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2440242200420 = 225144073846877
BaseRepresentation
bin100011100000101001110…
…001001111111101100100
322122021200200012210222022
4203200221301033331210
5304440104000403140
65105010511122312
7341205322315403
oct43405161177544
98567620183868
102440242200420
118609a0117a62
12334b28213398
1314916319650b
148617346963a
15437227a10b5
hex23829c4ff64

2440242200420 has 24 divisors (see below), whose sum is σ = 5124550240824. Its totient is φ = 976088952576.

The previous prime is 2440242200381. The next prime is 2440242200423. The reversal of 2440242200420 is 240022420442.

2440242200420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 411537646144 + 2028704554276 = 641512^2 + 1424326^2 .

It is a super-3 number, since 3×24402422004203 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2440242200420.

It is not an unprimeable number, because it can be changed into a prime (2440242200423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2458022 + ... + 3304898.

It is an arithmetic number, because the mean of its divisors is an integer number (213522926701).

Almost surely, 22440242200420 is an apocalyptic number.

2440242200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440242200420 is an abundant number, since it is smaller than the sum of its proper divisors (2684308040404).

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

2440242200420 is a wasteful number, since it uses less digits than its factorization.

2440242200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990959 (or 990957 counting only the distinct ones).

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

Adding to 2440242200420 its reverse (240022420442), we get a palindrome (2680264620862).

The spelling of 2440242200420 in words is "two trillion, four hundred forty billion, two hundred forty-two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 144073 288146 576292 720365 846877 1440730 1693754 2881460 3387508 4234385 8468770 16937540 122012110021 244024220042 488048440084 610060550105 1220121100210 2440242200420