Search a number
-
+
13312423442124 = 2232369789540059
BaseRepresentation
bin1100000110111000101001…
…0001010011011011001100
31202010122200200022210202200
43001232022101103123030
53221102320400121444
644151350511121500
72542535156135652
oct301561221233314
952118620283680
1013312423442124
114272848a84a34
1215b0053813290
137574825aa1c1
143404790ccdd2
1518144785a969
hexc1b8a4536cc

13312423442124 has 18 divisors (see below), whose sum is σ = 33650848145460. Its totient is φ = 4437474480696.

The previous prime is 13312423442107. The next prime is 13312423442237. The reversal of 13312423442124 is 42124432421331.

13312423442124 is a `hidden beast` number, since 1 + 3 + 3 + 12 + 423 + 4 + 4 + 212 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×133124234421243 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 369789540059 = 13312423442124 / (1 + 3 + 3 + 1 + 2 + 4 + 2 + 3 + 4 + 4 + 2 + 1 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184894769994 + ... + 184894770065.

Almost surely, 213312423442124 is an apocalyptic number.

It is an amenable number.

13312423442124 is an abundant number, since it is smaller than the sum of its proper divisors (20338424703336).

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

13312423442124 is a wasteful number, since it uses less digits than its factorization.

13312423442124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369789540069 (or 369789540064 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 13312423442124 its reverse (42124432421331), we get a palindrome (55436855863455).

The spelling of 13312423442124 in words is "thirteen trillion, three hundred twelve billion, four hundred twenty-three million, four hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 369789540059 739579080118 1109368620177 1479158160236 2218737240354 3328105860531 4437474480708 6656211721062 13312423442124