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30220242144 = 253535939513
BaseRepresentation
bin11100001001010001…
…000100110011100000
32220000002201100210120
4130021101010303200
5443342340222034
621514420400240
72116612551141
oct341121046340
986002640716
1030220242144
11118a85a2234
125a34846080
132b07bb8ab1
1416697b9ac8
15bbd130c49
hex709444ce0

30220242144 has 48 divisors (see below), whose sum is σ = 80824906512. Its totient is φ = 9883347968.

The previous prime is 30220242139. The next prime is 30220242161. The reversal of 30220242144 is 44124202203.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2964669 + ... + 2974844.

It is an arithmetic number, because the mean of its divisors is an integer number (1683852219).

Almost surely, 230220242144 is an apocalyptic number.

It is an amenable number.

30220242144 is an abundant number, since it is smaller than the sum of its proper divisors (50604664368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30220242144 is a wasteful number, since it uses less digits than its factorization.

30220242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939579 (or 5939571 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30220242144 its reverse (44124202203), we get a palindrome (74344444347).

The spelling of 30220242144 in words is "thirty billion, two hundred twenty million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 5939513 11879026 17818539 23758052 35637078 47516104 71274156 95032208 142548312 190064416 285096624 314794189 570193248 629588378 944382567 1259176756 1888765134 2518353512 3777530268 5036707024 7555060536 10073414048 15110121072 30220242144