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14410144 = 257232797
BaseRepresentation
bin110110111110…
…000110100000
31000010010000001
4312332012200
512142111034
61232505344
7233325040
oct66760640
930103001
1014410144
118152611
1249ab254
132ca7018
141cb1720
1513e9a14
hexdbe1a0

14410144 has 48 divisors (see below), whose sum is σ = 33844608. Its totient is φ = 5905152.

The previous prime is 14410141. The next prime is 14410157. The reversal of 14410144 is 44101441.

14410144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14410141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3754 + ... + 6550.

It is an arithmetic number, because the mean of its divisors is an integer number (705096).

Almost surely, 214410144 is an apocalyptic number.

14410144 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 14410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16922304).

14410144 is an abundant number, since it is smaller than the sum of its proper divisors (19434464).

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

14410144 is a wasteful number, since it uses less digits than its factorization.

14410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 14410144 is about 3796.0695462544. The cubic root of 14410144 is about 243.3451940592.

Adding to 14410144 its reverse (44101441), we get a palindrome (58511585).

The spelling of 14410144 in words is "fourteen million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 2797 5152 5594 11188 19579 22376 39158 44752 64331 78316 89504 128662 156632 257324 313264 450317 514648 626528 900634 1029296 1801268 2058592 3602536 7205072 14410144