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41090200200 = 233252717191831
BaseRepresentation
bin100110010001001010…
…101011001010001000
310221001122110110000200
4212101022223022020
51133123042401300
630513201332200
72653152640020
oct462112531210
9127048413020
1041090200200
111647638a645
127b69037060
133b4abb183a
141dbb2b8a80
151107584200
hex9912ab288

41090200200 has 288 divisors, whose sum is σ = 166985919360. Its totient is φ = 8839526400.

The previous prime is 41090200169. The next prime is 41090200219. The reversal of 41090200200 is 200209014.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118285 + ... + 310115.

It is an arithmetic number, because the mean of its divisors is an integer number (579812220).

Almost surely, 241090200200 is an apocalyptic number.

41090200200 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 41090200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83492959680).

41090200200 is an abundant number, since it is smaller than the sum of its proper divisors (125895719160).

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

41090200200 is a wasteful number, since it uses less digits than its factorization.

41090200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191877 (or 191865 counting only the distinct ones).

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

Adding to 41090200200 its reverse (200209014), we get a palindrome (41290409214).

The spelling of 41090200200 in words is "forty-one billion, ninety million, two hundred thousand, two hundred".