Search a number
-
+
424444440330 = 232519301982217
BaseRepresentation
bin1100010110100101101…
…11000010111100001010
31111120120021002121012200
412023102313002330022
523423230234042310
6522553113221030
742444062133621
oct6132267027412
91446507077180
10424444440330
111540079041a9
126a315701776
1331042a38911
14167868506b8
15b09292a9c0
hex62d2dc2f0a

424444440330 has 96 divisors (see below), whose sum is σ = 1162036324800. Its totient is φ = 107191247616.

The previous prime is 424444440317. The next prime is 424444440347. The reversal of 424444440330 is 33044444424.

424444440330 is a `hidden beast` number, since 4 + 244 + 4 + 4 + 4 + 403 + 3 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5121382 + ... + 5203598.

It is an arithmetic number, because the mean of its divisors is an integer number (12104545050).

Almost surely, 2424444440330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424444440330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581018162400).

424444440330 is an abundant number, since it is smaller than the sum of its proper divisors (737591884470).

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

424444440330 is a wasteful number, since it uses less digits than its factorization.

424444440330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85268 (or 85265 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 424444440330 its reverse (33044444424), we get a palindrome (457488884754).

The spelling of 424444440330 in words is "four hundred twenty-four billion, four hundred forty-four million, four hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 3019 6038 9057 15095 18114 27171 30190 45285 54342 57361 82217 90570 114722 135855 164434 172083 246651 271710 286805 344166 411085 493302 516249 573610 739953 822170 860415 1032498 1233255 1479906 1562123 1720830 2466510 2581245 3124246 3699765 4686369 5162490 7399530 7810615 9372738 14059107 15621230 23431845 28118214 46863690 70295535 140591070 248213123 496426246 744639369 1241065615 1489278738 2233918107 2482131230 3723196845 4467836214 4716049337 7446393690 9432098674 11169590535 14148148011 22339181070 23580246685 28296296022 42444444033 47160493370 70740740055 84888888066 141481480110 212222220165 424444440330