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12142344243024 = 243284321835021
BaseRepresentation
bin1011000010110001110000…
…0111011000011101010000
31120222210111211212212102100
42300230130013120131100
53042420010111234044
641454041013120400
72362153416062412
oct260543407303520
946883454785370
1012142344243024
1139615a2858476
121441326629100
136a1030b47918
142dd99a6b49b2
15160cb4852869
hexb0b1c1d8750

12142344243024 has 30 divisors (see below), whose sum is σ = 33981699513866. Its totient is φ = 4047448080960.

The previous prime is 12142344242993. The next prime is 12142344243059. The reversal of 12142344243024 is 42034244324121.

12142344243024 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 344 + 2 + 4 + 302 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12138729828624 + 3614414400 = 3484068^2 + 60120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12142344243024.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 42160917367 + ... + 42160917654.

Almost surely, 212142344243024 is an apocalyptic number.

It is an amenable number.

12142344243024 is an abundant number, since it is smaller than the sum of its proper divisors (21839355270842).

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

12142344243024 is a wasteful number, since it uses less digits than its factorization.

12142344243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84321835035 (or 84321835026 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12142344243024 its reverse (42034244324121), we get a palindrome (54176588567145).

The spelling of 12142344243024 in words is "twelve trillion, one hundred forty-two billion, three hundred forty-four million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84321835021 168643670042 252965505063 337287340084 505931010126 674574680168 758896515189 1011862020252 1349149360336 1517793030378 2023724040504 3035586060756 4047448081008 6071172121512 12142344243024