Base | Representation |
---|---|
bin | 10110110010001101… |
… | …01101100111000000 |
3 | 1011120111022202211100 |
4 | 23121012231213000 |
5 | 200022440201034 |
6 | 5341445414400 |
7 | 612062155260 |
oct | 133106554700 |
9 | 34514282740 |
10 | 12232350144 |
11 | 520792a793 |
12 | 245470a400 |
13 | 11cc337711 |
14 | 8408217a0 |
15 | 4b8d6a099 |
hex | 2d91ad9c0 |
12232350144 has 168 divisors, whose sum is σ = 40121888768. Its totient is φ = 3490490880.
The previous prime is 12232350089. The next prime is 12232350149. The reversal of 12232350144 is 44105323221.
12232350144 is a `hidden beast` number, since 122 + 32 + 3 + 501 + 4 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (168).
It is a zygodrome in base 13.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12232350149) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4381389 + ... + 4384179.
Almost surely, 212232350144 is an apocalyptic number.
12232350144 is a gapful number since it is divisible by the number (14) 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 12232350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20060944384).
12232350144 is an abundant number, since it is smaller than the sum of its proper divisors (27889538624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12232350144 is a wasteful number, since it uses less digits than its factorization.
12232350144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3903 (or 3890 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 12232350144 its reverse (44105323221), we get a palindrome (56337673365).
The spelling of 12232350144 in words is "twelve billion, two hundred thirty-two million, three hundred fifty thousand, one hundred forty-four".
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