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44244422444244 = 223111097514094663
BaseRepresentation
bin10100000111101011101010…
…00101010100010011010100
312210122201120212120101020210
422003311311011110103110
521244400034121203434
6234033335043325420
712214361014412121
oct1203656505242324
9183581525511223
1044244422444244
1113108a55024780
124b66a47680870
131b8c300a55719
14acd627585748
1551ad74001ee9
hex283d751544d4

44244422444244 has 96 divisors (see below), whose sum is σ = 113806763642880. Its totient is φ = 13266704880000.

The previous prime is 44244422444221. The next prime is 44244422444251.

It is a happy number.

44244422444244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442444224442443 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44244422444193 and 44244422444202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8758057 + ... + 12852719.

It is an arithmetic number, because the mean of its divisors is an integer number (1185487121280).

Almost surely, 244244422444244 is an apocalyptic number.

44244422444244 is a gapful number since it is divisible by the number (44) 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 44244422444244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56903381821440).

44244422444244 is an abundant number, since it is smaller than the sum of its proper divisors (69562341198636).

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

44244422444244 is a wasteful number, since it uses less digits than its factorization.

44244422444244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095541 (or 4095539 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 48.

It can be divided in two parts, 4424442 and 2444244, that added together give a palindrome (6868686).

The spelling of 44244422444244 in words is "forty-four trillion, two hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 751 1199 1308 1502 2253 2398 3004 3597 4506 4796 7194 8261 9012 14388 16522 24783 33044 49566 81859 99132 163718 245577 327436 491154 900449 982308 1800898 2701347 3601796 4094663 5402694 8189326 10805388 12283989 16378652 24567978 45041293 49135956 90082586 135123879 180165172 270247758 446318267 540495516 892636534 1338954801 1785273068 2677909602 3075091913 4909500937 5355819204 6150183826 9225275739 9819001874 12300367652 14728502811 18450551478 19638003748 29457005622 33826011043 36901102956 58914011244 67652022086 101478033129 135304044172 202956066258 335185018517 405912132516 670370037034 1005555055551 1340740074068 2011110111102 3687035203687 4022220222204 7374070407374 11061105611061 14748140814748 22122211222122 44244422444244