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30144122420 = 2251507206121
BaseRepresentation
bin11100000100101110…
…101100111000110100
32212210210111002011112
4130010232230320310
5443213343404140
621503101054152
72114666545556
oct340456547064
985723432145
1030144122420
1111869631375
125a13257358
132ac51b6939
14165d6434d6
15bb65e6c65
hex704bace34

30144122420 has 12 divisors (see below), whose sum is σ = 63302657124. Its totient is φ = 12057648960.

The previous prime is 30144122419. The next prime is 30144122423. The reversal of 30144122420 is 2422144103.

It can be written as a sum of positive squares in 2 ways, for example, as 9462231076 + 20681891344 = 97274^2 + 143812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144122423) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 753603041 + ... + 753603080.

It is an arithmetic number, because the mean of its divisors is an integer number (5275221427).

Almost surely, 230144122420 is an apocalyptic number.

It is an amenable number.

30144122420 is an abundant number, since it is smaller than the sum of its proper divisors (33158534704).

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

30144122420 is a wasteful number, since it uses less digits than its factorization.

30144122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507206130 (or 1507206128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 30144122420 its reverse (2422144103), we get a palindrome (32566266523).

The spelling of 30144122420 in words is "thirty billion, one hundred forty-four million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1507206121 3014412242 6028824484 7536030605 15072061210 30144122420