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440449313922 = 23219282332
BaseRepresentation
bin1100110100011001101…
…00110010110010000010
31120002212200002102022200
412122030310302302002
524204020011021142
6534201205214030
743551513252642
oct6321464626202
91502780072280
10440449313922
1115a880178662
1271441701316
13326c380a217
14174642d0522
15b6cca8564c
hex668cd32c82

440449313922 has 54 divisors (see below), whose sum is σ = 1007299381257. Its totient is φ = 139072362912.

The previous prime is 440449313879. The next prime is 440449313923. The reversal of 440449313922 is 229313944044.

440449313922 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 493 + 139 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394345064961 + 46104248961 = 627969^2 + 214719^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=469281.

It is not an unprimeable number, because it can be changed into a prime (440449313923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53493918 + ... + 53502150.

Almost surely, 2440449313922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440449313922

440449313922 is an abundant number, since it is smaller than the sum of its proper divisors (566850067335).

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

440449313922 is an frugal number, since it uses more digits than its factorization.

440449313922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16512 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 440449313922 in words is "four hundred forty billion, four hundred forty-nine million, three hundred thirteen thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 8233 16466 24699 49398 74097 148194 156427 312854 469281 938562 1407843 2815686 2972113 5944226 8916339 17832678 26749017 53498034 67782289 135564578 203346867 406693734 610040601 1220081202 1287863491 2575726982 3863590473 7727180946 11590771419 23181542838 24469406329 48938812658 73408218987 146816437974 220224656961 440449313922