Base | Representation |
---|---|
bin | 1000000010010001… |
… | …00110111010000000 |
3 | 102010122112221212201 |
4 | 10001020212322000 |
5 | 32313341013044 |
6 | 1552024002544 |
7 | 211622255314 |
oct | 40110467200 |
9 | 12118487781 |
10 | 4314001024 |
11 | 1914160903 |
12 | a04900454 |
13 | 5399b2238 |
14 | 2ccd2db44 |
15 | 1a3aec7d4 |
hex | 101226e80 |
4314001024 has 64 divisors (see below), whose sum is σ = 8961638400. Its totient is φ = 2065996800.
The previous prime is 4314001009. The next prime is 4314001037. The reversal of 4314001024 is 4201004134.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×43140010242 = 37221209670146097152, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 4314000992 and 4314001010.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466849 + ... + 475999.
It is an arithmetic number, because the mean of its divisors is an integer number (140025600).
Almost surely, 24314001024 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 4314001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480819200).
4314001024 is an abundant number, since it is smaller than the sum of its proper divisors (4647637376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4314001024 is a wasteful number, since it uses less digits than its factorization.
4314001024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9321 (or 9309 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 4314001024 is about 65681.0552899388. The cubic root of 4314001024 is about 1627.8963445203.
Adding to 4314001024 its reverse (4201004134), we get a palindrome (8515005158).
The spelling of 4314001024 in words is "four billion, three hundred fourteen million, one thousand, twenty-four".
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