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2240444042000 = 24531765895413
BaseRepresentation
bin100000100110100100110…
…111110000101100010000
321221011222101201202001222
4200212210313300230100
5243201412133321000
64433125031144212
7320603202065663
oct40464467605420
97834871652058
102240444042000
1179419228738a
12302268215068
13133371927938
147a61c0c96da
153d42bdeba85
hex209a4df0b10

2240444042000 has 80 divisors (see below), whose sum is σ = 5736063997872. Its totient is φ = 843461273600.

The previous prime is 2240444041939. The next prime is 2240444042027. The reversal of 2240444042000 is 2404440422.

It can be written as a sum of positive squares in 8 ways, for example, as 36014930176 + 2204429111824 = 189776^2 + 1484732^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32913707 + ... + 32981706.

Almost surely, 22240444042000 is an apocalyptic number.

2240444042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240444042000 is an abundant number, since it is smaller than the sum of its proper divisors (3495619955872).

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

2240444042000 is a wasteful number, since it uses less digits than its factorization.

2240444042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65895453 (or 65895437 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2240444042000 its reverse (2404440422), we get a palindrome (2242848482422).

The spelling of 2240444042000 in words is "two trillion, two hundred forty billion, four hundred forty-four million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 65895413 131790826 263581652 329477065 527163304 658954130 1054326608 1120222021 1317908260 1647385325 2240444042 2635816520 3294770650 4480888084 5271633040 5601110105 6589541300 8236926625 8961776168 11202220210 13179082600 16473853250 17923552336 22404440420 26358165200 28005550525 32947706500 44808880840 56011101050 65895413000 89617761680 112022202100 131790826000 140027752625 224044404200 280055505250 448088808400 560111010500 1120222021000 2240444042000