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2001441440 = 25512509009
BaseRepresentation
bin111011101001011…
…1001001010100000
312011111001202111202
41313102321022200
513044332111230
6530333500332
7100411654145
oct16722711240
95144052452
102001441440
11937841639
1247a3416a8
1325b86049b
1414db523cc
15baa99a45
hex774b92a0

2001441440 has 24 divisors (see below), whose sum is σ = 4728405780. Its totient is φ = 800576512.

The previous prime is 2001441419. The next prime is 2001441443. The reversal of 2001441440 is 441441002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1798777744 + 202663696 = 42412^2 + 14236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2001441443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6254345 + ... + 6254664.

Almost surely, 22001441440 is an apocalyptic number.

2001441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001441440 is an abundant number, since it is smaller than the sum of its proper divisors (2726964340).

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

2001441440 is a wasteful number, since it uses less digits than its factorization.

2001441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509024 (or 12509016 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2001441440 is about 44737.4724364263. The cubic root of 2001441440 is about 1260.2236606403.

Adding to 2001441440 its reverse (441441002), we get a palindrome (2442882442).

The spelling of 2001441440 in words is "two billion, one million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12509009 25018018 50036036 62545045 100072072 125090090 200144144 250180180 400288288 500360360 1000720720 2001441440