Base | Representation |
---|---|
bin | 1101011100101101… |
… | …01010000101100000 |
3 | 200122011222020102200 |
4 | 12232112222011200 |
5 | 104241324024212 |
6 | 3152240413200 |
7 | 343631124636 |
oct | 65626520540 |
9 | 20564866380 |
10 | 7220142432 |
11 | 3075644968 |
12 | 1496017200 |
13 | 8b0ac3439 |
14 | 4c6ca3356 |
15 | 2c3d016dc |
hex | 1ae5aa160 |
7220142432 has 144 divisors (see below), whose sum is σ = 20886727680. Its totient is φ = 2365459200.
The previous prime is 7220142431. The next prime is 7220142487. The reversal of 7220142432 is 2342410227.
7220142432 is a `hidden beast` number, since 7 + 2 + 201 + 424 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 7220142396 and 7220142405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7220142431) 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, 6165207 + ... + 6166377.
It is an arithmetic number, because the mean of its divisors is an integer number (145046720).
Almost surely, 27220142432 is an apocalyptic number.
7220142432 is a gapful number since it is divisible by the number (72) 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 7220142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443363840).
7220142432 is an abundant number, since it is smaller than the sum of its proper divisors (13666585248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7220142432 is a wasteful number, since it uses less digits than its factorization.
7220142432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1537 (or 1526 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 27.
The square root of 7220142432 is about 84971.4212662116. The cubic root of 7220142432 is about 1932.7777689713. Note that the first 4 decimals are identical.
Adding to 7220142432 its reverse (2342410227), we get a palindrome (9562552659).
The spelling of 7220142432 in words is "seven billion, two hundred twenty million, one hundred forty-two thousand, four hundred thirty-two".
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