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424122222221424 = 2432731371831160841
BaseRepresentation
bin110000001101111001010011…
…0011001011001100001110000
32001121200200120220002110221100
41200123302212121121201300
5421042304302342041144
64102011020433324400
7155222551020502416
oct14033624631314160
92047620526073840
10424122222221424
11113158251667251
123b69988a106700
131528672802649c
1476a38a73312b6
1534075d4081269
hex181bca6659870

424122222221424 has 240 divisors, whose sum is σ = 1212664841429184. Its totient is φ = 138343193395200.

The previous prime is 424122222221387. The next prime is 424122222221437.

424122222221424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 2 + 2 + 2 + 2 + 2 + 221 + 424 = 666.

424122222221424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636823244 + ... + 2636984084.

Almost surely, 2424122222221424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424122222221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606332420714592).

424122222221424 is an abundant number, since it is smaller than the sum of its proper divisors (788542619207760).

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

424122222221424 is a wasteful number, since it uses less digits than its factorization.

424122222221424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162896 (or 162887 counting only the distinct ones).

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

The spelling of 424122222221424 in words is "four hundred twenty-four trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, four hundred twenty-four".