Search a number
-
+
113344422240 = 25357136724677
BaseRepresentation
bin110100110001111011…
…0101010000101100000
3101211120011112020012110
41221203312222011200
53324112133002430
6124023020155320
711121531456420
oct1514366520540
9354504466173
10113344422240
1144083a76035
1219b72998b40
13a8c436388a
1456b3444480
152e35a227b0
hex1a63daa160

113344422240 has 192 divisors, whose sum is σ = 408354960384. Its totient is φ = 25887295488.

The previous prime is 113344422229. The next prime is 113344422241. The reversal of 113344422240 is 42224443311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113344422198 and 113344422207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113344422241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4580782 + ... + 4605458.

It is an arithmetic number, because the mean of its divisors is an integer number (2126848752).

Almost surely, 2113344422240 is an apocalyptic number.

113344422240 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 113344422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204177480192).

113344422240 is an abundant number, since it is smaller than the sum of its proper divisors (295010538144).

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

113344422240 is a wasteful number, since it uses less digits than its factorization.

113344422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26069 (or 26061 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 113344422240 its reverse (42224443311), we get a palindrome (155568865551).

The spelling of 113344422240 in words is "one hundred thirteen billion, three hundred forty-four million, four hundred twenty-two thousand, two hundred forty".