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440004000444 = 223375431182471
BaseRepresentation
bin1100110011100100100…
…10000011101010111100
31120001201122011011001220
412121302102003222330
524202112011003234
6534045100433340
743534465202631
oct6316222035274
91501648134056
10440004000444
1115a671872a98
1271338548850
1332652491718
14174210d2188
15b6a3920a49
hex6672483abc

440004000444 has 48 divisors (see below), whose sum is σ = 1054623929856. Its totient is φ = 142676942400.

The previous prime is 440004000413. The next prime is 440004000451. The reversal of 440004000444 is 444000400044.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2320129 + ... + 2502599.

It is an arithmetic number, because the mean of its divisors is an integer number (21971331872).

Almost surely, 2440004000444 is an apocalyptic number.

It is an amenable number.

440004000444 is an abundant number, since it is smaller than the sum of its proper divisors (614619929412).

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

440004000444 is a wasteful number, since it uses less digits than its factorization.

440004000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187946 (or 187944 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 440004000444 its reverse (444000400044), we get a palindrome (884004400488).

The spelling of 440004000444 in words is "four hundred forty billion, four million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 5431 10862 16293 21724 32586 65172 182471 200947 364942 401894 547413 602841 729884 803788 1094826 1205682 2189652 2411364 6751427 13502854 20254281 27005708 40508562 81017124 991000001 1982000002 2973000003 3964000004 5946000006 11892000012 36667000037 73334000074 110001000111 146668000148 220002000222 440004000444