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14494399920 = 24325721113317
BaseRepresentation
bin11010111111110111…
…01111110110110000
31101102010202210202200
431133323233312300
5214141031244140
610354133143200
71022120236500
oct153773576660
941363683680
1014494399920
116168790210
12298618ab00
13149cb83000
149b7011a00
1559c742030
hex35feefdb0

14494399920 has 1440 divisors, whose sum is σ = 70853590080. Its totient is φ = 2616606720.

The previous prime is 14494399807. The next prime is 14494399921. The reversal of 14494399920 is 2999349441.

It is a happy number.

14494399920 is a `hidden beast` number, since 14 + 494 + 39 + 99 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14494399921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 852611752 + ... + 852611768.

It is an arithmetic number, because the mean of its divisors is an integer number (49203882).

Almost surely, 214494399920 is an apocalyptic number.

14494399920 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 14494399920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35426795040).

14494399920 is an abundant number, since it is smaller than the sum of its proper divisors (56359190160).

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

14494399920 is a wasteful number, since it uses less digits than its factorization.

14494399920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

It can be divided in two parts, 14494 and 399920, that added together give a palindrome (414414).

The spelling of 14494399920 in words is "fourteen billion, four hundred ninety-four million, three hundred ninety-nine thousand, nine hundred twenty".