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440242024024 = 231110397150021
BaseRepresentation
bin1100110100000000111…
…10000010111001011000
31120002100020001000001001
412122000132002321120
524203103424232044
6534124442234344
743543415314135
oct6320036027130
91502306030031
10440242024024
1115a7841666a0
12713a41b59b4
133268c89ca8a
141744497158c
15b6b978b2d4
hex6680782e58

440242024024 has 64 divisors (see below), whose sum is σ = 910192308480. Its totient is φ = 197959152000.

The previous prime is 440242024007. The next prime is 440242024049. The reversal of 440242024024 is 420420242044.

It is a junction number, because it is equal to n+sod(n) for n = 440242023983 and 440242024001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8776134 + ... + 8826154.

It is an arithmetic number, because the mean of its divisors is an integer number (14221754820).

Almost surely, 2440242024024 is an apocalyptic number.

440242024024 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 440242024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455096154240).

440242024024 is an abundant number, since it is smaller than the sum of its proper divisors (469950284456).

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

440242024024 is a wasteful number, since it uses less digits than its factorization.

440242024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51112 (or 51108 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 440242024024 its reverse (420420242044), we get a palindrome (860662266068).

The spelling of 440242024024 in words is "four hundred forty billion, two hundred forty-two million, twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 971 1133 1942 2266 3884 4532 7768 9064 10681 21362 42724 50021 85448 100013 100042 200026 200084 400052 400168 550231 800104 1100143 1100462 2200286 2200924 4400572 4401848 5152163 8801144 10304326 20608652 41217304 48570391 56673793 97140782 113347586 194281564 226695172 388563128 453390344 534274301 1068548602 2137097204 4274194408 5002750273 10005500546 20011001092 40022002184 55030253003 110060506006 220121012012 440242024024