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36144236141 = 1323324174937
BaseRepresentation
bin100001101010010111…
…010100011001101101
310110021221202102211122
4201222113110121231
51043010411024031
624334320230325
72416454636516
oct415227243155
9113257672748
1036144236141
111436852a642
12700876b3a5
1335402c23a0
141a6c481a0d
15e1825347b
hex86a5d466d

36144236141 has 16 divisors (see below), whose sum is σ = 39115715184. Its totient is φ = 33200246784.

The previous prime is 36144236113. The next prime is 36144236143. The reversal of 36144236141 is 14163244163.

36144236141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 207072100 + 35937164041 = 14390^2 + 189571^2 .

It is a cyclic number.

It is not a de Polignac number, because 36144236141 - 26 = 36144236077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36144236143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7318625 + ... + 7323561.

It is an arithmetic number, because the mean of its divisors is an integer number (2444732199).

Almost surely, 236144236141 is an apocalyptic number.

It is an amenable number.

36144236141 is a deficient number, since it is larger than the sum of its proper divisors (2971479043).

36144236141 is a wasteful number, since it uses less digits than its factorization.

36144236141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600.

The product of its digits is 41472, while the sum is 35.

The spelling of 36144236141 in words is "thirty-six billion, one hundred forty-four million, two hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 13 233 2417 3029 4937 31421 64181 563161 1150321 7321093 11932729 14954173 155125477 2780325857 36144236141