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41112111040 = 26571113128347
BaseRepresentation
bin100110010010011110…
…010000011111000000
310221010011200122001021
4212102132100133000
51133144200023130
630515303115224
72653540115020
oct462236203700
9127104618037
1041112111040
1116487795580
127b74442b14
133b525b3930
141dc017da80
15110946137a
hex9927907c0

41112111040 has 224 divisors, whose sum is σ = 131444780544. Its totient is φ = 11828367360.

The previous prime is 41112110981. The next prime is 41112111091. The reversal of 41112111040 is 4011121114.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256147 + ... + 384493.

It is an arithmetic number, because the mean of its divisors is an integer number (586807056).

Almost surely, 241112111040 is an apocalyptic number.

41112111040 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 41112111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65722390272).

41112111040 is an abundant number, since it is smaller than the sum of its proper divisors (90332669504).

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

41112111040 is a wasteful number, since it uses less digits than its factorization.

41112111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128395 (or 128385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 41112111040 its reverse (4011121114), we get a palindrome (45123232154).

The spelling of 41112111040 in words is "forty-one billion, one hundred twelve million, one hundred eleven thousand, forty".