Search a number
-
+
14410000000 = 275711131
BaseRepresentation
bin11010110101110011…
…10010011010000000
31101012020221211211201
431122321302122000
5214002430000000
610341520150544
71020043656544
oct153271623200
941166854751
1014410000000
116125084310
122961a68454
131488542026
149a9b21a24
1559511e96a
hex35ae72680

14410000000 has 256 divisors, whose sum is σ = 39445211520. Its totient is φ = 5200000000.

The previous prime is 14409999973. The next prime is 14410000013. The reversal of 14410000000 is 1441.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109999935 + ... + 110000065.

Almost surely, 214410000000 is an apocalyptic number.

14410000000 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 14410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19722605760).

14410000000 is an abundant number, since it is smaller than the sum of its proper divisors (25035211520).

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

14410000000 is an frugal number, since it uses more digits than its factorization.

14410000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 14410000000 its reverse (1441), we get a palindrome (14410001441).

14410000000 divided by its reverse (1441) gives a 7-th power (10000000 = 107).

It can be divided in two parts, 14 and 410000000, that added together give a palindrome (410000014).

The spelling of 14410000000 in words is "fourteen billion, four hundred ten million", and thus it is an aban number.