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4141132000 = 25531760899
BaseRepresentation
bin1111011011010100…
…1010100011100000
3101200121021022011021
43312311022203200
531440112211000
61522530455224
7204423020065
oct36665124340
911617238137
104141132000
111835619845
12976a34514
1350cc37085
142b3db0c6c
1519385211a
hexf6d4a8e0

4141132000 has 96 divisors (see below), whose sum is σ = 10773453600. Its totient is φ = 1558988800.

The previous prime is 4141131989. The next prime is 4141132001. The reversal of 4141132000 is 2311414.

4141132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141132001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37551 + ... + 98449.

It is an arithmetic number, because the mean of its divisors is an integer number (112223475).

Almost surely, 24141132000 is an apocalyptic number.

4141132000 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 4141132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386726800).

4141132000 is an abundant number, since it is smaller than the sum of its proper divisors (6632321600).

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

4141132000 is a wasteful number, since it uses less digits than its factorization.

4141132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60941 (or 60923 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4141132000 is about 64351.6277960395. The cubic root of 4141132000 is about 1605.8551099186.

Adding to 4141132000 its reverse (2311414), we get a palindrome (4143443414).

The spelling of 4141132000 in words is "four billion, one hundred forty-one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 60899 68000 121798 243596 304495 487192 608990 974384 1035283 1217980 1522475 1948768 2070566 2435960 3044950 4141132 4871920 5176415 6089900 7612375 8282264 9743840 10352830 12179800 15224750 16564528 20705660 24359600 25882075 30449500 33129056 41411320 48719200 51764150 60899000 82822640 103528300 121798000 129410375 165645280 207056600 243596000 258820750 414113200 517641500 828226400 1035283000 2070566000 4141132000