Search a number
-
+
14334430110 = 235721113193797
BaseRepresentation
bin11010101100110011…
…00000101110011110
31100222222202111102220
431112121200232132
5213324103230420
610330220330210
71015135434300
oct152631405636
940888674386
1014334430110
116096459560
1229406a3966
1314759a3210
1499da8d970
1558d693840
hex356660b9e

14334430110 has 768 divisors, whose sum is σ = 51351874560. Its totient is φ = 2508226560.

The previous prime is 14334430087. The next prime is 14334430111. The reversal of 14334430110 is 1103443341.

It is a super-2 number, since 2×143344301102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334430111) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 147777582 + ... + 147777678.

It is an arithmetic number, because the mean of its divisors is an integer number (66864420).

Almost surely, 214334430110 is an apocalyptic number.

14334430110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14334430110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25675937280).

14334430110 is an abundant number, since it is smaller than the sum of its proper divisors (37017444450).

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

14334430110 is a wasteful number, since it uses less digits than its factorization.

14334430110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14334430110 its reverse (1103443341), we get a palindrome (15437873451).

It can be divided in two parts, 14334 and 430110, that added together give a palindrome (444444).

The spelling of 14334430110 in words is "fourteen billion, three hundred thirty-four million, four hundred thirty thousand, one hundred ten".