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440440140 = 223571997569
BaseRepresentation
bin11010010000001…
…001010101001100
31010200202200021210
4122100021111030
51400223041030
6111412054420
713625452020
oct3220112514
91120680253
10440440140
11206687218
12103604410
137033058a
14426d0380
1528a00bb0
hex1a40954c

440440140 has 192 divisors, whose sum is σ = 1501516800. Its totient is φ = 94224384.

The previous prime is 440440129. The next prime is 440440153. The reversal of 440440140 is 41044044.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 773776 + ... + 774344.

It is an arithmetic number, because the mean of its divisors is an integer number (7820400).

Almost surely, 2440440140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750758400).

440440140 is an abundant number, since it is smaller than the sum of its proper divisors (1061076660).

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

440440140 is a wasteful number, since it uses less digits than its factorization.

440440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 440440140 is about 20986.6657666243. The cubic root of 440440140 is about 760.8440184681.

Adding to 440440140 its reverse (41044044), we get a palindrome (481484184).

It can be divided in two parts, 4404 and 40140, that added together give a palindrome (44544).

The spelling of 440440140 in words is "four hundred forty million, four hundred forty thousand, one hundred forty".