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30442220424 = 233271128119541
BaseRepresentation
bin11100010110011111…
…110110101110001000
32220120120102000202100
4130112133312232020
5444321202023144
621552430233400
72125246414140
oct342637665610
986516360670
1030442220424
1111a01926860
125a97055860
132b41b99aa5
14168b07d920
15bd287c269
hex7167f6b88

30442220424 has 192 divisors, whose sum is σ = 103162999680. Its totient is φ = 7878528000.

The previous prime is 30442220411. The next prime is 30442220429. The reversal of 30442220424 is 42402224403.

30442220424 is a `hidden beast` number, since 30 + 4 + 422 + 204 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (30442220429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548094 + ... + 1567634.

It is an arithmetic number, because the mean of its divisors is an integer number (537307290).

Almost surely, 230442220424 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 30442220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51581499840).

30442220424 is an abundant number, since it is smaller than the sum of its proper divisors (72720779256).

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

30442220424 is a wasteful number, since it uses less digits than its factorization.

30442220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19852 (or 19845 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 30442220424 its reverse (42402224403), we get a palindrome (72844444827).

The spelling of 30442220424 in words is "thirty billion, four hundred forty-two million, two hundred twenty thousand, four hundred twenty-four".