Search a number
-
+
111455344000 = 2753711136959
BaseRepresentation
bin110011111001101000…
…0011001010110000000
3101122200111220010000201
41213303100121112000
53311230032002000
6123111334454544
711023652535610
oct1476320312600
9348614803021
10111455344000
11432a46aa650
1219726204454
13a682b852c0
1455745c0a40
152d74c7096a
hex19f3419580

111455344000 has 512 divisors, whose sum is σ = 372111667200. Its totient is φ = 32062464000.

The previous prime is 111455343977. The next prime is 111455344001. The reversal of 111455344000 is 443554111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 111455344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111455344001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16012521 + ... + 16019479.

It is an arithmetic number, because the mean of its divisors is an integer number (726780600).

Almost surely, 2111455344000 is an apocalyptic number.

111455344000 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 111455344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186055833600).

111455344000 is an abundant number, since it is smaller than the sum of its proper divisors (260656323200).

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

111455344000 is a wasteful number, since it uses less digits than its factorization.

111455344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 111455344000 its reverse (443554111), we get a palindrome (111898898111).

The spelling of 111455344000 in words is "one hundred eleven billion, four hundred fifty-five million, three hundred forty-four thousand".