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14444016 = 2431731571
BaseRepresentation
bin110111000110…
…010111110000
31000011211110120
4313012113300
512144202031
61233330240
7233525556
oct67062760
930154416
1014444016
118176004
124a06980
132cb9572
141cbdbd6
151404a96
hexdc65f0

14444016 has 80 divisors (see below), whose sum is σ = 40854528. Its totient is φ = 4377600.

The previous prime is 14443987. The next prime is 14444057. The reversal of 14444016 is 61044441.

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

It is a congruent number.

It is an unprimeable number.

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, 25011 + ... + 25581.

Almost surely, 214444016 is an apocalyptic number.

14444016 is a gapful number since it is divisible by the number (16) 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 14444016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264).

14444016 is an abundant number, since it is smaller than the sum of its proper divisors (26410512).

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

14444016 is a wasteful number, since it uses less digits than its factorization.

14444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14444016 is about 3800.5283843171. The cubic root of 14444016 is about 243.5357112065.

Adding to 14444016 its reverse (61044441), we get a palindrome (75488457).

It can be divided in two parts, 1444 and 4016, that added together give a triangular number (5460 = T104).

The spelling of 14444016 in words is "fourteen million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 571 744 816 1054 1142 1488 1581 1713 2108 2284 3162 3426 4216 4568 6324 6852 8432 9136 9707 12648 13704 17701 19414 25296 27408 29121 35402 38828 53103 58242 70804 77656 106206 116484 141608 155312 212412 232968 283216 300917 424824 465936 601834 849648 902751 1203668 1805502 2407336 3611004 4814672 7222008 14444016