Base | Representation |
---|---|
bin | 11011111101100100… |
… | …111100000001001000 |
3 | 2212111102200110010211 |
4 | 123331210330001020 |
5 | 442442133404230 |
6 | 21443133050504 |
7 | 2112011554444 |
oct | 337544740110 |
9 | 85442613124 |
10 | 30024122440 |
11 | 1180791a634 |
12 | 599b026a34 |
13 | 2aa638ca30 |
14 | 164b727824 |
15 | baace142a |
hex | 6fd93c048 |
30024122440 has 64 divisors (see below), whose sum is σ = 72980656560. Its totient is φ = 11050798080.
The previous prime is 30024122419. The next prime is 30024122483. The reversal of 30024122440 is 4422142003.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 6250799844 + 23773322596 = 79062^2 + 154186^2 .
It is a super-2 number, since 2×300241224402 (a number of 22 digits) contains 22 as substring.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 73770 + ... + 255910.
Almost surely, 230024122440 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30024122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36490328280).
30024122440 is an abundant number, since it is smaller than the sum of its proper divisors (42956534120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30024122440 is a wasteful number, since it uses less digits than its factorization.
30024122440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182482 (or 182478 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
Adding to 30024122440 its reverse (4422142003), we get a palindrome (34446264443).
The spelling of 30024122440 in words is "thirty billion, twenty-four million, one hundred twenty-two thousand, four hundred forty".
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