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12394325274240 = 2735721310134031
BaseRepresentation
bin1011010001011100011101…
…0110101110111010000000
31121212212220211122112111010
42310113013112232322000
53111032034232233430
642205512513120520
72416313635361400
oct264270726567200
947785824575433
1012394325274240
113a494495527a8
12148212a559140
136bba1a46bc20
1430bc62244800
15167611533cb0
hexb45c75aee80

12394325274240 has 384 divisors, whose sum is σ = 49492180120320. Its totient is φ = 2615066173440.

The previous prime is 12394325274203. The next prime is 12394325274241. The reversal of 12394325274240 is 4247252349321.

12394325274240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12394325274240.

It is not an unprimeable number, because it can be changed into a prime (12394325274241) 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, 3843976 + ... + 6290055.

It is an arithmetic number, because the mean of its divisors is an integer number (128885885730).

Almost surely, 212394325274240 is an apocalyptic number.

12394325274240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12394325274240 is an abundant number, since it is smaller than the sum of its proper divisors (37097854846080).

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

12394325274240 is a wasteful number, since it uses less digits than its factorization.

12394325274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134080 (or 10134061 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 12394325274240 in words is "twelve trillion, three hundred ninety-four billion, three hundred twenty-five million, two hundred seventy-four thousand, two hundred forty".