Search a number
-
+
144355770 = 23451313709
BaseRepresentation
bin10001001101010…
…11000110111010
3101001122000220000
420212223012322
5243423341040
622154013430
73402001206
oct1046530672
9331560800
10144355770
1174537699
1240417276
1323ba3b20
1415259b06
15ca17130
hex89ab1ba

144355770 has 80 divisors (see below), whose sum is σ = 418045320. Its totient is φ = 35531136.

The previous prime is 144355741. The next prime is 144355781. The reversal of 144355770 is 77553441.

It is a happy number.

144355770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 116445681 + 27910089 = 10791^2 + 5283^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3676 + ... + 17384.

Almost surely, 2144355770 is an apocalyptic number.

144355770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144355770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209022660).

144355770 is an abundant number, since it is smaller than the sum of its proper divisors (273689550).

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

144355770 is a wasteful number, since it uses less digits than its factorization.

144355770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13741 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 144355770 is about 12014.8146053112. The cubic root of 144355770 is about 524.5795817877.

The spelling of 144355770 in words is "one hundred forty-four million, three hundred fifty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 13709 27418 41127 68545 82254 123381 137090 178217 205635 246762 356434 370143 411270 534651 616905 740286 891085 1069302 1110429 1233810 1603953 1782170 1850715 2220858 2673255 3207906 3701430 4811859 5346510 5552145 8019765 9623718 11104290 14435577 16039530 24059295 28871154 48118590 72177885 144355770