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400432310429 is a prime number
BaseRepresentation
bin1011101001110111010…
…00000010100010011101
31102021120211001000102012
411310323220002202131
523030041132413204
6503542302041005
740634041323164
oct5647350024235
91367524030365
10400432310429
11144905666648
1265733b79165
132b9b7083428
14155497783db
15a63984076e
hex5d3ba0289d

400432310429 has 2 divisors, whose sum is σ = 400432310430. Its totient is φ = 400432310428.

The previous prime is 400432310423. The next prime is 400432310461. The reversal of 400432310429 is 924013234004.

It is an a-pointer prime, because the next prime (400432310461) can be obtained adding 400432310429 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 352165099225 + 48267211204 = 593435^2 + 219698^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400432310429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400432310395 and 400432310404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400432310423) 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, 200216155214 + 200216155215.

It is an arithmetic number, because the mean of its divisors is an integer number (200216155215).

Almost surely, 2400432310429 is an apocalyptic number.

It is an amenable number.

400432310429 is a deficient number, since it is larger than the sum of its proper divisors (1).

400432310429 is an equidigital number, since it uses as much as digits as its factorization.

400432310429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 400432310429 in words is "four hundred billion, four hundred thirty-two million, three hundred ten thousand, four hundred twenty-nine".