Search a number
-
+
40041211214029 is a prime number
BaseRepresentation
bin10010001101010110100100…
…01010111011100011001101
312020202220100212002121002211
421012223102022323203031
520222013400032322104
6221054402315350421
711301611353426534
oct1106532212734315
9166686325077084
1040041211214029
1111838422949143
1245a8308752411
131945b405697cc
149c600d89531b
1549686cc06e04
hex246ad22bb8cd

40041211214029 has 2 divisors, whose sum is σ = 40041211214030. Its totient is φ = 40041211214028.

The previous prime is 40041211214003. The next prime is 40041211214033. The reversal of 40041211214029 is 92041211214004.

40041211214029 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., 39883898236900 + 157312977129 = 6315370^2 + 396627^2 .

It is a cyclic number.

It is not a de Polignac number, because 40041211214029 - 215 = 40041211181261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40041211214089) 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 as a sum of consecutive naturals, namely, 20020605607014 + 20020605607015.

It is an arithmetic number, because the mean of its divisors is an integer number (20020605607015).

Almost surely, 240041211214029 is an apocalyptic number.

It is an amenable number.

40041211214029 is a deficient number, since it is larger than the sum of its proper divisors (1).

40041211214029 is an equidigital number, since it uses as much as digits as its factorization.

40041211214029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 40041211214029 in words is "forty trillion, forty-one billion, two hundred eleven million, two hundred fourteen thousand, twenty-nine".