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41231141112000 = 2635371368117939
BaseRepresentation
bin10010101111111110111111…
…00001010000100011000000
312101222122210010010112001110
421113333133201100203000
520401012334111041000
6223405154051003320
711453565053610540
oct1127773741204300
9171878703115043
1041231141112000
111215703529a564
12475aa55899540
131a01106790c58
14a2785280d320
154b77b37d8850
hex257fdf8508c0

41231141112000 has 448 divisors, whose sum is σ = 155614593438720. Its totient is φ = 9423046656000.

The previous prime is 41231141111989. The next prime is 41231141112019. The reversal of 41231141112000 is 21114113214.

41231141112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298399031 + ... + 2298416969.

Almost surely, 241231141112000 is an apocalyptic number.

41231141112000 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 41231141112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77807296719360).

41231141112000 is an abundant number, since it is smaller than the sum of its proper divisors (114383452326720).

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

41231141112000 is a wasteful number, since it uses less digits than its factorization.

41231141112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31657 (or 31637 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 41231141112000 its reverse (21114113214), we get a palindrome (41252255225214).

The spelling of 41231141112000 in words is "forty-one trillion, two hundred thirty-one billion, one hundred forty-one million, one hundred twelve thousand".