Search a number
-
+
14432220000 = 2532541137197
BaseRepresentation
bin11010111000011101…
…00011001101100000
31101020210202201221200
431130032203031200
5214024122020000
610344032321200
71020433563102
oct153416431540
941223681850
1014432220000
116136680550
1229693a3200
131490021a63
149aca67572
1559705d500
hex35c3a3360

14432220000 has 720 divisors, whose sum is σ = 57751726032. Its totient is φ = 3386880000.

The previous prime is 14432219987. The next prime is 14432220043. The reversal of 14432220000 is 2223441.

14432220000 is a `hidden beast` number, since 1 + 443 + 2 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73259902 + ... + 73260098.

Almost surely, 214432220000 is an apocalyptic number.

14432220000 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 14432220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28875863016).

14432220000 is an abundant number, since it is smaller than the sum of its proper divisors (43319506032).

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

14432220000 is a wasteful number, since it uses less digits than its factorization.

14432220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14432220000 its reverse (2223441), we get a palindrome (14434443441).

It can be divided in two parts, 14432 and 220000, that added together give a palindrome (234432).

The spelling of 14432220000 in words is "fourteen billion, four hundred thirty-two million, two hundred twenty thousand".