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12344134242 = 23111092277559
BaseRepresentation
bin10110111111100010…
…01000101001100010
31011212021122222210010
423133301020221202
5200240044243432
65400521345350
7614620260366
oct133761105142
934767588703
1012344134242
115264a3a840
122486038256
131219545b5b
148515dd2a6
154c3a9b3cc
hex2dfc48a62

12344134242 has 64 divisors (see below), whose sum is σ = 27303091200. Its totient is φ = 3689513280.

The previous prime is 12344134237. The next prime is 12344134259. The reversal of 12344134242 is 24243144321.

12344134242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1629259 + ... + 1636817.

It is an arithmetic number, because the mean of its divisors is an integer number (426610800).

Almost surely, 212344134242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344134242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651545600).

12344134242 is an abundant number, since it is smaller than the sum of its proper divisors (14958956958).

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

12344134242 is a wasteful number, since it uses less digits than its factorization.

12344134242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911.

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

Adding to 12344134242 its reverse (24243144321), we get a palindrome (36587278563).

The spelling of 12344134242 in words is "twelve billion, three hundred forty-four million, one hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 109 218 227 327 454 654 681 1199 1362 2398 2497 3597 4994 7194 7491 7559 14982 15118 22677 24743 45354 49486 74229 83149 148458 166298 249447 272173 498894 544346 816519 823931 1633038 1647862 1715893 2471793 3431786 4943586 5147679 9063241 10295358 18126482 18874823 27189723 37749646 54379446 56624469 113248938 187032337 374064674 561097011 1122194022 2057355707 4114711414 6172067121 12344134242