Search a number
-
+
113742344178 = 2335996736919
BaseRepresentation
bin110100111101110010…
…0100110111111110010
3101212120220021202111000
41221323210212333302
53330421020003203
6124130313102430
711134432654611
oct1517344467762
9355526252430
10113742344178
1144268651741
121a0640b7a16
13a958928348
145710227878
152e5a9254a3
hex1a7b926ff2

113742344178 has 64 divisors (see below), whose sum is σ = 257317632000. Its totient is φ = 37231950672.

The previous prime is 113742344161. The next prime is 113742344189. The reversal of 113742344178 is 871443247311.

113742344178 is a `hidden beast` number, since 1 + 1 + 374 + 234 + 41 + 7 + 8 = 666.

113742344178 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1137423441782 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3062403 + ... + 3099321.

It is an arithmetic number, because the mean of its divisors is an integer number (4020588000).

Almost surely, 2113742344178 is an apocalyptic number.

113742344178 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113742344178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128658816000).

113742344178 is an abundant number, since it is smaller than the sum of its proper divisors (143575287822).

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

113742344178 is a wasteful number, since it uses less digits than its factorization.

113742344178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37956 (or 37950 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 113742344178 in words is "one hundred thirteen billion, seven hundred forty-two million, three hundred forty-four thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 967 1062 1593 1934 2901 3186 5802 8703 17406 26109 36919 52218 57053 73838 110757 114106 171159 221514 332271 342318 513477 664542 996813 1026954 1540431 1993626 2178221 3080862 4356442 6534663 13069326 19603989 35700673 39207978 58811967 71401346 107102019 117623934 214204038 321306057 642612114 963918171 1927836342 2106339707 4212679414 6319019121 12638038242 18957057363 37914114726 56871172089 113742344178