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14449750272 = 28334361797
BaseRepresentation
bin11010111010100010…
…11011000100000000
31101022000202100222000
431131101123010000
5214043114002042
610345500144000
71021035564546
oct153521330400
941260670860
1014449750272
116145564281
122973238000
13149384bcb9
149b110bd96
1559887274c
hex35d45b100

14449750272 has 288 divisors, whose sum is σ = 44496735360. Its totient is φ = 4621639680.

The previous prime is 14449750261. The next prime is 14449750277. The reversal of 14449750272 is 27205794441.

14449750272 is a `hidden beast` number, since 1 + 44 + 497 + 50 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (14449750277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18129778 + ... + 18130574.

Almost surely, 214449750272 is an apocalyptic number.

14449750272 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 14449750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22248367680).

14449750272 is an abundant number, since it is smaller than the sum of its proper divisors (30046985088).

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

14449750272 is an equidigital number, since it uses as much as digits as its factorization.

14449750272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 14449750272 in words is "fourteen billion, four hundred forty-nine million, seven hundred fifty thousand, two hundred seventy-two".