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400217689441 is a prime number
BaseRepresentation
bin1011101001011101101…
…01010100110101100001
31102021000212012010202201
411310232311110311201
523024121212030231
6503505114013201
740625524142053
oct5645665246541
91367025163681
10400217689441
111448054a7729
1265694117201
132b98177a16b
141552906b8d3
15a625a99161
hex5d2ed54d61

400217689441 has 2 divisors, whose sum is σ = 400217689442. Its totient is φ = 400217689440.

The previous prime is 400217689429. The next prime is 400217689447. The reversal of 400217689441 is 144986712004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242338613841 + 157879075600 = 492279^2 + 397340^2 .

It is a cyclic number.

It is not a de Polignac number, because 400217689441 - 25 = 400217689409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400217689391 and 400217689400.

It is not a weakly prime, because it can be changed into another prime (400217689447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200108844720 + 200108844721.

It is an arithmetic number, because the mean of its divisors is an integer number (200108844721).

Almost surely, 2400217689441 is an apocalyptic number.

It is an amenable number.

400217689441 is a deficient number, since it is larger than the sum of its proper divisors (1).

400217689441 is an equidigital number, since it uses as much as digits as its factorization.

400217689441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 400217689441 in words is "four hundred billion, two hundred seventeen million, six hundred eighty-nine thousand, four hundred forty-one".