| Base | Representation |
|---|---|
| bin | 1111001001001111… |
| … | …00000100010100000 |
| 3 | 202222122000200122000 |
| 4 | 13210213200202200 |
| 5 | 113122403420230 |
| 6 | 3422441244000 |
| 7 | 405324234315 |
| oct | 74447404240 |
| 9 | 22878020560 |
| 10 | 8130529440 |
| 11 | 34a2521120 |
| 12 | 16aaa93600 |
| 13 | 9c75b5887 |
| 14 | 571b64d0c |
| 15 | 328bd0b60 |
| hex | 1e49e08a0 |
8130529440 has 768 divisors, whose sum is σ = 33338511360. Its totient is φ = 1830850560.
The previous prime is 8130529409. The next prime is 8130529469. The reversal of 8130529440 is 449250318.
It is a super-2 number, since 2×81305294402 (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 = 8130529395 and 8130529404.
It is an unprimeable number.
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 127 ways as a sum of consecutive naturals, for example, 46997194 + ... + 46997366.
It is an arithmetic number, because the mean of its divisors is an integer number (43409520).
Almost surely, 28130529440 is an apocalyptic number.
8130529440 is a gapful number since it is divisible by the number (80) 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 8130529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669255680).
8130529440 is an abundant number, since it is smaller than the sum of its proper divisors (25207981920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8130529440 is a wasteful number, since it uses less digits than its factorization.
8130529440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 274 (or 260 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 8130529440 is about 90169.4484845061. The cubic root of 8130529440 is about 2010.8188243275.
Adding to 8130529440 its reverse (449250318), we get a palindrome (8579779758).
The spelling of 8130529440 in words is "eight billion, one hundred thirty million, five hundred twenty-nine thousand, four hundred forty".
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