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14340491424 = 2537773401
BaseRepresentation
bin11010101101100001…
…01000100010100000
31101000102011110000000
431112300220202200
5213332131211144
610330554300000
71015241110620
oct152660504240
941012143000
1014340491424
116099919506
122942727600
1314770160ac
149a07ca880
1558de8e769
hex356c288a0

14340491424 has 384 divisors, whose sum is σ = 49177013760. Its totient is φ = 4031078400.

The previous prime is 14340491401. The next prime is 14340491447. The reversal of 14340491424 is 42419404341.

It is a happy number.

14340491424 is a `hidden beast` number, since 143 + 4 + 0 + 4 + 91 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (14340491401) and next prime (14340491447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35761624 + ... + 35762024.

It is an arithmetic number, because the mean of its divisors is an integer number (128065140).

Almost surely, 214340491424 is an apocalyptic number.

14340491424 is a gapful number since it is divisible by the number (14) 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 14340491424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588506880).

14340491424 is an abundant number, since it is smaller than the sum of its proper divisors (34836522336).

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

14340491424 is an frugal number, since it uses more digits than its factorization.

14340491424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 14340491424 its reverse (42419404341), we get a palindrome (56759895765).

The spelling of 14340491424 in words is "fourteen billion, three hundred forty million, four hundred ninety-one thousand, four hundred twenty-four".