| Base | Representation |
|---|---|
| bin | 11010010011100110… |
| … | …01111110001110100 |
| 3 | 1100110021001102111000 |
| 4 | 31021303033301310 |
| 5 | 212411001311003 |
| 6 | 10253230243300 |
| 7 | 1006661064600 |
| oct | 151163176164 |
| 9 | 40407042430 |
| 10 | 14123072628 |
| 11 | 5a98119555 |
| 12 | 28a1956530 |
| 13 | 1440c70512 |
| 14 | 97d992500 |
| 15 | 579d441a3 |
| hex | 349ccfc74 |
14123072628 has 576 divisors, whose sum is σ = 48538828800. Its totient is φ = 3520661760.
The previous prime is 14123072627. The next prime is 14123072671. The reversal of 14123072628 is 82627032141.
It is a happy number.
14123072628 is a `hidden beast` number, since 1 + 4 + 1 + 23 + 0 + 7 + 2 + 628 = 666.
It is a super-2 number, since 2×141230726282 (a number of 21 digits) contains 22 as substring.
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 = 14123072592 and 14123072601.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14123072627) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 71690626 + ... + 71690822.
It is an arithmetic number, because the mean of its divisors is an integer number (84268800).
Almost surely, 214123072628 is an apocalyptic number.
14123072628 is a gapful number since it is divisible by the number (18) 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 14123072628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269414400).
14123072628 is an abundant number, since it is smaller than the sum of its proper divisors (34415756172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14123072628 is a wasteful number, since it uses less digits than its factorization.
14123072628 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 297 (or 282 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 14123072628 in words is "fourteen billion, one hundred twenty-three million, seventy-two thousand, six hundred twenty-eight".
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