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14372400000 = 2735572959
BaseRepresentation
bin11010110001010100…
…10110101110000000
31101002122012120100010
431120222112232000
5213413313300000
610334054224520
71016106245550
oct153052265600
941078176303
1014372400000
116105932932
122951355140
1314808089ca
149a4b35160
15591b93d50
hex358a96b80

14372400000 has 768 divisors, whose sum is σ = 57371328000. Its totient is φ = 3118080000.

The previous prime is 14372399963. The next prime is 14372400041. The reversal of 14372400000 is 427341.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 14372400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243599971 + ... + 243600029.

It is an arithmetic number, because the mean of its divisors is an integer number (74702250).

Almost surely, 214372400000 is an apocalyptic number.

14372400000 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 14372400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685664000).

14372400000 is an abundant number, since it is smaller than the sum of its proper divisors (42998928000).

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

14372400000 is an frugal number, since it uses more digits than its factorization.

14372400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 14372400000 its reverse (427341), we get a palindrome (14372827341).

The spelling of 14372400000 in words is "fourteen billion, three hundred seventy-two million, four hundred thousand".