Search a number
-
+
144328194 = 2323725857
BaseRepresentation
bin10001001101001…
…00011000000010
3101001120122001200
420212210120002
5243422000234
622153242030
73401524623
oct1046443002
9331518050
10144328194
11745189aa
1240403316
1323b943ca
141524da4a
15ca0dd99
hex89a4602

144328194 has 36 divisors (see below), whose sum is σ = 321446034. Its totient is φ = 46801152.

The previous prime is 144328193. The next prime is 144328229. The reversal of 144328194 is 491823441.

It is a happy number.

144328194 is a `hidden beast` number, since 1 + 443 + 28 + 194 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 128527569 + 15800625 = 11337^2 + 3975^2 .

It is not an unprimeable number, because it can be changed into a prime (144328193) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21714 + ... + 27570.

Almost surely, 2144328194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144328194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160723017).

144328194 is an abundant number, since it is smaller than the sum of its proper divisors (177117840).

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

144328194 is a wasteful number, since it uses less digits than its factorization.

144328194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5899 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 144328194 is about 12013.6669672503. Note that the first 3 decimals coincide. The cubic root of 144328194 is about 524.5461765239.

The spelling of 144328194 in words is "one hundred forty-four million, three hundred twenty-eight thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 4107 5857 8214 11714 12321 17571 24642 35142 52713 105426 216709 433418 650127 1300254 1950381 3900762 8018233 16036466 24054699 48109398 72164097 144328194