Search a number
-
+
4044400404444 = 2233119331389901
BaseRepresentation
bin111010110110101001000…
…011001010011111011100
3112022122022012212221112000
4322312221003022133130
51012230413000420234
612333545532442300
7565125004135311
oct72665103123734
915278265787460
104044400404444
11131a2476556a4
125539b9619390
132345017230ba
14dda700ccd08
157030de5a899
hex3ada90ca7dc

4044400404444 has 48 divisors (see below), whose sum is σ = 10494272036640. Its totient is φ = 1347003388800.

The previous prime is 4044400404403. The next prime is 4044400404463. The reversal of 4044400404444 is 4444040044404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4044400404399 and 4044400404408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15566107 + ... + 15823794.

It is an arithmetic number, because the mean of its divisors is an integer number (218630667430).

Almost surely, 24044400404444 is an apocalyptic number.

It is an amenable number.

4044400404444 is an abundant number, since it is smaller than the sum of its proper divisors (6449871632196).

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

4044400404444 is a wasteful number, since it uses less digits than its factorization.

4044400404444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31391107 (or 31391099 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4044400404444 its reverse (4444040044404), we get a palindrome (8488440448848).

The spelling of 4044400404444 in words is "four trillion, forty-four billion, four hundred million, four hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1193 2386 3579 4772 7158 10737 14316 21474 32211 42948 64422 128844 31389901 62779802 94169703 125559604 188339406 282509109 376678812 565018218 847527327 1130036436 1695054654 3390109308 37448151893 74896303786 112344455679 149792607572 224688911358 337033367037 449377822716 674066734074 1011100101111 1348133468148 2022200202222 4044400404444