Search a number
-
+
14444000 = 255323157
BaseRepresentation
bin110111000110…
…010111100000
31000011211102222
4313012113200
512144202000
61233330212
7233525534
oct67062740
930154388
1014444000
118175a9a
124a06968
132cb955c
141cbdbc4
151404a85
hexdc65e0

14444000 has 96 divisors (see below), whose sum is σ = 37267776. Its totient is φ = 5491200.

The previous prime is 14443987. The next prime is 14444057. The reversal of 14444000 is 44441.

14444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14444000.

It is a congruent number.

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, 91922 + ... + 92078.

It is an arithmetic number, because the mean of its divisors is an integer number (388206).

Almost surely, 214444000 is an apocalyptic number.

14444000 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 14444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633888).

14444000 is an abundant number, since it is smaller than the sum of its proper divisors (22823776).

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

14444000 is a wasteful number, since it uses less digits than its factorization.

14444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 14444000 is about 3800.5262793461. The cubic root of 14444000 is about 243.5356212829.

Adding to 14444000 its reverse (44441), we get a palindrome (14488441).

It can be divided in two parts, 144 and 44000, that added together give a palindrome (44144).

The spelling of 14444000 in words is "fourteen million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 157 160 184 200 230 250 314 368 400 460 500 575 628 736 785 800 920 1000 1150 1256 1570 1840 2000 2300 2512 2875 3140 3611 3680 3925 4000 4600 5024 5750 6280 7222 7850 9200 11500 12560 14444 15700 18055 18400 19625 23000 25120 28888 31400 36110 39250 46000 57776 62800 72220 78500 90275 92000 115552 125600 144440 157000 180550 288880 314000 361100 451375 577760 628000 722200 902750 1444400 1805500 2888800 3611000 7222000 14444000