011022200002000222010
423103101023322220
5144322403314144
65324030555520
7606462655002
oct132321137250
934280060863
1012134432424
115167630754
122427968ba0
1311b4c7293a
14831813372
154b04775b9
hex2d344bea8

12134432424 has 128 divisors (see below), whose sum is σ = 31791513600. Its totient is φ = 3855237120.

The previous prime is 12134432417. The next prime is 12134432449. The reversal of 12134432424 is 42423443121.

12134432424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12134432391 and 12134432400.

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 31 ways as a sum of consecutive naturals, for example, 15779112 + ... + 15779880.

It is an arithmetic number, because the mean of its divisors is an integer number (248371200).

Almost surely, 212134432424 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 12134432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895756800).

12134432424 is an abundant number, since it is smaller than the sum of its proper divisors (19657081176).

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

12134432424 is a wasteful number, since it uses less digits than its factorization.

12134432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 12134432424 its reverse (42423443121), we get a palindrome (54557875545).

The spelling of 12134432424 in words is "twelve billion, one hundred thirty-four million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 127 167 186 248 254 334 372 381 501 508 668 744 762 769 1002 1016 1336 1524 1538 2004 2307 3048 3076 3937 4008 4614 5177 6152 7874 9228 10354 11811 15531 15748 18456 20708 21209 23622 23839 31062 31496 41416 42418 47244 47678 62124 63627 71517 84836 94488 95356 97663 124248 127254 128423 143034 169672 190712 195326 254508 256846 286068 292989 385269 390652 509016 513692 572136 585978 657479 770538 781304 1027384 1171956 1314958 1541076 1972437 2343912 2629916 3027553 3082152 3944874 3981113 5259832 6055106 7889748 7962226 9082659 11943339 12110212 15779496 15924452 16309721 18165318 23886678 24220424 31848904 32619442 36330636 47773356 48929163 65238884 72661272 95546712 97858326 130477768 195716652 391433304 505601351 1011202702 1516804053 2022405404 3033608106 4044810808 6067216212 12134432424