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10402451441 is a prime number
BaseRepresentation
bin10011011000000100…
…01100111111110001
3222211222001021201022
421230002030333301
5132301011421231
64440120345225
7515532243524
oct115402147761
928758037638
1010402451441
114458a04808
122023915215
13c9a1a9815
147097a4bbb
1540d3a7c7b
hex26c08cff1

10402451441 has 2 divisors, whose sum is σ = 10402451442. Its totient is φ = 10402451440.

The previous prime is 10402451429. The next prime is 10402451443. The reversal of 10402451441 is 14415420401.

10402451441 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., 6823420816 + 3579030625 = 82604^2 + 59825^2 .

It is an emirp because it is prime and its reverse (14415420401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10402451441 - 26 = 10402451377 is a prime.

Together with 10402451443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10402451441.

It is not a weakly prime, because it can be changed into another prime (10402451443) 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, 5201225720 + 5201225721.

It is an arithmetic number, because the mean of its divisors is an integer number (5201225721).

Almost surely, 210402451441 is an apocalyptic number.

It is an amenable number.

10402451441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10402451441 is an equidigital number, since it uses as much as digits as its factorization.

10402451441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 10402451441 its reverse (14415420401), we get a palindrome (24817871842).

The spelling of 10402451441 in words is "ten billion, four hundred two million, four hundred fifty-one thousand, four hundred forty-one".