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14231124340 = 225432532137
BaseRepresentation
bin11010100000011110…
…11011100101110100
31100201210101000120021
431100033123211310
5213121131434330
610312050214524
71012442363266
oct152017334564
940653330507
1014231124340
11604310a394
122911b84444
13145a472b44
1499007bb36
1558458967a
hex3503db974

14231124340 has 108 divisors (see below), whose sum is σ = 31412343564. Its totient is φ = 5415341568.

The previous prime is 14231124331. The next prime is 14231124343. The reversal of 14231124340 is 4342113241.

It can be written as a sum of positive squares in 6 ways, for example, as 571592464 + 13659531876 = 23908^2 + 116874^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14231124343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103876752 + ... + 103876888.

It is an arithmetic number, because the mean of its divisors is an integer number (290855033).

Almost surely, 214231124340 is an apocalyptic number.

14231124340 is a gapful number since it is divisible by the number (10) 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 14231124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706171782).

14231124340 is an abundant number, since it is smaller than the sum of its proper divisors (17181219224).

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

14231124340 is a wasteful number, since it uses less digits than its factorization.

14231124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14231124340 its reverse (4342113241), we get a palindrome (18573237581).

The spelling of 14231124340 in words is "fourteen billion, two hundred thirty-one million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 53 86 106 137 172 212 215 265 274 430 530 548 685 860 1060 1370 1849 2279 2740 2809 3698 4558 5618 5891 7261 7396 9116 9245 11236 11395 11782 14045 14522 18490 22790 23564 28090 29044 29455 36305 36980 45580 56180 58910 72610 97997 117820 120787 145220 195994 241574 253313 312223 384833 391988 483148 489985 506626 603935 624446 769666 979970 1013252 1207870 1248892 1266565 1539332 1561115 1924165 1959940 2415740 2533130 3122230 3848330 5066260 5193841 6244460 7696660 10387682 13425589 16547819 20775364 25969205 26851178 33095638 51938410 53702356 66191276 67127945 82739095 103876820 134255890 165478190 268511780 330956380 711556217 1423112434 2846224868 3557781085 7115562170 14231124340