Search a number
-
+
144288844 = 22723449499
BaseRepresentation
bin10001001100110…
…10110001001100
3101001111122002021
420212122301030
5243414220334
622152335524
73401302120
oct1046326114
9331448067
10144288844
11744a1387
12403a45a4
1323b7c51b
141523d580
15ca023b4
hex899ac4c

144288844 has 48 divisors (see below), whose sum is σ = 302400000. Its totient is φ = 58899456.

The previous prime is 144288829. The next prime is 144288853. The reversal of 144288844 is 448882441.

It is a self number, because there is not a number n which added to its sum of digits gives 144288844.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288907 + ... + 289405.

It is an arithmetic number, because the mean of its divisors is an integer number (6300000).

Almost surely, 2144288844 is an apocalyptic number.

144288844 is a gapful number since it is divisible by the number (14) 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 144288844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

144288844 is an abundant number, since it is smaller than the sum of its proper divisors (158111156).

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

144288844 is a wasteful number, since it uses less digits than its factorization.

144288844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 980 counting only the distinct ones).

The product of its digits is 262144, while the sum is 43.

The square root of 144288844 is about 12012.0291374938. The cubic root of 144288844 is about 524.4985009967.

The spelling of 144288844 in words is "one hundred forty-four million, two hundred eighty-eight thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 449 499 644 898 998 1796 1996 3143 3493 6286 6986 10327 11477 12572 13972 20654 22954 41308 45908 72289 80339 144578 160678 224051 289156 321356 448102 896204 1568357 3136714 5153173 6273428 10306346 20612692 36072211 72144422 144288844