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14169312000 = 28325349199
BaseRepresentation
bin11010011001000111…
…01000101100000000
31100120111001121222100
431030203220230000
5213004320441000
610302001310400
71011062110344
oct151443505400
940514047870
1014169312000
116011230908
1228b5335400
13144a70ccac
14985b8b624
1557de29a00
hex34c8e8b00

14169312000 has 216 divisors, whose sum is σ = 50986353600. Its totient is φ = 3778406400.

The previous prime is 14169311999. The next prime is 14169312007. The reversal of 14169312000 is 21396141.

It is a super-3 number, since 3×141693120003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14169312007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 263401 + ... + 312599.

Almost surely, 214169312000 is an apocalyptic number.

14169312000 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 14169312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25493176800).

14169312000 is an abundant number, since it is smaller than the sum of its proper divisors (36817041600).

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

14169312000 is an equidigital number, since it uses as much as digits as its factorization.

14169312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49236 (or 49209 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 14169312000 in words is "fourteen billion, one hundred sixty-nine million, three hundred twelve thousand".