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41534323204000 = 2553117091331399
BaseRepresentation
bin10010111000110011101101…
…00101001001111110100000
312110001122100101201120101211
421130121312211021332200
520420444243220012000
6224200334335235504
711514520151066314
oct1134316645117640
9173048311646354
1041534323204000
1112263675718660
1247a9768978b94
131a2389292b223
14a383b43d7b44
154c060a5097ba
hex25c676949fa0

41534323204000 has 192 divisors, whose sum is σ = 111484193184000. Its totient is φ = 15082076544000.

The previous prime is 41534323203973. The next prime is 41534323204037. The reversal of 41534323204000 is 40232343514.

It is a happy number.

41534323204000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 30530301 + ... + 31861699.

It is an arithmetic number, because the mean of its divisors is an integer number (580646839500).

Almost surely, 241534323204000 is an apocalyptic number.

41534323204000 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 41534323204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55742096592000).

41534323204000 is an abundant number, since it is smaller than the sum of its proper divisors (69949869980000).

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

41534323204000 is a wasteful number, since it uses less digits than its factorization.

41534323204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332144 (or 1332126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 41534323204000 its reverse (40232343514), we get a palindrome (41574555547514).

The spelling of 41534323204000 in words is "forty-one trillion, five hundred thirty-four billion, three hundred twenty-three million, two hundred four thousand".