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14144200 = 2352710103
BaseRepresentation
bin110101111101…
…001011001000
3222121121012021
4311331023020
512110103300
61223054224
7231136510
oct65751310
928547167
1014144200
117a90824
1248a1374
132c12c65
141c42840
151395d1a
hexd7d2c8

14144200 has 48 divisors (see below), whose sum is σ = 37586880. Its totient is φ = 4848960.

The previous prime is 14144173. The next prime is 14144203. The reversal of 14144200 is 244141.

It is not an unprimeable number, because it can be changed into a prime (14144203) 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 11 ways as a sum of consecutive naturals, for example, 3652 + ... + 6451.

It is an arithmetic number, because the mean of its divisors is an integer number (783060).

Almost surely, 214144200 is an apocalyptic number.

14144200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144200 is an abundant number, since it is smaller than the sum of its proper divisors (23442680).

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

14144200 is a wasteful number, since it uses less digits than its factorization.

14144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 14144200 is about 3760.8775571667. The cubic root of 14144200 is about 241.8388837189.

Adding to 14144200 its reverse (244141), we get a palindrome (14388341).

The spelling of 14144200 in words is "fourteen million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 10103 20206 40412 50515 70721 80824 101030 141442 202060 252575 282884 353605 404120 505150 565768 707210 1010300 1414420 1768025 2020600 2828840 3536050 7072100 14144200