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144144 = 243271113
BaseRepresentation
bin100011001100010000
321022201200
4203030100
514103034
63031200
71140150
oct431420
9238650
10144144
1199330
126b500
13507c0
143a760
152ca99
hex23310

144144 has 120 divisors (see below), whose sum is σ = 541632. Its totient is φ = 34560.

The previous prime is 144139. The next prime is 144161. The reversal of 144144 is 441441.

144144 divided by its sum of digits (18) gives a palindrome (8008).

Adding to 144144 its product of digits (256), we get a square (144400 = 3802).

Adding to 144144 its reverse (441441), we get a palindrome (585585).

Multipling 144144 by its reverse (441441), we get a square (63631071504 = 2522522).

It can be divided in two parts, 1441 and 44, that added together give a triangular number (1485 = T54).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11082 + ... + 11094.

2144144 is an apocalyptic number.

144144 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 144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816).

144144 is an abundant number, since it is smaller than the sum of its proper divisors (397488).

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

144144 is a wasteful number, since it uses less digits than its factorization.

144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 144144 is about 379.6630084694. The cubic root of 144144 is about 52.4322936728.

The spelling of 144144 in words is "one hundred forty-four thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 33 36 39 42 44 48 52 56 63 66 72 77 78 84 88 91 99 104 112 117 126 132 143 144 154 156 168 176 182 198 208 231 234 252 264 273 286 308 312 336 364 396 429 462 468 504 528 546 572 616 624 693 728 792 819 858 924 936 1001 1008 1092 1144 1232 1287 1386 1456 1584 1638 1716 1848 1872 2002 2184 2288 2574 2772 3003 3276 3432 3696 4004 4368 5148 5544 6006 6552 6864 8008 9009 10296 11088 12012 13104 16016 18018 20592 24024 36036 48048 72072 144144