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14144424 = 2337591427
BaseRepresentation
bin110101111101…
…001110101000
3222121121111120
4311331032220
512110110144
61223055240
7231140250
oct65751650
928547446
1014144424
117a90a08
1248a1520
132c130a8
141c42960
151395e19
hexd7d3a8

14144424 has 64 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3969984.

The previous prime is 14144423. The next prime is 14144477. The reversal of 14144424 is 42444141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14144394 and 14144403.

It is not an unprimeable number, because it can be changed into a prime (14144423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9199 + ... + 10625.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 214144424 is an apocalyptic number.

14144424 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 14144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

14144424 is an abundant number, since it is smaller than the sum of its proper divisors (26981976).

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

14144424 is a wasteful number, since it uses less digits than its factorization.

14144424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 14144424 is about 3760.9073373323. The cubic root of 14144424 is about 241.8401603700.

Adding to 14144424 its reverse (42444141), we get a palindrome (56588565).

The spelling of 14144424 in words is "fourteen million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1427 1652 2478 2854 3304 4281 4956 5708 8562 9912 9989 11416 17124 19978 29967 34248 39956 59934 79912 84193 119868 168386 239736 252579 336772 505158 589351 673544 1010316 1178702 1768053 2020632 2357404 3536106 4714808 7072212 14144424