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2740312454120 = 235372036990901
BaseRepresentation
bin100111111000000111010…
…110011011001111101000
3100200222020002100002200022
4213320013112123033220
5324344124442012440
65454514314100012
7401660332352243
oct47700726331750
910628202302608
102740312454120
11967183a3896a
1238311111a608
1316b544722257
14968bba5825a
154b4361dacb5
hex27e0759b3e8

2740312454120 has 64 divisors (see below), whose sum is σ = 6332724190800. Its totient is φ = 1066435891200.

The previous prime is 2740312454057. The next prime is 2740312454123. The reversal of 2740312454120 is 214542130472.

It can be written as a sum of positive squares in 8 ways, for example, as 1531143911236 + 1209168542884 = 1237394^2 + 1099622^2 .

It is not an unprimeable number, because it can be changed into a prime (2740312454123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30100670 + ... + 30191570.

Almost surely, 22740312454120 is an apocalyptic number.

2740312454120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2740312454120 is an abundant number, since it is smaller than the sum of its proper divisors (3592411736680).

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

2740312454120 is a wasteful number, since it uses less digits than its factorization.

2740312454120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111318 (or 111314 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 2740312454120 its reverse (214542130472), we get a palindrome (2954854584592).

The spelling of 2740312454120 in words is "two trillion, seven hundred forty billion, three hundred twelve million, four hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 20369 40738 81476 90901 101845 162952 181802 203690 363604 407380 454505 727208 753653 814760 909010 1507306 1818020 3014612 3363337 3636040 3768265 6029224 6726674 7536530 13453348 15073060 16816685 26906696 30146120 33633370 67266740 134533480 1851562469 3703124938 7406249876 9257812345 14812499752 18515624690 37031249380 68507811353 74062498760 137015622706 274031245412 342539056765 548062490824 685078113530 1370156227060 2740312454120