Search a number
-
+
14450000000 = 2758172
BaseRepresentation
bin11010111010100100…
…11000000010000000
31101022001020001112012
431131102120002000
5214043200000000
610345505352052
71021040654612
oct153522300200
941261201465
1014450000000
116145714967
122973338628
131493908877
149b1174db2
155988c1735
hex35d498080

14450000000 has 216 divisors, whose sum is σ = 38225078085. Its totient is φ = 5440000000.

The previous prime is 14449999997. The next prime is 14450000021. The reversal of 14450000000 is 5441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 13405934656 + 1044065344 = 115784^2 + 32312^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=85000.

It is a self number, because there is not a number n which added to its sum of digits gives 14450000000.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 849999992 + ... + 850000008.

Almost surely, 214450000000 is an apocalyptic number.

14450000000 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 14450000000

14450000000 is an abundant number, since it is smaller than the sum of its proper divisors (23775078085).

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

14450000000 is an frugal number, since it uses more digits than its factorization.

14450000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 14450000000 its reverse (5441), we get a palindrome (14450005441).

The spelling of 14450000000 in words is "fourteen billion, four hundred fifty million", and thus it is an aban number.