| Base | Representation |
|---|---|
| bin | 1011001111000000010101… |
| … | …0000010011101001010000 |
| 3 | 1121201212201222101111111000 |
| 4 | 2303300011100103221100 |
| 5 | 3104340221002313034 |
| 6 | 42134342023222000 |
| 7 | 2413301223326202 |
| oct | 263600520235120 |
| 9 | 47655658344430 |
| 10 | 12352414104144 |
| 11 | 3a326a180a344 |
| 12 | 1475b925a7900 |
| 13 | 6b7a9b4747aa |
| 14 | 309c07d02772 |
| 15 | 1664abd84599 |
| hex | b3c05413a50 |
12352414104144 has 320 divisors, whose sum is σ = 37945396339200. Its totient is φ = 3840109056000.
The previous prime is 12352414104143. The next prime is 12352414104161. The reversal of 12352414104144 is 44140141425321.
12352414104144 is a `hidden beast` number, since 1 + 2 + 3 + 524 + 14 + 104 + 14 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12352414104099 and 12352414104108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12352414104143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51759397 + ... + 51997499.
It is an arithmetic number, because the mean of its divisors is an integer number (118579363560).
Almost surely, 212352414104144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12352414104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972698169600).
12352414104144 is an abundant number, since it is smaller than the sum of its proper divisors (25592982235056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12352414104144 is a wasteful number, since it uses less digits than its factorization.
12352414104144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238291 (or 238279 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Adding to 12352414104144 its reverse (44140141425321), we get a palindrome (56492555529465).
The spelling of 12352414104144 in words is "twelve trillion, three hundred fifty-two billion, four hundred fourteen million, one hundred four thousand, one hundred forty-four".
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