Search a number
-
+
494100000000 = 28345861
BaseRepresentation
bin1110011000010101010…
…01111010110100000000
31202020100200022122210000
413030022221322310000
531043404100000000
61014553021440000
750461154463225
oct7141251726400
91666320278700
10494100000000
11180601629142
127b915110000
13377939c5809
1419cb380594c
15ccbcba0000
hex730aa7ad00

494100000000 has 810 divisors, whose sum is σ = 1871835955682. Its totient is φ = 129600000000.

The previous prime is 494099999993. The next prime is 494100000019. The reversal of 494100000000 is 1494.

It can be written as a sum of positive squares in 9 ways, for example, as 45542974464 + 448557025536 = 213408^2 + 669744^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 8099999970 + ... + 8100000030.

Almost surely, 2494100000000 is an apocalyptic number.

494100000000 is a gapful number since it is divisible by the number (40) 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 494100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935917977841).

494100000000 is an abundant number, since it is smaller than the sum of its proper divisors (1377735955682).

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

494100000000 is an frugal number, since it uses more digits than its factorization.

494100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 494100000000 its reverse (1494), we get a palindrome (494100001494).

The spelling of 494100000000 in words is "four hundred ninety-four billion, one hundred million", and thus it is an aban number.