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41340100410 = 2355723105667
BaseRepresentation
bin100110100000000011…
…111101111100111010
310221201001200200200000
4212200003331330322
51134131031203120
630554045453430
72662306025040
oct464003757472
9127631620600
1041340100410
1116594455344
128018871276
133b8a8ba99b
14200256a390
15111e498990
hex9a00fdf3a

41340100410 has 192 divisors, whose sum is σ = 132928653312. Its totient is φ = 9038246976.

The previous prime is 41340100391. The next prime is 41340100411. The reversal of 41340100410 is 1400104314.

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

It is not an unprimeable number, because it can be changed into a prime (41340100411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338397 + ... + 444063.

It is an arithmetic number, because the mean of its divisors is an integer number (692336736).

Almost surely, 241340100410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41340100410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66464326656).

41340100410 is an abundant number, since it is smaller than the sum of its proper divisors (91588552902).

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

41340100410 is a wasteful number, since it uses less digits than its factorization.

41340100410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105719 (or 105707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41340100410 its reverse (1400104314), we get a palindrome (42740204724).

The spelling of 41340100410 in words is "forty-one billion, three hundred forty million, one hundred thousand, four hundred ten".