Search a number
-
+
12430043111232 = 2632193073699629
BaseRepresentation
bin1011010011100001100001…
…0011011101111101000000
31122000022010002001122122200
42310320120103131331000
53112123212014024412
642234141042233200
72422020025106055
oct264703023357500
948008102048580
1012430043111232
113a6260831634a
121489038355800
136c21c0308a06
1430d88dc0d02c
1516850210b9dc
hexb4e184ddf40

12430043111232 has 168 divisors, whose sum is σ = 37625829040800. Its totient is φ = 3912489796608.

The previous prime is 12430043111219. The next prime is 12430043111243. The reversal of 12430043111232 is 23211134003421.

12430043111232 is a `hidden beast` number, since 1 + 2 + 4 + 300 + 4 + 311 + 12 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12430043111196 and 12430043111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509994 + ... + 5209622.

It is an arithmetic number, because the mean of its divisors is an integer number (223963268100).

Almost surely, 212430043111232 is an apocalyptic number.

12430043111232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430043111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18812914520400).

12430043111232 is an abundant number, since it is smaller than the sum of its proper divisors (25195785929568).

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

12430043111232 is a wasteful number, since it uses less digits than its factorization.

12430043111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699973 (or 3699960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12430043111232 its reverse (23211134003421), we get a palindrome (35641177114653).

The spelling of 12430043111232 in words is "twelve trillion, four hundred thirty billion, forty-three million, one hundred eleven thousand, two hundred thirty-two".