Search a number
-
+
41415000000 = 2635711251
BaseRepresentation
bin100110100100100001…
…101011111111000000
310221220021121222120220
4212210201223333000
51134304220000000
631005323103040
72664205456143
oct464441537700
9127807558526
1041415000000
1116622762530
128039971a80
133ba028367a
14200c4a605a
151125d411a0
hex9a486bfc0

41415000000 has 448 divisors, whose sum is σ = 150018365952. Its totient is φ = 10000000000.

The previous prime is 41414999999. The next prime is 41415000019. The reversal of 41415000000 is 51414.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 164999875 + ... + 165000125.

It is an arithmetic number, because the mean of its divisors is an integer number (334862424).

Almost surely, 241415000000 is an apocalyptic number.

41415000000 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 41415000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75009182976).

41415000000 is an abundant number, since it is smaller than the sum of its proper divisors (108603365952).

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

41415000000 is an frugal number, since it uses more digits than its factorization.

41415000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 41415000000 its reverse (51414), we get a palindrome (41415051414).

The spelling of 41415000000 in words is "forty-one billion, four hundred fifteen million", and thus it is an aban number.