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12346543411242 = 23371493359111121
BaseRepresentation
bin1011001110101010011101…
…0101011001000000101010
31121201022120211122101210120
42303222213111121000222
53104241210103124432
642131531310024110
72413002566264355
oct263524725310052
947638524571716
1012346543411242
113a30159977927
121474a144a8036
136b7374111001
1430980c35329c
1516626678ec2c
hexb3aa755902a

12346543411242 has 64 divisors (see below), whose sum is σ = 25538502528000. Its totient is φ = 3976190069760.

The previous prime is 12346543411217. The next prime is 12346543411259. The reversal of 12346543411242 is 24211434564321.

It is a junction number, because it is equal to n+sod(n) for n = 12346543411194 and 12346543411203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111053442 + ... + 111164562.

It is an arithmetic number, because the mean of its divisors is an integer number (399039102000).

Almost surely, 212346543411242 is an apocalyptic number.

12346543411242 is an abundant number, since it is smaller than the sum of its proper divisors (13191959116758).

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

12346543411242 is a wasteful number, since it uses less digits than its factorization.

12346543411242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114671.

The product of its digits is 552960, while the sum is 42.

Adding to 12346543411242 its reverse (24211434564321), we get a palindrome (36557977975563).

The spelling of 12346543411242 in words is "twelve trillion, three hundred forty-six billion, five hundred forty-three million, four hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 37 74 111 149 222 298 447 894 3359 5513 6718 10077 11026 16539 20154 33078 111121 124283 222242 248566 333363 372849 500491 666726 745698 1000982 1501473 3002946 4111477 8222954 12334431 16557029 18518167 24668862 33114058 37036334 49671087 55554501 99342174 111109002 373255439 612610073 746510878 1119766317 1225220146 1837830219 2239532634 3675660438 13810451243 27620902486 41431353729 55615060411 82862707458 111230120822 166845181233 333690362466 2057757235207 4115514470414 6173271705621 12346543411242