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14103240480 = 253457831873
BaseRepresentation
bin11010010001001111…
…00101111100100000
31100101212201211220000
431020213211330200
5212340412143410
610251241220000
71006330365120
oct151047457440
940355654800
1014103240480
115a87a0334a
122897191600
131439b18614
1497b0acc80
15578227dc0
hex3489e5f20

14103240480 has 480 divisors, whose sum is σ = 57599144064. Its totient is φ = 3183058944.

The previous prime is 14103240479. The next prime is 14103240499. The reversal of 14103240480 is 8404230141.

14103240480 is a `hidden beast` number, since 1 + 410 + 3 + 240 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7528824 + ... + 7530696.

Almost surely, 214103240480 is an apocalyptic number.

14103240480 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 14103240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28799572032).

14103240480 is an abundant number, since it is smaller than the sum of its proper divisors (43495903584).

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

14103240480 is a wasteful number, since it uses less digits than its factorization.

14103240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14103240480 in words is "fourteen billion, one hundred three million, two hundred forty thousand, four hundred eighty".