| Base | Representation |
|---|---|
| bin | 1100101101110000… |
| … | …0100000010011000 |
| 3 | 22210212102001002200 |
| 4 | 3023130010002120 |
| 5 | 23442230201131 |
| 6 | 1322403130200 |
| 7 | 150403065312 |
| oct | 31334040230 |
| 9 | 8725361080 |
| 10 | 3413131416 |
| 11 | 14a1695172 |
| 12 | 7b3073960 |
| 13 | 425172ab6 |
| 14 | 2454287b2 |
| 15 | 14e99d2e6 |
| hex | cb704098 |
3413131416 has 96 divisors (see below), whose sum is σ = 9358221600. Its totient is φ = 1123729920.
The previous prime is 3413131363. The next prime is 3413131417. The reversal of 3413131416 is 6141313143.
3413131416 is a `hidden beast` number, since 341 + 3 + 1 + 314 + 1 + 6 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 3413131416.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3413131417) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2258101 + ... + 2259611.
It is an arithmetic number, because the mean of its divisors is an integer number (97481475).
Almost surely, 23413131416 is an apocalyptic number.
3413131416 is a gapful number since it is divisible by the number (36) 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 3413131416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679110800).
3413131416 is an abundant number, since it is smaller than the sum of its proper divisors (5945090184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3413131416 is a wasteful number, since it uses less digits than its factorization.
3413131416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 3413131416 is about 58422.0113998140. The cubic root of 3413131416 is about 1505.6279563296.
Adding to 3413131416 its reverse (6141313143), we get a palindrome (9554444559).
The spelling of 3413131416 in words is "three billion, four hundred thirteen million, one hundred thirty-one thousand, four hundred sixteen".
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