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2444240000 = 275430553
BaseRepresentation
bin1001000110110000…
…0010010010000000
320022100021020221102
42101230002102000
520001211140000
61042312313532
7114366461066
oct22154022200
96270236842
102444240000
111044789764
125826a28a8
132cc508377
14192898036
15e48b43d5
hex91b02480

2444240000 has 80 divisors (see below), whose sum is σ = 6084981870. Its totient is φ = 977664000.

The previous prime is 2444239999. The next prime is 2444240011. The reversal of 2444240000 is 424442.

It can be written as a sum of positive squares in 5 ways, for example, as 8620096 + 2435619904 = 2936^2 + 49352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64724 + ... + 95276.

Almost surely, 22444240000 is an apocalyptic number.

2444240000 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 2444240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042490935).

2444240000 is an abundant number, since it is smaller than the sum of its proper divisors (3640741870).

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

2444240000 is an frugal number, since it uses more digits than its factorization.

2444240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30587 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2444240000 is about 49439.2556578272. The cubic root of 2444240000 is about 1347.0424508693.

Adding to 2444240000 its reverse (424442), we get a palindrome (2444664442).

The spelling of 2444240000 in words is "two billion, four hundred forty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 30553 40000 61106 80000 122212 152765 244424 305530 488848 611060 763825 977696 1222120 1527650 1955392 2444240 3055300 3819125 3910784 4888480 6110600 7638250 9776960 12221200 15276500 19095625 19553920 24442400 30553000 38191250 48884800 61106000 76382500 97769600 122212000 152765000 244424000 305530000 488848000 611060000 1222120000 2444240000