Search a number
-
+
14135243300 = 22521761136309
BaseRepresentation
bin11010010101000011…
…01011001000100100
31100111002221202111122
431022201223020210
5212422110241200
610254343153112
71010166404603
oct151241531044
940432852448
1014135243300
115aa3a81562
1228a5a45798
1314436420b9
1498143da3a
1557ae4a385
hex34a86b224

14135243300 has 72 divisors (see below), whose sum is σ = 33010465320. Its totient is φ = 5234227200.

The previous prime is 14135243299. The next prime is 14135243303. The reversal of 14135243300 is 334253141.

It can be written as a sum of positive squares in 12 ways, for example, as 9236363236 + 4898880064 = 96106^2 + 69992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14135243300.

It is not an unprimeable number, because it can be changed into a prime (14135243303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35546 + ... + 171854.

It is an arithmetic number, because the mean of its divisors is an integer number (458478685).

Almost surely, 214135243300 is an apocalyptic number.

14135243300 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 14135243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505232660).

14135243300 is an abundant number, since it is smaller than the sum of its proper divisors (18875222020).

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

14135243300 is a wasteful number, since it uses less digits than its factorization.

14135243300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136401 (or 136394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 14135243300 its reverse (334253141), we get a palindrome (14469496441).

The spelling of 14135243300 in words is "fourteen billion, one hundred thirty-five million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 20740 25925 51850 103700 136309 272618 545236 681545 1363090 2317253 2726180 3407725 4634506 6815450 8314849 9269012 11586265 13630900 16629698 23172530 33259396 41574245 46345060 57931325 83148490 115862650 141352433 166296980 207871225 231725300 282704866 415742450 565409732 706762165 831484900 1413524330 2827048660 3533810825 7067621650 14135243300