Search a number
-
+
40241000414029 is a prime number
BaseRepresentation
bin10010010011001010101101…
…00010001111101101001101
312021111000001111201112100211
421021211112202033231031
520233302032101222104
6221330243235322421
711322213334545352
oct1111452642175515
9167430044645324
1040241000414029
1111905126720168
12461ab85750411
13195b92ccbc94c
149d1963982629
1549bb628dbe04
hex24995688fb4d

40241000414029 has 2 divisors, whose sum is σ = 40241000414030. Its totient is φ = 40241000414028.

The previous prime is 40241000414011. The next prime is 40241000414051. The reversal of 40241000414029 is 92041400014204.

40241000414029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32296466268004 + 7944534146025 = 5682998^2 + 2818605^2 .

It is a cyclic number.

It is not a de Polignac number, because 40241000414029 - 217 = 40241000282957 is a prime.

It is a super-2 number, since 2×402410004140292 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40241000414929) 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, 20120500207014 + 20120500207015.

It is an arithmetic number, because the mean of its divisors is an integer number (20120500207015).

Almost surely, 240241000414029 is an apocalyptic number.

It is an amenable number.

40241000414029 is a deficient number, since it is larger than the sum of its proper divisors (1).

40241000414029 is an equidigital number, since it uses as much as digits as its factorization.

40241000414029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 40241000414029 in words is "forty trillion, two hundred forty-one billion, four hundred fourteen thousand, twenty-nine".