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14144112 = 2433291129
BaseRepresentation
bin110101111101…
…001001110000
3222121121002000
4311331021300
512110102422
61223054000
7231136323
oct65751160
928547060
1014144112
117a90754
1248a1300
132c12bc8
141c427ba
151395cac
hexd7d270

14144112 has 80 divisors (see below), whose sum is σ = 42036000. Its totient is φ = 4548096.

The previous prime is 14144111. The next prime is 14144161. The reversal of 14144112 is 21144141.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11964 + ... + 13092.

It is an arithmetic number, because the mean of its divisors is an integer number (525450).

Almost surely, 214144112 is an apocalyptic number.

14144112 is a gapful number since it is divisible by the number (12) 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 14144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018000).

14144112 is an abundant number, since it is smaller than the sum of its proper divisors (27891888).

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

14144112 is a wasteful number, since it uses less digits than its factorization.

14144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 14144112 is about 3760.8658577514. The cubic root of 14144112 is about 241.8383821737.

Adding to 14144112 its reverse (21144141), we get a palindrome (35288253).

It can be divided in two parts, 141 and 44112, that added together give a triangular number (44253 = T297).

The spelling of 14144112 in words is "fourteen million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1129 1392 1566 2088 2258 3132 3387 4176 4516 6264 6774 9032 10161 12528 13548 18064 20322 27096 30483 32741 40644 54192 60966 65482 81288 98223 121932 130964 162576 196446 243864 261928 294669 392892 487728 523856 589338 785784 884007 1178676 1571568 1768014 2357352 3536028 4714704 7072056 14144112