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42244020444200 = 2352262180587601
BaseRepresentation
bin10011001101011101100111…
…10101010001110000101000
312112120111012102021210220012
421212232303311101300220
521014111223213203300
6225502345102151052
711620013131102211
oct1146566365216050
9175514172253805
1042244020444200
1112507652272353
1248a3210b82488
131a7579512c603
14a6089b570408
154d3ce5ab8435
hex266bb3d51c28

42244020444200 has 48 divisors (see below), whose sum is σ = 98254821986460. Its totient is φ = 16891160960000.

The previous prime is 42244020444161. The next prime is 42244020444203. The reversal of 42244020444200 is 244402044224.

42244020444200 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 6 ways, for example, as 26565097289956 + 15678923154244 = 5154134^2 + 3959662^2 .

It is not an unprimeable number, because it can be changed into a prime (42244020444203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39769601 + ... + 40818000.

Almost surely, 242244020444200 is an apocalyptic number.

42244020444200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42244020444200 is an abundant number, since it is smaller than the sum of its proper divisors (56010801542260).

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

42244020444200 is a wasteful number, since it uses less digits than its factorization.

42244020444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80590238 (or 80590229 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42244020444200 its reverse (244402044224), we get a palindrome (42488422488424).

The spelling of 42244020444200 in words is "forty-two trillion, two hundred forty-four billion, twenty million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2621 5242 10484 13105 20968 26210 52420 65525 104840 131050 262100 524200 80587601 161175202 322350404 402938005 644700808 805876010 1611752020 2014690025 3223504040 4029380050 8058760100 16117520200 211220102221 422440204442 844880408884 1056100511105 1689760817768 2112201022210 4224402044420 5280502555525 8448804088840 10561005111050 21122010222100 42244020444200