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14013520224 = 25311192330367
BaseRepresentation
bin11010000110100010…
…10101100101100000
31100011121220120211120
431003101111211200
5212144430121344
610234314212240
71004160646044
oct150321254540
940147816746
1014013520224
115a412a3180
122871124080
131424363b02
1496d1d6024
15570404219
hex343455960

14013520224 has 192 divisors, whose sum is σ = 44079759360. Its totient is φ = 3847979520.

The previous prime is 14013520177. The next prime is 14013520289. The reversal of 14013520224 is 42202531041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14013520194 and 14013520203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446289 + ... + 476655.

It is an arithmetic number, because the mean of its divisors is an integer number (229582080).

Almost surely, 214013520224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013520224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039879680).

14013520224 is an abundant number, since it is smaller than the sum of its proper divisors (30066239136).

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

14013520224 is a wasteful number, since it uses less digits than its factorization.

14013520224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30433 (or 30425 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 14013520224 in words is "fourteen billion, thirteen million, five hundred twenty thousand, two hundred twenty-four".