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430331123424 = 253192940919891
BaseRepresentation
bin1100100001100011011…
…10111101011011100000
31112010202111221002022110
412100301232331123200
524022304231422144
6525405201235320
743043002124166
oct6206156753340
91463674832273
10430331123424
11156558778354
126b499032b40
13317704aa657
1416b845a3236
15b2d962d0b9
hex6431bbd6e0

430331123424 has 192 divisors, whose sum is σ = 1233144864000. Its totient is φ = 130880655360.

The previous prime is 430331123269. The next prime is 430331123459. The reversal of 430331123424 is 424321133034.

It is a happy number.

430331123424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 430331123391 and 430331123400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21624519 + ... + 21644409.

It is an arithmetic number, because the mean of its divisors is an integer number (6422629500).

Almost surely, 2430331123424 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 430331123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616572432000).

430331123424 is an abundant number, since it is smaller than the sum of its proper divisors (802813740576).

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

430331123424 is a wasteful number, since it uses less digits than its factorization.

430331123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20361 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 430331123424 its reverse (424321133034), we get a palindrome (854652256458).

The spelling of 430331123424 in words is "four hundred thirty billion, three hundred thirty-one million, one hundred twenty-three thousand, four hundred twenty-four".