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41200234000 = 245320600117
BaseRepresentation
bin100110010111101110…
…011010111000010000
310221100022111202000121
4212113232122320100
51133334224442000
630532132000024
72655660132202
oct462756327020
9127308452017
1041200234000
1116522504672
127b99a60014
133b679293b3
141dcbb5c772
15111206bb1a
hex997b9ae10

41200234000 has 40 divisors (see below), whose sum is σ = 99622170648. Its totient is φ = 16480092800.

The previous prime is 41200233989. The next prime is 41200234007. The reversal of 41200234000 is 43200214.

41200234000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6758812944 + 34441421056 = 82212^2 + 185584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (41200234007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10298059 + ... + 10302058.

Almost surely, 241200234000 is an apocalyptic number.

41200234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41200234000 is an abundant number, since it is smaller than the sum of its proper divisors (58421936648).

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

41200234000 is a wasteful number, since it uses less digits than its factorization.

41200234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20600140 (or 20600124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 41200234000 its reverse (43200214), we get a palindrome (41243434214).

The spelling of 41200234000 in words is "forty-one billion, two hundred million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20600117 41200234 82400468 103000585 164800936 206001170 329601872 412002340 515002925 824004680 1030005850 1648009360 2060011700 2575014625 4120023400 5150029250 8240046800 10300058500 20600117000 41200234000