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14050069488 = 243672133161
BaseRepresentation
bin11010001010111001…
…10000101111110000
31100021011200111000000
431011130300233300
5212233304210423
610242101430000
71005113422500
oct150534605760
940234614000
1014050069488
115a5a997184
12288140b300
13142babcab0
14973dcba00
15573723843
hex345730bf0

14050069488 has 840 divisors, whose sum is σ = 53644649856. Its totient is φ = 3527193600.

The previous prime is 14050069417. The next prime is 14050069493. The reversal of 14050069488 is 88496005041.

14050069488 is a `hidden beast` number, since 1 + 4 + 0 + 500 + 69 + 4 + 88 = 666.

14050069488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 230328978 + ... + 230329038.

Almost surely, 214050069488 is an apocalyptic number.

14050069488 is a gapful number since it is divisible by the number (18) 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 14050069488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822324928).

14050069488 is an abundant number, since it is smaller than the sum of its proper divisors (39594580368).

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

14050069488 is a wasteful number, since it uses less digits than its factorization.

14050069488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 14050069488 in words is "fourteen billion, fifty million, sixty-nine thousand, four hundred eighty-eight".