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41134223314044 = 22337137433917219
BaseRepresentation
bin10010101101001010011101…
…10001001100110001111100
312101122101121202012021011000
421112211032301030301330
520342420342132022134
6223252445030130300
711443564254122040
oct1126451661146174
9171571552167130
1041134223314044
1112119a2076a483
1247441081b0990
1319c4c2c6b7503
14a22c9ac72020
154b4edee7de99
hex25694ec4cc7c

41134223314044 has 192 divisors, whose sum is σ = 123052474137600. Its totient is φ = 11639892658176.

The previous prime is 41134223314043. The next prime is 41134223314057. The reversal of 41134223314044 is 44041332243114.

41134223314044 is a `hidden beast` number, since 4 + 1 + 1 + 342 + 233 + 1 + 40 + 44 = 666.

41134223314044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41134223314043) by changing a digit.

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, 44388067 + ... + 45305285.

It is an arithmetic number, because the mean of its divisors is an integer number (640898302800).

Almost surely, 241134223314044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41134223314044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61526237068800).

41134223314044 is an abundant number, since it is smaller than the sum of its proper divisors (81918250823556).

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

41134223314044 is a wasteful number, since it uses less digits than its factorization.

41134223314044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917809 (or 917801 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41134223314044 its reverse (44041332243114), we get a palindrome (85175555557158).

The spelling of 41134223314044 in words is "forty-one trillion, one hundred thirty-four billion, two hundred twenty-three million, three hundred fourteen thousand, forty-four".