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12343205142 = 233477396581
BaseRepresentation
bin10110111111011011…
…00101110100010110
31011212012220210022000
423133231211310112
5200234330031032
65400445420130
7614606340552
oct133755456426
934765823260
1012343205142
115264465794
12248586a646
1312192abca8
1485143a862
154c3965e7c
hex2dfb65d16

12343205142 has 64 divisors (see below), whose sum is σ = 28055116800. Its totient is φ = 4020801120.

The previous prime is 12343205123. The next prime is 12343205167. The reversal of 12343205142 is 24150234321.

12343205142 is a `hidden beast` number, since 123 + 4 + 3 + 20 + 514 + 2 = 666.

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

It is a congruent number.

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, 1872292 + ... + 1878872.

It is an arithmetic number, because the mean of its divisors is an integer number (438361200).

Almost surely, 212343205142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343205142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027558400).

12343205142 is an abundant number, since it is smaller than the sum of its proper divisors (15711911658).

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

12343205142 is a wasteful number, since it uses less digits than its factorization.

12343205142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12343205142 its reverse (24150234321), we get a palindrome (36493439463).

The spelling of 12343205142 in words is "twelve billion, three hundred forty-three million, two hundred five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 739 846 1269 1478 2217 2538 4434 6581 6651 13162 13302 19743 19953 34733 39486 39906 59229 69466 104199 118458 177687 208398 309307 312597 355374 618614 625194 927921 937791 1855842 1875582 2783763 4863359 5567526 8351289 9726718 14590077 16702578 29180154 43770231 87540462 131310693 228577873 262621386 457155746 685733619 1371467238 2057200857 4114401714 6171602571 12343205142