Search a number
-
+
114123144 = 23347101173
BaseRepresentation
bin1101100110101…
…10000110001000
321221202001112010
412303112012020
5213203420034
615154015520
72554013352
oct663260610
9257661463
10114123144
1159468453
12322775a0
131a849cb5
141122a0d2
15a0443e9
hex6cd6188

114123144 has 32 divisors (see below), whose sum is σ = 291381120. Its totient is φ = 37231296.

The previous prime is 114123137. The next prime is 114123157. The reversal of 114123144 is 441321411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114123144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49459 + ... + 51714.

It is an arithmetic number, because the mean of its divisors is an integer number (9105660).

Almost surely, 2114123144 is an apocalyptic number.

It is an amenable number.

114123144 is an abundant number, since it is smaller than the sum of its proper divisors (177257976).

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

114123144 is a wasteful number, since it uses less digits than its factorization.

114123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101229 (or 101225 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 114123144 is about 10682.8434417060. The cubic root of 114123144 is about 485.0552868564.

Adding to 114123144 its reverse (441321411), we get a palindrome (555444555).

The spelling of 114123144 in words is "one hundred fourteen million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 101173 202346 303519 404692 607038 809384 1214076 2428152 4755131 9510262 14265393 19020524 28530786 38041048 57061572 114123144