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10406440141 is a prime number
BaseRepresentation
bin10011011000100010…
…11010110011001101
3222212020112221011221
421230101122303031
5132303022041031
64440342043341
7515611165426
oct115421326315
928766487157
1010406440141
114460189559
122025119551
13c9ac751b6
1470a12264d
1540d8e4a11
hex26c45accd

10406440141 has 2 divisors, whose sum is σ = 10406440142. Its totient is φ = 10406440140.

The previous prime is 10406440139. The next prime is 10406440153. The reversal of 10406440141 is 14104460401.

It is a happy number.

10406440141 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., 9739716100 + 666724041 = 98690^2 + 25821^2 .

It is a cyclic number.

It is not a de Polignac number, because 10406440141 - 21 = 10406440139 is a prime.

Together with 10406440139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406440111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203220070 + 5203220071.

It is an arithmetic number, because the mean of its divisors is an integer number (5203220071).

Almost surely, 210406440141 is an apocalyptic number.

It is an amenable number.

10406440141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406440141 is an equidigital number, since it uses as much as digits as its factorization.

10406440141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 10406440141 in words is "ten billion, four hundred six million, four hundred forty thousand, one hundred forty-one".