Search a number
-
+
144740160 = 26325291733
BaseRepresentation
bin10001010000010…
…00111101000000
3101002100120011200
420220020331000
5244023141120
622210141200
73405161655
oct1050107500
9332316150
10144740160
117477a474
1240581800
1323ca9a86
1415319c2c
15ca90e90
hex8a08f40

144740160 has 168 divisors, whose sum is σ = 515310120. Its totient is φ = 37244928.

The previous prime is 144740143. The next prime is 144740161. The reversal of 144740160 is 61047441.

It can be written as a sum of positive squares in 4 ways, for example, as 13133376 + 131606784 = 3624^2 + 11472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144740161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82654 + ... + 84386.

Almost surely, 2144740160 is an apocalyptic number.

144740160 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 144740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257655060).

144740160 is an abundant number, since it is smaller than the sum of its proper divisors (370569960).

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

144740160 is a wasteful number, since it uses less digits than its factorization.

144740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144740160 is about 12030.8004721215. The cubic root of 144740160 is about 525.0447852951.

The spelling of 144740160 in words is "one hundred forty-four million, seven hundred forty thousand, one hundred sixty".