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14041110200 = 23521319284233
BaseRepresentation
bin11010001001110101…
…00101011010111000
31100020112211022011112
431010322211122320
5212224011011300
610241141415452
71004644316225
oct150472453270
940215738145
1014041110200
115a55927a07
12287a40a588
131429ca3b40
14972b3894c
15572a53e35
hex344ea56b8

14041110200 has 96 divisors (see below), whose sum is σ = 37007266800. Its totient is φ = 4911528960.

The previous prime is 14041110199. The next prime is 14041110227. The reversal of 14041110200 is 201114041.

14041110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92717 + ... + 191516.

Almost surely, 214041110200 is an apocalyptic number.

14041110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14041110200 is an abundant number, since it is smaller than the sum of its proper divisors (22966156600).

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

14041110200 is a wasteful number, since it uses less digits than its factorization.

14041110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284281 (or 284272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14041110200 its reverse (201114041), we get a palindrome (14242224241).

The spelling of 14041110200 in words is "fourteen billion, forty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 260 325 380 475 494 520 650 760 950 988 1235 1300 1900 1976 2470 2600 3800 4940 6175 9880 12350 24700 49400 284233 568466 1136932 1421165 2273864 2842330 3695029 5400427 5684660 7105825 7390058 10800854 11369320 14211650 14780116 18475145 21601708 27002135 28423300 29560232 36950290 43203416 54004270 56846600 70205551 73900580 92375725 108008540 135010675 140411102 147801160 184751450 216017080 270021350 280822204 351027755 369502900 540042700 561644408 702055510 739005800 1080085400 1404111020 1755138775 2808222040 3510277550 7020555100 14041110200