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14020074432 = 2633721347271
BaseRepresentation
bin11010000111010100…
…10101101111000000
31100012002020120112000
431003222111233000
5212203114340212
610235110504000
71004300444400
oct150352255700
940162216460
1014020074432
115a44a6a481
122873365000
13142581a140
14970020800
15570c9b1dc
hex343a95bc0

14020074432 has 672 divisors, whose sum is σ = 52926935040. Its totient is φ = 3605575680.

The previous prime is 14020074401. The next prime is 14020074443. The reversal of 14020074432 is 23447002041.

14020074432 is a `hidden beast` number, since 14 + 0 + 200 + 7 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 14020074396 and 14020074405.

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, 51734457 + ... + 51734727.

It is an arithmetic number, because the mean of its divisors is an integer number (78760320).

Almost surely, 214020074432 is an apocalyptic number.

14020074432 is a gapful number since it is divisible by the number (12) 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 14020074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26463467520).

14020074432 is an abundant number, since it is smaller than the sum of its proper divisors (38906860608).

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

14020074432 is a wasteful number, since it uses less digits than its factorization.

14020074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 14020074432 its reverse (23447002041), we get a palindrome (37467076473).

The spelling of 14020074432 in words is "fourteen billion, twenty million, seventy-four thousand, four hundred thirty-two".