Search a number
-
+
131441415523344 = 243219163114835107
BaseRepresentation
bin11101111000101110010110…
…111000011000110000010000
3122020101200021020121122201200
4131320232112320120300100
5114212014004333221334
61143315204103031200
736454220544410523
oct3570562670306020
9566350236548650
10131441415523344
1138976a9a435163
12128aa28813b500
135845b45596994
142465b26d68bba
15102e15d5ee799
hex778b96e18c10

131441415523344 has 240 divisors, whose sum is σ = 370687671803904. Its totient is φ = 43477483795200.

The previous prime is 131441415523267. The next prime is 131441415523357. The reversal of 131441415523344 is 443325514144131.

131441415523344 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 41 + 41 + 5 + 523 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131441415523344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25737498039 + ... + 25737503145.

Almost surely, 2131441415523344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131441415523344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185343835901952).

131441415523344 is an abundant number, since it is smaller than the sum of its proper divisors (239246256280560).

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

131441415523344 is a wasteful number, since it uses less digits than its factorization.

131441415523344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7417 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

Adding to 131441415523344 its reverse (443325514144131), we get a palindrome (574766929667475).

The spelling of 131441415523344 in words is "one hundred thirty-one trillion, four hundred forty-one billion, four hundred fifteen million, five hundred twenty-three thousand, three hundred forty-four".