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13125300141240 = 23325783137458047
BaseRepresentation
bin1011111011111111100011…
…0110100011110010111000
31201110202200201211012201100
42332333320312203302320
53210021103314004430
643525402445251400
72523162113256540
oct276777066436270
951422621735640
1013125300141240
114200454832431
12157b930563b60
13742930c4b521
143353a723c320
1517b644ace960
hexbeff8da3cb8

13125300141240 has 384 divisors, whose sum is σ = 49698721013760. Its totient is φ = 2942282299392.

The previous prime is 13125300141137. The next prime is 13125300141269. The reversal of 13125300141240 is 4214100352131.

13125300141240 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 530 + 0 + 1 + 4 + 124 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28425897 + ... + 28883943.

It is an arithmetic number, because the mean of its divisors is an integer number (129423752640).

Almost surely, 213125300141240 is an apocalyptic number.

13125300141240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125300141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24849360506880).

13125300141240 is an abundant number, since it is smaller than the sum of its proper divisors (36573420872520).

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

13125300141240 is a wasteful number, since it uses less digits than its factorization.

13125300141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458291 (or 458284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13125300141240 its reverse (4214100352131), we get a palindrome (17339400493371).

The spelling of 13125300141240 in words is "thirteen trillion, one hundred twenty-five billion, three hundred million, one hundred forty-one thousand, two hundred forty".