Search a number
-
+
131423433504444 = 2232294347107757769
BaseRepresentation
bin11101111000011101100111…
…000100011011011010111100
3122020022221212001021110010200
4131320131213010123122330
5114211220142434120234
61143303031502003500
736453013124645454
oct3570354704333274
9566287761243120
10131423433504444
113896a402014214
12128a68a9b76590
13584423acc0903
142464cdca9cd64
15102d959ae8d99
hex77876711b6bc

131423433504444 has 576 divisors, whose sum is σ = 363446296012800. Its totient is φ = 39951701508096.

The previous prime is 131423433504403. The next prime is 131423433504479. The reversal of 131423433504444 is 444405334324131.

131423433504444 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 234 + 335 + 0 + 44 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131423433504444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170901733692 + ... + 170901734460.

It is an arithmetic number, because the mean of its divisors is an integer number (630983152800).

Almost surely, 2131423433504444 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 131423433504444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181723148006400).

131423433504444 is an abundant number, since it is smaller than the sum of its proper divisors (232022862508356).

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

131423433504444 is a wasteful number, since it uses less digits than its factorization.

131423433504444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

Adding to 131423433504444 its reverse (444405334324131), we get a palindrome (575828767828575).

The spelling of 131423433504444 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, four hundred thirty-three million, five hundred four thousand, four hundred forty-four".