| Base | Representation |
|---|---|
| bin | 11000111111000111… |
| … | …00101101010100000 |
| 3 | 1021121212102022101000 |
| 4 | 30133203211222200 |
| 5 | 204433031344041 |
| 6 | 10055031312000 |
| 7 | 653263610640 |
| oct | 143743455240 |
| 9 | 37555368330 |
| 10 | 13414324896 |
| 11 | 5764044925 |
| 12 | 272451b600 |
| 13 | 135a18a56b |
| 14 | 9137bc520 |
| 15 | 5379e4bb6 |
| hex | 31f8e5aa0 |
13414324896 has 384 divisors, whose sum is σ = 46820229120. Its totient is φ = 3656448000.
The previous prime is 13414324817. The next prime is 13414324897. The reversal of 13414324896 is 69842341431.
13414324896 is a `hidden beast` number, since 134 + 1 + 4 + 32 + 489 + 6 = 666.
13414324896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×134143248962 (a number of 21 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (13414324897) 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 63 ways as a sum of consecutive naturals, for example, 11653921 + ... + 11655071.
It is an arithmetic number, because the mean of its divisors is an integer number (121927680).
Almost surely, 213414324896 is an apocalyptic number.
13414324896 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 13414324896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410114560).
13414324896 is an abundant number, since it is smaller than the sum of its proper divisors (33405904224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13414324896 is a wasteful number, since it uses less digits than its factorization.
13414324896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1265 (or 1251 counting only the distinct ones).
The product of its digits is 497664, while the sum is 45.
The spelling of 13414324896 in words is "thirteen billion, four hundred fourteen million, three hundred twenty-four thousand, eight hundred ninety-six".
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