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3442101340420 = 2251091739126853
BaseRepresentation
bin110010000101101101001…
…110100100100100000100
3110012001122221221100002101
4302011231032210210010
5422343410420343140
611153140213321444
7503453323434601
oct62055516444404
913161587840071
103442101340420
111107872520296
12477128936284
131bc78668a7a2
14bc8547816a8
155e80c35399a
hex3216d3a4904

3442101340420 has 48 divisors (see below), whose sum is σ = 7336895393520. Its totient is φ = 1356323222016.

The previous prime is 3442101340411. The next prime is 3442101340427. The reversal of 3442101340420 is 240431012443.

It can be written as a sum of positive squares in 8 ways, for example, as 198694845504 + 3243406494916 = 445752^2 + 1800946^2 .

It is not an unprimeable number, because it can be changed into a prime (3442101340427) by changing a digit.

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, 4186287 + ... + 4940566.

It is an arithmetic number, because the mean of its divisors is an integer number (152851987365).

Almost surely, 23442101340420 is an apocalyptic number.

It is an amenable number.

3442101340420 is an abundant number, since it is smaller than the sum of its proper divisors (3894794053100).

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

3442101340420 is a wasteful number, since it uses less digits than its factorization.

3442101340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127144 (or 9127142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3442101340420 its reverse (240431012443), we get a palindrome (3682532352863).

The spelling of 3442101340420 in words is "three trillion, four hundred forty-two billion, one hundred one million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 109 173 218 346 436 545 692 865 1090 1730 2180 3460 18857 37714 75428 94285 188570 377140 9126853 18253706 36507412 45634265 91268530 182537060 994826977 1578945569 1989653954 3157891138 3979307908 4974134885 6315782276 7894727845 9948269770 15789455690 19896539540 31578911380 172105067021 344210134042 688420268084 860525335105 1721050670210 3442101340420