| Base | Representation |
|---|---|
| bin | 11010010100011001… |
| … | …01001110010000000 |
| 3 | 1100110201120210102200 |
| 4 | 31022030221302000 |
| 5 | 212414202421421 |
| 6 | 10254025113200 |
| 7 | 1010101514040 |
| oct | 151214516200 |
| 9 | 40421523380 |
| 10 | 14129732736 |
| 11 | 5aa0958379 |
| 12 | 28a4028800 |
| 13 | 1442462b02 |
| 14 | 980807720 |
| 15 | 57a70c726 |
| hex | 34a329c80 |
14129732736 has 192 divisors, whose sum is σ = 48914548800. Its totient is φ = 3824547840.
The previous prime is 14129732731. The next prime is 14129732741. The reversal of 14129732736 is 63723792141.
14129732736 is a `hidden beast` number, since 1 + 4 + 1 + 297 + 327 + 36 = 666.
It is an interprime number because it is at equal distance from previous prime (14129732731) and next prime (14129732741).
It is a tau number, because it is divible by the number of its divisors (192).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 14129732691 and 14129732700.
It is not an unprimeable number, because it can be changed into a prime (14129732731) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107106 + ... + 199326.
It is an arithmetic number, because the mean of its divisors is an integer number (254763275).
Almost surely, 214129732736 is an apocalyptic number.
14129732736 is a gapful number since it is divisible by the number (16) 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 14129732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457274400).
14129732736 is an abundant number, since it is smaller than the sum of its proper divisors (34784816064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14129732736 is a wasteful number, since it uses less digits than its factorization.
14129732736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92267 (or 92252 counting only the distinct ones).
The product of its digits is 381024, while the sum is 45.
The spelling of 14129732736 in words is "fourteen billion, one hundred twenty-nine million, seven hundred thirty-two thousand, seven hundred thirty-six".
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