Search a number
-
+
494144326116 = 2234747972
BaseRepresentation
bin1110011000011010100…
…11000000100111100100
31202020110202201122210000
413030031103000213210
531044001421413431
61015001243501300
750462233320000
oct7141523004744
91666422648700
10494144326116
11180624653aa1
127b927b27830
133779cc4549c
1419cb9663700
15ccc1a089e6
hex730d4c09e4

494144326116 has 225 divisors, whose sum is σ = 1508892899129. Its totient is φ = 141006948768.

The previous prime is 494144326037. The next prime is 494144326139. The reversal of 494144326116 is 611623441494.

The square root of 494144326116 is 702954.

It is a perfect power (a square), and thus also a powerful number.

494144326116 is a `hidden beast` number, since 4 + 94 + 1 + 443 + 2 + 6 + 116 = 666.

It can be written as a sum of positive squares in only one way, i.e., 239620040100 + 254524286016 = 489510^2 + 504504^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 620005030 + ... + 620005826.

Almost surely, 2494144326116 is an apocalyptic number.

494144326116 is the 702954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494144326116

494144326116 is an abundant number, since it is smaller than the sum of its proper divisors (1014748573013).

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

494144326116 is an frugal number, since it uses more digits than its factorization.

494144326116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 809 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 494144326116 in words is "four hundred ninety-four billion, one hundred forty-four million, three hundred twenty-six thousand, one hundred sixteen".