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244334003120 = 24510492911511
BaseRepresentation
bin1110001110001101110…
…0010000001110110000
3212100200001112101120222
43203203130100032300
513000344001044440
6304125005352212
723436552521264
oct3434334201660
9770601471528
10244334003120
11946921a19a9
123b42ab68668
131a06b26800c
14bb7c1080a4
1565506aa2b5
hex38e37103b0

244334003120 has 40 divisors (see below), whose sum is σ = 568618293600. Its totient is φ = 97640399360.

The previous prime is 244334003093. The next prime is 244334003141. The reversal of 244334003120 is 21300433442.

244334003120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 244334003120.

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 7 ways as a sum of consecutive naturals, for example, 1371836 + ... + 1539675.

It is an arithmetic number, because the mean of its divisors is an integer number (14215457340).

Almost surely, 2244334003120 is an apocalyptic number.

244334003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244334003120 is an abundant number, since it is smaller than the sum of its proper divisors (324284290480).

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

244334003120 is a wasteful number, since it uses less digits than its factorization.

244334003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912573 (or 2912567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 244334003120 its reverse (21300433442), we get a palindrome (265634436562).

The spelling of 244334003120 in words is "two hundred forty-four billion, three hundred thirty-four million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1049 2098 4196 5245 8392 10490 16784 20980 41960 83920 2911511 5823022 11646044 14557555 23292088 29115110 46584176 58230220 116460440 232920880 3054175039 6108350078 12216700156 15270875195 24433400312 30541750390 48866800624 61083500780 122167001560 244334003120