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42224404040244 = 22321172900112229
BaseRepresentation
bin10011001100111001000101…
…00110101000101000110100
312112111121120022120020111100
421212130202212220220310
521013301034413241434
6225445342354410100
711615420044316136
oct1146344246505064
9175447508506440
1042224404040244
11124aa2a6324758
12489b457590930
131a7398a0718aa
14a5d95a1bd056
154d3548870699
hex2667229a8a34

42224404040244 has 18 divisors (see below), whose sum is σ = 106733910212930. Its totient is φ = 14074801346736.

The previous prime is 42224404040219. The next prime is 42224404040281. The reversal of 42224404040244 is 44204040442224.

42224404040244 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 4 + 4 + 0 + 404 + 0 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41476974628644 + 747429411600 = 6440262^2 + 864540^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1172900112229 = 42224404040244 / (4 + 2 + 2 + 2 + 4 + 4 + 0 + 4 + 0 + 4 + 0 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 42224404040199 and 42224404040208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586450056079 + ... + 586450056150.

Almost surely, 242224404040244 is an apocalyptic number.

It is an amenable number.

42224404040244 is an abundant number, since it is smaller than the sum of its proper divisors (64509506172686).

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

42224404040244 is a wasteful number, since it uses less digits than its factorization.

42224404040244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172900112239 (or 1172900112234 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42224404040244 its reverse (44204040442224), we get a palindrome (86428444482468).

The spelling of 42224404040244 in words is "forty-two trillion, two hundred twenty-four billion, four hundred four million, forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1172900112229 2345800224458 3518700336687 4691600448916 7037400673374 10556101010061 14074801346748 21112202020122 42224404040244