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12343413042 = 2331912779421
BaseRepresentation
bin10110111111011100…
…11000100100110010
31011212020022100111000
423133232120210302
5200234403204132
65400454102430
7614611164642
oct133756304462
934766270430
1012343413042
115264597a04
12248594aa16
1312193527cc
14851492522
154c39a787c
hex2dfb98932

12343413042 has 64 divisors (see below), whose sum is σ = 28899158400. Its totient is φ = 3894454080.

The previous prime is 12343413011. The next prime is 12343413067. The reversal of 12343413042 is 24031434321.

12343413042 is a `hidden beast` number, since 12 + 3 + 4 + 341 + 304 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12343412997 and 12343413015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305492 + ... + 1314912.

It is an arithmetic number, because the mean of its divisors is an integer number (451549350).

Almost surely, 212343413042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343413042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449579200).

12343413042 is an abundant number, since it is smaller than the sum of its proper divisors (16555745358).

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

12343413042 is a wasteful number, since it uses less digits than its factorization.

12343413042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12343413042 its reverse (24031434321), we get a palindrome (36374847363).

The spelling of 12343413042 in words is "twelve billion, three hundred forty-three million, four hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1277 2554 3831 7662 9421 11493 18842 22986 24263 28263 34479 48526 56526 68958 72789 84789 145578 169578 178999 218367 254367 357998 436734 508734 536997 655101 1073994 1310202 1610991 3221982 4832973 9665946 12030617 24061234 36091851 72183702 108275553 216551106 228581723 324826659 457163446 649653318 685745169 1371490338 2057235507 4114471014 6171706521 12343413042