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2434342231120 = 24530429277889
BaseRepresentation
bin100011011011001010000…
…110101001110001010000
322121201110111101022121211
4203123022012221301100
5304341013102343440
65102153230225504
7340606161360622
oct43331206516120
98551414338554
102434342231120
118594427a9778
12333960355294
13148732a52217
1485b73a58c12
15434c9826eea
hex236ca1a9c50

2434342231120 has 20 divisors (see below), whose sum is σ = 5659845687540. Its totient is φ = 973736892416.

The previous prime is 2434342231103. The next prime is 2434342231121. The reversal of 2434342231120 is 211322434342.

It can be written as a sum of positive squares in 2 ways, for example, as 376024051264 + 2058318179856 = 613208^2 + 1434684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434342231121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15214638865 + ... + 15214639024.

It is an arithmetic number, because the mean of its divisors is an integer number (282992284377).

Almost surely, 22434342231120 is an apocalyptic number.

2434342231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434342231120 is an abundant number, since it is smaller than the sum of its proper divisors (3225503456420).

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

2434342231120 is a wasteful number, since it uses less digits than its factorization.

2434342231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30429277902 (or 30429277896 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 2434342231120 its reverse (211322434342), we get a palindrome (2645664665462).

The spelling of 2434342231120 in words is "two trillion, four hundred thirty-four billion, three hundred forty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30429277889 60858555778 121717111556 152146389445 243434223112 304292778890 486868446224 608585557780 1217171115560 2434342231120