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14229504000000 = 2193256193
BaseRepresentation
bin1100111100010001000010…
…0010000000000000000000
31212101022211121012010112200
43033010100202000000000
53331114011011000000
650132535514153200
72666022242226222
oct317042042000000
955338747163480
1014229504000000
114596776055763
121719934122800
137c2ab4953993
143729d6b64412
1519a21e673500
hexcf110880000

14229504000000 has 840 divisors, whose sum is σ = 51649849615650. Its totient is φ = 3774873600000.

The previous prime is 14229503999947. The next prime is 14229504000001. The reversal of 14229504000000 is 40592241.

It can be written as a sum of positive squares in 7 ways, for example, as 9465516785664 + 4763987214336 = 3076608^2 + 2182656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14229504000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 73727999904 + ... + 73728000096.

Almost surely, 214229504000000 is an apocalyptic number.

14229504000000 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 14229504000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824924807825).

14229504000000 is an abundant number, since it is smaller than the sum of its proper divisors (37420345615650).

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

14229504000000 is an frugal number, since it uses more digits than its factorization.

14229504000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14229504000000 its reverse (40592241), we get a palindrome (14229544592241).

The spelling of 14229504000000 in words is "fourteen trillion, two hundred twenty-nine billion, five hundred four million", and thus it is an aban number.