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4444122330 = 2325239292311
BaseRepresentation
bin1000010001110001…
…11110110011011010
3102110201101210202100
410020320332303122
533100143403310
62012552544230
7215062262604
oct41070766332
912421353670
104444122330
11198065597a
12a403b2076
1355a940cab
14302322174
151b0251ec0
hex108e3ecda

4444122330 has 96 divisors (see below), whose sum is σ = 12075298560. Its totient is φ = 1131863040.

The previous prime is 4444122289. The next prime is 4444122341. The reversal of 4444122330 is 332214444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4444122294 and 4444122303.

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 47 ways as a sum of consecutive naturals, for example, 1921875 + ... + 1924185.

It is an arithmetic number, because the mean of its divisors is an integer number (125784360).

Almost surely, 24444122330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037649280).

4444122330 is an abundant number, since it is smaller than the sum of its proper divisors (7631176230).

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

4444122330 is a wasteful number, since it uses less digits than its factorization.

4444122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4444122330 is about 66664.2507645590. The cubic root of 4444122330 is about 1644.1016618007.

Adding to 4444122330 its reverse (332214444), we get a palindrome (4776336774).

The spelling of 4444122330 in words is "four billion, four hundred forty-four million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 929 1035 1858 2070 2311 2787 4622 4645 5574 6933 8361 9290 11555 13866 13935 16722 20799 21367 23110 27870 34665 41598 41805 42734 53153 64101 69330 83610 103995 106306 106835 128202 159459 192303 207990 213670 265765 318918 320505 384606 478377 531530 641010 797295 956754 961515 1594590 1923030 2146919 2391885 4293838 4783770 6440757 10734595 12881514 19322271 21469190 32203785 38644542 49379137 64407570 96611355 98758274 148137411 193222710 246895685 296274822 444412233 493791370 740687055 888824466 1481374110 2222061165 4444122330