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424400330424 = 233719210976379
BaseRepresentation
bin1100010110100000011…
…10110001111010111000
31111120110012002120210110
412023100032301322320
523423132441033144
6522544455544320
742443015200410
oct6132016617270
91446405076713
10424400330424
11153a94a16834
126a30298b0a0
1331036863495
1416780a4b640
15b08db160b9
hex62d03b1eb8

424400330424 has 192 divisors, whose sum is σ = 1281118291200. Its totient is φ = 114752567808.

The previous prime is 424400330413. The next prime is 424400330441. The reversal of 424400330424 is 424033004424.

It is a junction number, because it is equal to n+sod(n) for n = 424400330391 and 424400330400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66527667 + ... + 66534045.

It is an arithmetic number, because the mean of its divisors is an integer number (6672491100).

Almost surely, 2424400330424 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 424400330424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640559145600).

424400330424 is an abundant number, since it is smaller than the sum of its proper divisors (856717960776).

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

424400330424 is a wasteful number, since it uses less digits than its factorization.

424400330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 424400330424 its reverse (424033004424), we get a palindrome (848433334848).

The spelling of 424400330424 in words is "four hundred twenty-four billion, four hundred million, three hundred thirty thousand, four hundred twenty-four".