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141066436104 = 2332118910931831
BaseRepresentation
bin1000001101100000110…
…1101111111000001000
3111111010011101110001200
42003120031233320020
54302401001423404
6144445515144200
713122520631316
oct2033015577010
9444104343050
10141066436104
115490a3643a0
122340aa45060
13103c17c0789
146b831110b6
153a09677839
hex20d836fe08

141066436104 has 192 divisors, whose sum is σ = 422086204800. Its totient is φ = 42205363200.

The previous prime is 141066436079. The next prime is 141066436127. The reversal of 141066436104 is 401634660141.

141066436104 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 6 + 643 + 6 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77042469 + ... + 77044299.

It is an arithmetic number, because the mean of its divisors is an integer number (2198365650).

Almost surely, 2141066436104 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 141066436104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211043102400).

141066436104 is an abundant number, since it is smaller than the sum of its proper divisors (281019768696).

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

141066436104 is a wasteful number, since it uses less digits than its factorization.

141066436104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 141066436104 in words is "one hundred forty-one billion, sixty-six million, four hundred thirty-six thousand, one hundred four".