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2001044240 = 245131924081
BaseRepresentation
bin111011101000101…
…1000001100010000
312011110022120122122
41313101120030100
513044231403430
6530321153412
7100405411136
oct16721301420
95143276578
102001044240
119375a0178
1247a18b868
1325b751760
1414da8b756
15baa1bee5
hex77458310

2001044240 has 40 divisors (see below), whose sum is σ = 5010309528. Its totient is φ = 738846720.

The previous prime is 2001044231. The next prime is 2001044251. The reversal of 2001044240 is 424401002.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 2000951824 = 304^2 + 44732^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961001 + ... + 963080.

Almost surely, 22001044240 is an apocalyptic number.

2001044240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001044240 is an abundant number, since it is smaller than the sum of its proper divisors (3009265288).

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

2001044240 is a wasteful number, since it uses less digits than its factorization.

2001044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924107 (or 1924101 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2001044240 is about 44733.0329845853. The cubic root of 2001044240 is about 1260.1402884026.

Adding to 2001044240 its reverse (424401002), we get a palindrome (2425445242).

The spelling of 2001044240 in words is "two billion, one million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1924081 3848162 7696324 9620405 15392648 19240810 25013053 30785296 38481620 50026106 76963240 100052212 125065265 153926480 200104424 250130530 400208848 500261060 1000522120 2001044240