| Base | Representation |
|---|---|
| bin | 111100000001101… |
| … | …0011010011011100 |
| 3 | 12012100221110220000 |
| 4 | 1320003103103130 |
| 5 | 13111104201140 |
| 6 | 531505454300 |
| 7 | 100624556160 |
| oct | 17003232334 |
| 9 | 5170843800 |
| 10 | 2014131420 |
| 11 | 943a19824 |
| 12 | 482641390 |
| 13 | 261384552 |
| 14 | 1516d6ca0 |
| 15 | bbc54a30 |
| hex | 780d34dc |
2014131420 has 240 divisors, whose sum is σ = 7376624640. Its totient is φ = 450458496.
The previous prime is 2014131397. The next prime is 2014131443. The reversal of 2014131420 is 241314102.
2014131420 is a `hidden beast` number, since 201 + 41 + 3 + 1 + 420 = 666.
It is an interprime number because it is at equal distance from previous prime (2014131397) and next prime (2014131443).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2014131393 and 2014131402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 531091 + ... + 534869.
It is an arithmetic number, because the mean of its divisors is an integer number (30735936).
Almost surely, 22014131420 is an apocalyptic number.
2014131420 is a gapful number since it is divisible by the number (20) 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 2014131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688312320).
2014131420 is an abundant number, since it is smaller than the sum of its proper divisors (5362493220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2014131420 is a wasteful number, since it uses less digits than its factorization.
2014131420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3854 (or 3843 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2014131420 is about 44879.0755252378. The cubic root of 2014131420 is about 1262.8815004964.
Adding to 2014131420 its reverse (241314102), we get a palindrome (2255445522).
The spelling of 2014131420 in words is "two billion, fourteen million, one hundred thirty-one thousand, four hundred twenty".
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