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14141520540 = 2233572659811
BaseRepresentation
bin11010010101110011…
…00111101010011100
31100111112202200021000
431022321213222130
5212430212124130
610255125510300
71010303640600
oct151271475234
940445680230
1014141520540
115aa7579764
1228a7b72390
131444a2c344
149821d5500
1557b78a260
hex34ae67a9c

14141520540 has 288 divisors, whose sum is σ = 51319699200. Its totient is φ = 3223463040.

The previous prime is 14141520539. The next prime is 14141520587. The reversal of 14141520540 is 4502514141.

14141520540 is a `hidden beast` number, since 1 + 4 + 1 + 415 + 205 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17436735 + ... + 17437545.

It is an arithmetic number, because the mean of its divisors is an integer number (178193400).

Almost surely, 214141520540 is an apocalyptic number.

14141520540 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 14141520540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25659849600).

14141520540 is an abundant number, since it is smaller than the sum of its proper divisors (37178178660).

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

14141520540 is a wasteful number, since it uses less digits than its factorization.

14141520540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 14141520540 in words is "fourteen billion, one hundred forty-one million, five hundred twenty thousand, five hundred forty".