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14020112430 = 23251916531249
BaseRepresentation
bin11010000111010100…
…11111000000101110
31100012002022111122100
431003222133000232
5212203122044210
610235111355530
71004300663232
oct150352370056
940162274570
1014020112430
115a44a95a85
122873382ba6
13142583151c
149700305c2
15570ca75c0
hex343a9f02e

14020112430 has 96 divisors (see below), whose sum is σ = 36728640000. Its totient is φ = 3710453760.

The previous prime is 14020112333. The next prime is 14020112441. The reversal of 14020112430 is 3421102041.

14020112430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 11224446 + ... + 11225694.

It is an arithmetic number, because the mean of its divisors is an integer number (382590000).

Almost surely, 214020112430 is an apocalyptic number.

14020112430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14020112430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364320000).

14020112430 is an abundant number, since it is smaller than the sum of its proper divisors (22708527570).

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

14020112430 is a wasteful number, since it uses less digits than its factorization.

14020112430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14020112430 its reverse (3421102041), we get a palindrome (17441214471).

The spelling of 14020112430 in words is "fourteen billion, twenty million, one hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 653 955 1146 1249 1306 1719 1910 1959 2498 2865 3265 3438 3747 3918 5730 5877 6245 6530 7494 8595 9795 11241 11754 12490 17190 18735 19590 22482 29385 37470 56205 58770 112410 124723 238559 249446 374169 477118 623615 715677 748338 815597 1122507 1192795 1247230 1431354 1631194 1870845 2147031 2245014 2385590 2446791 3578385 3741690 4077985 4294062 4893582 5612535 7156770 7340373 8155970 10735155 11225070 12233955 14680746 21470310 24467910 36701865 73403730 155779027 311558054 467337081 778895135 934674162 1402011243 1557790270 2336685405 2804022486 4673370810 7010056215 14020112430