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424422124224 = 26375315737951
BaseRepresentation
bin1100010110100011000…
…01111010101011000000
31111120111201002211021020
412023101201322223000
523423204030433344
6522550555025440
742443401350240
oct6132141725300
91446451084236
10424422124224
11153aa625183a
126a30a13b280
133103b224217
14167838c1b20
15b0909bd719
hex62d187aac0

424422124224 has 224 divisors, whose sum is σ = 1315949469696. Its totient is φ = 118214553600.

The previous prime is 424422124211. The next prime is 424422124283. The reversal of 424422124224 is 422421224424.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11164449 + ... + 11202399.

Almost surely, 2424422124224 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 424422124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657974734848).

424422124224 is an abundant number, since it is smaller than the sum of its proper divisors (891527345472).

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

424422124224 is a wasteful number, since it uses less digits than its factorization.

424422124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38183 (or 38173 counting only the distinct ones).

The product of its digits is 65536, while the sum is 33.

Adding to 424422124224 its reverse (422421224424), we get a palindrome (846843348648).

The spelling of 424422124224 in words is "four hundred twenty-four billion, four hundred twenty-two million, one hundred twenty-four thousand, two hundred twenty-four".