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40211735141 is a prime number
BaseRepresentation
bin100101011100110011…
…100110001001100101
310211210102110210111202
4211130303212021211
51124323201011031
630250101012245
72622325052264
oct453463461145
9124712423452
1040211735141
1116065526866
1279629b4085
133a3abb8126
141d367665db
1510a53ad2cb
hex95cce6265

40211735141 has 2 divisors, whose sum is σ = 40211735142. Its totient is φ = 40211735140.

The previous prime is 40211735131. The next prime is 40211735143. The reversal of 40211735141 is 14153711204.

40211735141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33639228100 + 6572507041 = 183410^2 + 81071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40211735141 is a prime.

Together with 40211735143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40211735143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20105867570 + 20105867571.

It is an arithmetic number, because the mean of its divisors is an integer number (20105867571).

Almost surely, 240211735141 is an apocalyptic number.

It is an amenable number.

40211735141 is a deficient number, since it is larger than the sum of its proper divisors (1).

40211735141 is an equidigital number, since it uses as much as digits as its factorization.

40211735141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 40211735141 in words is "forty billion, two hundred eleven million, seven hundred thirty-five thousand, one hundred forty-one".