Search a number
-
+
14490000000 = 273257723
BaseRepresentation
bin11010111111010101…
…11101101010000000
31101101211111021012200
431133222331222000
5214133420000000
610353454553200
71022034652650
oct153752755200
941354437180
1014490000000
116166255513
122984808800
13149bca23c8
149b65c8360
1559c173500
hex35fabda80

14490000000 has 768 divisors, whose sum is σ = 62156090880. Its totient is φ = 3168000000.

The previous prime is 14489999981. The next prime is 14490000013. The reversal of 14490000000 is 9441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629999989 + ... + 630000011.

It is an arithmetic number, because the mean of its divisors is an integer number (80932410).

Almost surely, 214490000000 is an apocalyptic number.

14490000000 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 14490000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31078045440).

14490000000 is an abundant number, since it is smaller than the sum of its proper divisors (47666090880).

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

14490000000 is an frugal number, since it uses more digits than its factorization.

14490000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14490000000 its reverse (9441), we get a palindrome (14490009441).

The spelling of 14490000000 in words is "fourteen billion, four hundred ninety million", and thus it is an aban number.