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10414100449 is a prime number
BaseRepresentation
bin10011011001011101…
…01000111111100001
3222212202222010011001
421230232220333201
5132312002203244
64441214152001
7516033251614
oct115456507741
928782863131
1010414100449
114464540895
1220277b2601
13c9c727b1c
1470b15817b
1540e4095d4
hex26cba8fe1

10414100449 has 2 divisors, whose sum is σ = 10414100450. Its totient is φ = 10414100448.

The previous prime is 10414100407. The next prime is 10414100483. The reversal of 10414100449 is 94400141401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5537592225 + 4876508224 = 74415^2 + 69832^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414100449 - 219 = 10413576161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10414101449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5207050224 + 5207050225.

It is an arithmetic number, because the mean of its divisors is an integer number (5207050225).

Almost surely, 210414100449 is an apocalyptic number.

It is an amenable number.

10414100449 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414100449 is an equidigital number, since it uses as much as digits as its factorization.

10414100449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 10414100449 in words is "ten billion, four hundred fourteen million, one hundred thousand, four hundred forty-nine".