| Base | Representation |
|---|---|
| bin | 10011010011110001… |
| … | …10011101101100000 |
| 3 | 222202110021102021100 |
| 4 | 21221320303231200 |
| 5 | 132212301343034 |
| 6 | 4432352354400 |
| 7 | 514614144033 |
| oct | 115170635540 |
| 9 | 28673242240 |
| 10 | 10366434144 |
| 11 | 443a644450 |
| 12 | 2013845a00 |
| 13 | c928a8a01 |
| 14 | 704aab01a |
| 15 | 40a141099 |
| hex | 269e33b60 |
10366434144 has 144 divisors (see below), whose sum is σ = 33557981184. Its totient is φ = 3004742400.
The previous prime is 10366434103. The next prime is 10366434149. The reversal of 10366434144 is 44143466301.
10366434144 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 643 + 4 + 1 + 4 + 4 = 666.
10366434144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 10366434099 and 10366434108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10366434149) 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 23 ways as a sum of consecutive naturals, for example, 1729 + ... + 143999.
It is an arithmetic number, because the mean of its divisors is an integer number (233041536).
Almost surely, 210366434144 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 10366434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778990592).
10366434144 is an abundant number, since it is smaller than the sum of its proper divisors (23191547040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10366434144 is a wasteful number, since it uses less digits than its factorization.
10366434144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142321 (or 142310 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The spelling of 10366434144 in words is "ten billion, three hundred sixty-six million, four hundred thirty-four thousand, one hundred forty-four".
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