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2440441040 = 24542417193
BaseRepresentation
bin1001000101110110…
…0010110011010000
320022002010020202012
42101131202303100
514444223103130
61042055042052
7114322256312
oct22135426320
96262106665
102440441040
111042624524
12581370328
132cb7a816b
141921897b2
15e43b3995
hex91762cd0

2440441040 has 40 divisors (see below), whose sum is σ = 5676152328. Its totient is φ = 975810560.

The previous prime is 2440441037. The next prime is 2440441063. The reversal of 2440441040 is 401440442.

It can be written as a sum of positive squares in 4 ways, for example, as 345365056 + 2095075984 = 18584^2 + 45772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2440440997 and 2440441015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335684 + ... + 342876.

Almost surely, 22440441040 is an apocalyptic number.

2440441040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440441040 is an abundant number, since it is smaller than the sum of its proper divisors (3235711288).

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

2440441040 is a wasteful number, since it uses less digits than its factorization.

2440441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2440441040 is about 49400.8202361054. The cubic root of 2440441040 is about 1346.3442087572.

Adding to 2440441040 its reverse (401440442), we get a palindrome (2841881482).

The spelling of 2440441040 in words is "two billion, four hundred forty million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4241 7193 8482 14386 16964 21205 28772 33928 35965 42410 57544 67856 71930 84820 115088 143860 169640 287720 339280 575440 30505513 61011026 122022052 152527565 244044104 305055130 488088208 610110260 1220220520 2440441040