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4422412142244 = 2232122844781729
BaseRepresentation
bin100000001011010110001…
…0011100000011010100100
3120122210000111122212021100
41000112230103200122210
51034424100002022434
613223343400120100
7634336331655525
oct100265423403244
916583014585240
104422412142244
1114555973a9178
125b5114a66030
1326105478bcb5
1411408dcc884c
157a085293699
hex405ac4e06a4

4422412142244 has 18 divisors (see below), whose sum is σ = 11178875137430. Its totient is φ = 1474137380736.

The previous prime is 4422412142243. The next prime is 4422412142251.

4422412142244 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 412 + 14 + 224 + 4 = 666.

4422412142244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4350728505600 + 71683636644 = 2085840^2 + 267738^2 .

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: 122844781729 = 4422412142244 / (4 + 4 + 2 + 2 + 4 + 1 + 2 + 1 + 4 + 2 + 2 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4422412142199 and 4422412142208.

It is not an unprimeable number, because it can be changed into a prime (4422412142243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61422390829 + ... + 61422390900.

Almost surely, 24422412142244 is an apocalyptic number.

It is an amenable number.

4422412142244 is an abundant number, since it is smaller than the sum of its proper divisors (6756462995186).

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

4422412142244 is a wasteful number, since it uses less digits than its factorization.

4422412142244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122844781739 (or 122844781734 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 4422412142244 in words is "four trillion, four hundred twenty-two billion, four hundred twelve million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 122844781729 245689563458 368534345187 491379126916 737068690374 1105603035561 1474137380748 2211206071122 4422412142244