Search a number
-
+
144163008 = 26321161373
BaseRepresentation
bin10001001011111…
…00000011000000
3101001021020110200
420211330003000
5243401204013
622145525200
73400236213
oct1045740300
9331236420
10144163008
1174415890
1240343800
1323b37172
141520977a
15c9c9e73
hex897c0c0

144163008 has 168 divisors, whose sum is σ = 459400656. Its totient is φ = 42854400.

The previous prime is 144162983. The next prime is 144163037. The reversal of 144163008 is 800361441.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386310 + ... + 386682.

Almost surely, 2144163008 is an apocalyptic number.

144163008 is a gapful number since it is divisible by the number (18) 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 144163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229700328).

144163008 is an abundant number, since it is smaller than the sum of its proper divisors (315237648).

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

144163008 is a wasteful number, since it uses less digits than its factorization.

144163008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144163008 is about 12006.7900789512. The cubic root of 144163008 is about 524.3459828774.

It can be divided in two parts, 14416 and 3008, that added together give a square (17424 = 1322).

The spelling of 144163008 in words is "one hundred forty-four million, one hundred sixty-three thousand, eight".