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30424814420 = 2257211131072029
BaseRepresentation
bin11100010101011101…
…011101001101010100
32220112100122201012112
4130111131131031110
5444302223030140
621551005210152
72124645440600
oct342535351524
986470581175
1030424814420
11119a3018430
125a91260958
132b3b3b4290
141688a2c500
15bd108ec65
hex71575d354

30424814420 has 288 divisors, whose sum is σ = 88176574080. Its totient is φ = 8667509760.

The previous prime is 30424814417. The next prime is 30424814429. The reversal of 30424814420 is 2441842403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30424814429) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14993966 + ... + 14995994.

It is an arithmetic number, because the mean of its divisors is an integer number (306168660).

Almost surely, 230424814420 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 30424814420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44088287040).

30424814420 is an abundant number, since it is smaller than the sum of its proper divisors (57751759660).

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

30424814420 is a wasteful number, since it uses less digits than its factorization.

30424814420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The spelling of 30424814420 in words is "thirty billion, four hundred twenty-four million, eight hundred fourteen thousand, four hundred twenty".