Search a number
-
+
11141244114 = 237111323591367
BaseRepresentation
bin10100110000001000…
…11110010011010010
31001202110012211201220
422120010132103102
5140304124302424
65041311305510
7543043004160
oct123004362322
931673184656
1011141244114
1147a7a3a670
1221ab21b296
13108727c050
1477995a230
1545318e579
hex29811e4d2

11141244114 has 256 divisors, whose sum is σ = 31770869760. Its totient is φ = 2509943040.

The previous prime is 11141244113. The next prime is 11141244161. The reversal of 11141244114 is 41144214111.

It is a super-3 number, since 3×111412441143 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11141244113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8149459 + ... + 8150825.

It is an arithmetic number, because the mean of its divisors is an integer number (124104960).

Almost surely, 211141244114 is an apocalyptic number.

11141244114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141244114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885434880).

11141244114 is an abundant number, since it is smaller than the sum of its proper divisors (20629625646).

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

11141244114 is a wasteful number, since it uses less digits than its factorization.

11141244114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485.

The product of its digits is 512, while the sum is 24.

Adding to 11141244114 its reverse (41144214111), we get a palindrome (52285458225).

It can be divided in two parts, 11141 and 244114, that added together give a triangular number (255255 = T714).

The spelling of 11141244114 in words is "eleven billion, one hundred forty-one million, two hundred forty-four thousand, one hundred fourteen".