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2444014120 = 235162137693
BaseRepresentation
bin1001000110101100…
…1011001000101000
320022022211210002111
42101223023020220
520001131422440
61042303412104
7114364530412
oct22153131050
96268753074
102444014120
111044644a89
125825b4034
132cc459602
141928399b2
15e486c4ea
hex91acb228

2444014120 has 32 divisors (see below), whose sum is σ = 5502570120. Its totient is φ = 976976640.

The previous prime is 2444014087. The next prime is 2444014127. The reversal of 2444014120 is 214104442.

It can be written as a sum of positive squares in 4 ways, for example, as 1855369476 + 588644644 = 43074^2 + 24262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2444014091 and 2444014100.

It is not an unprimeable number, because it can be changed into a prime (2444014127) by changing a digit.

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, 45994 + ... + 83686.

Almost surely, 22444014120 is an apocalyptic number.

2444014120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444014120 is an abundant number, since it is smaller than the sum of its proper divisors (3058556000).

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

2444014120 is a wasteful number, since it uses less digits than its factorization.

2444014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39325 (or 39321 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2444014120 is about 49436.9711855409. The cubic root of 2444014120 is about 1347.0009547638. Note that the first 3 decimals are identical.

Adding to 2444014120 its reverse (214104442), we get a palindrome (2658118562).

The spelling of 2444014120 in words is "two billion, four hundred forty-four million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1621 3242 6484 8105 12968 16210 32420 37693 64840 75386 150772 188465 301544 376930 753860 1507720 61100353 122200706 244401412 305501765 488802824 611003530 1222007060 2444014120