Search a number
-
+
401042244120127 is a prime number
BaseRepresentation
bin101101100101111101110110…
…0100000000010111000111111
31221120222021010112110012012121
41123023323230200002320333
5410031134003443321002
63540540132531343411
7150321226445526421
oct13313735440027077
91846867115405177
10401042244120127
1110686a073724265
1238b90810151b67
13142a11767a747c
147106796302811
1531570683b1237
hex16cbeec802e3f

401042244120127 has 2 divisors, whose sum is σ = 401042244120128. Its totient is φ = 401042244120126.

The previous prime is 401042244120083. The next prime is 401042244120139. The reversal of 401042244120127 is 721021442240104.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401042244120127 is a prime.

It is a super-2 number, since 2×4010422441201272 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401042244120092 and 401042244120101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401042244120197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200521122060063 + 200521122060064.

It is an arithmetic number, because the mean of its divisors is an integer number (200521122060064).

Almost surely, 2401042244120127 is an apocalyptic number.

401042244120127 is a deficient number, since it is larger than the sum of its proper divisors (1).

401042244120127 is an equidigital number, since it uses as much as digits as its factorization.

401042244120127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28672, while the sum is 34.

The spelling of 401042244120127 in words is "four hundred one trillion, forty-two billion, two hundred forty-four million, one hundred twenty thousand, one hundred twenty-seven".