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14052433920 = 21335717312
BaseRepresentation
bin11010001011001011…
…10010000000000000
31100021100010121101120
431011211302000000
5212234410341140
610242224232240
71005142501050
oct150545620000
940240117346
1014052433920
115a61261658
12288216b680
13142c43a075
14974445560
15573a3e1d0
hex345972000

14052433920 has 672 divisors, whose sum is σ = 56223310464. Its totient is φ = 2925527040.

The previous prime is 14052433859. The next prime is 14052433987. The reversal of 14052433920 is 2933425041.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453304305 + ... + 453304335.

Almost surely, 214052433920 is an apocalyptic number.

14052433920 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 14052433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111655232).

14052433920 is an abundant number, since it is smaller than the sum of its proper divisors (42170876544).

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

14052433920 is an equidigital number, since it uses as much as digits as its factorization.

14052433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 14052433920 its reverse (2933425041), we get a palindrome (16985858961).

The spelling of 14052433920 in words is "fourteen billion, fifty-two million, four hundred thirty-three thousand, nine hundred twenty".