Search a number
-
+
131144440530000 = 24354431271375843
BaseRepresentation
bin11101110100011001110001…
…110010101100010001010000
3122012100021201112202220000010
4131310121301302230101100
5114142132303233430000
61142530531350154520
736423605330541432
oct3564316162542120
9565307645686003
10131144440530000
1138872054829167
1212860807952a40
135823b38396851
1424555d389c652
15102657b7c3d50
hex774671cac450

131144440530000 has 800 divisors, whose sum is σ = 439870319640576. Its totient is φ = 33636460032000.

The previous prime is 131144440529933. The next prime is 131144440530023. The reversal of 131144440530000 is 35044441131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 131144440530000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22444707079 + ... + 22444712921.

Almost surely, 2131144440530000 is an apocalyptic number.

131144440530000 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 131144440530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219935159820288).

131144440530000 is an abundant number, since it is smaller than the sum of its proper divisors (308725879110576).

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

131144440530000 is a wasteful number, since it uses less digits than its factorization.

131144440530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 131144440530000 its reverse (35044441131), we get a palindrome (131179484971131).

The spelling of 131144440530000 in words is "one hundred thirty-one trillion, one hundred forty-four billion, four hundred forty million, five hundred thirty thousand".