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2440140000 = 2535467607
BaseRepresentation
bin1001000101110001…
…1001010011100000
320022001112221210120
42101130121103200
514444133440000
61042044400240
7114316563534
oct22134312340
96261487716
102440140000
111042439331
12581246080
132cb70112c
1419210bbc4
15e43546a0
hex917194e0

2440140000 has 240 divisors, whose sum is σ = 8136995328. Its totient is φ = 639936000.

The previous prime is 2440139987. The next prime is 2440140023. The reversal of 2440140000 is 410442.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4019697 + ... + 4020303.

Almost surely, 22440140000 is an apocalyptic number.

2440140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068497664).

2440140000 is an abundant number, since it is smaller than the sum of its proper divisors (5696855328).

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

2440140000 is an equidigital number, since it uses as much as digits as its factorization.

2440140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2440140000 is about 49397.7732291649. The cubic root of 2440140000 is about 1346.2888471620.

Adding to 2440140000 its reverse (410442), we get a palindrome (2440550442).

The spelling of 2440140000 in words is "two billion, four hundred forty million, one hundred forty thousand".