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4141000500 = 22353713231319
BaseRepresentation
bin1111011011010010…
…1010011100110100
3101200121000121202220
43312310222130310
531440044004000
61522524002340
7204421631520
oct36664523464
911617017686
104141000500
111835539a6a
129769903b0
1350cbbc270
142b3d78d80
151938281a0
hexf6d2a734

4141000500 has 384 divisors, whose sum is σ = 15498362880. Its totient is φ = 835084800.

The previous prime is 4141000483. The next prime is 4141000537. The reversal of 4141000500 is 50001414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4141000500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3138841 + ... + 3140159.

It is an arithmetic number, because the mean of its divisors is an integer number (40360320).

Almost surely, 24141000500 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 4141000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749181440).

4141000500 is an abundant number, since it is smaller than the sum of its proper divisors (11357362380).

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

4141000500 is a wasteful number, since it uses less digits than its factorization.

4141000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

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

The square root of 4141000500 is about 64350.6060577521. The cubic root of 4141000500 is about 1605.8381119752.

Adding to 4141000500 its reverse (50001414), we get a palindrome (4191001914).

The spelling of 4141000500 in words is "four billion, one hundred forty-one million, five hundred", and thus it is an aban number.