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144441224021300 = 22528320398534849
BaseRepresentation
bin100000110101111001010111…
…110110010100010100110100
3200221102110001020202212120212
4200311321113312110110310
5122413011111322140200
61231111214323044552
742265351116430223
oct4065712766242464
9627373036685525
10144441224021300
11420291a74265a8
1214249815810758
136279997681a7b
142794dc7780cba
1511a73ab05a035
hex835e57d94534

144441224021300 has 72 divisors (see below), whose sum is σ = 317369421432000. Its totient is φ = 57052386334720.

The previous prime is 144441224021123. The next prime is 144441224021321. The reversal of 144441224021300 is 3120422144441.

144441224021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12656276 + ... + 21191124.

It is an arithmetic number, because the mean of its divisors is an integer number (4407908631000).

Almost surely, 2144441224021300 is an apocalyptic number.

144441224021300 is a gapful number since it is divisible by the number (10) 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 144441224021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158684710716000).

144441224021300 is an abundant number, since it is smaller than the sum of its proper divisors (172928197410700).

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

144441224021300 is a wasteful number, since it uses less digits than its factorization.

144441224021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536985 (or 8536978 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144441224021300 its reverse (3120422144441), we get a palindrome (147561646165741).

The spelling of 144441224021300 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-four million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2039 2075 4078 4150 8156 8300 10195 20390 40780 50975 101950 169237 203900 338474 676948 846185 1692370 3384740 4230925 8461850 8534849 16923700 17069698 34139396 42674245 85348490 170696980 213371225 426742450 708392467 853484900 1416784934 2833569868 3541962335 7083924670 14167849340 17402557111 17709811675 34805114222 35419623350 69610228444 70839246700 87012785555 174025571110 348051142220 435063927775 870127855550 1444412240213 1740255711100 2888824480426 5777648960852 7222061201065 14444122402130 28888244804260 36110306005325 72220612010650 144441224021300