Search a number
-
+
14441520000 = 27354193167
BaseRepresentation
bin11010111001100100…
…00001101110000000
31101021110021020011010
431130302001232000
5214034012120000
610345003520520
71020605615565
oct153462015600
941243236133
1014441520000
1161409527a6
122970529140
131491c29b0b
149adda886c
15597c98d50
hex35cc81b80

14441520000 has 320 divisors, whose sum is σ = 50473843200. Its totient is φ = 3647232000.

The previous prime is 14441519999. The next prime is 14441520007. The reversal of 14441520000 is 2514441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441520007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4558417 + ... + 4561583.

It is an arithmetic number, because the mean of its divisors is an integer number (157730760).

Almost surely, 214441520000 is an apocalyptic number.

14441520000 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 14441520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25236921600).

14441520000 is an abundant number, since it is smaller than the sum of its proper divisors (36032323200).

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

14441520000 is an equidigital number, since it uses as much as digits as its factorization.

14441520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 14441520000 in words is "fourteen billion, four hundred forty-one million, five hundred twenty thousand".