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440445144 = 233831271741
BaseRepresentation
bin11010010000001…
…010100011011000
31010200202221011010
4122100022203120
51400223221034
6111412133520
713625502426
oct3220124330
91120687133
10440445144
1120668aa57
121036072a0
1370332939
14426d2116
1528a023e9
hex1a40a8d8

440445144 has 64 divisors (see below), whose sum is σ = 1123799040. Its totient is φ = 143821440.

The previous prime is 440445139. The next prime is 440445157. The reversal of 440445144 is 441544044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252114 + ... + 253854.

It is an arithmetic number, because the mean of its divisors is an integer number (17559360).

Almost surely, 2440445144 is an apocalyptic number.

It is an amenable number.

440445144 is an abundant number, since it is smaller than the sum of its proper divisors (683353896).

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

440445144 is a wasteful number, since it uses less digits than its factorization.

440445144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 440445144 is about 20986.7849848422. The cubic root of 440445144 is about 760.8468998654.

Adding to 440445144 its reverse (441544044), we get a palindrome (881989188).

The spelling of 440445144 in words is "four hundred forty million, four hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 83 127 166 249 254 332 381 498 508 664 762 996 1016 1524 1741 1992 3048 3482 5223 6964 10446 10541 13928 20892 21082 31623 41784 42164 63246 84328 126492 144503 221107 252984 289006 433509 442214 578012 663321 867018 884428 1156024 1326642 1734036 1768856 2653284 3468072 5306568 18351881 36703762 55055643 73407524 110111286 146815048 220222572 440445144