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7429122401 is a prime number
BaseRepresentation
bin1101110101100111…
…10110100101100001
3201011202012112001112
412322303312211201
5110203323404101
63225103513105
7352046332661
oct67263664541
921152175045
107429122401
113172600688
121533bb8795
139151a2c1c
145069421a1
152d73316bb
hex1bacf6961

7429122401 has 2 divisors, whose sum is σ = 7429122402. Its totient is φ = 7429122400.

The previous prime is 7429122391. The next prime is 7429122431. The reversal of 7429122401 is 1042219247.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7271996176 + 157126225 = 85276^2 + 12535^2 .

It is a cyclic number.

It is not a de Polignac number, because 7429122401 - 214 = 7429106017 is a prime.

It is not a weakly prime, because it can be changed into another prime (7429122431) 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, 3714561200 + 3714561201.

It is an arithmetic number, because the mean of its divisors is an integer number (3714561201).

Almost surely, 27429122401 is an apocalyptic number.

It is an amenable number.

7429122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7429122401 is an equidigital number, since it uses as much as digits as its factorization.

7429122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7429122401 is about 86192.3569755463. The cubic root of 7429122401 is about 1951.2481512556.

The spelling of 7429122401 in words is "seven billion, four hundred twenty-nine million, one hundred twenty-two thousand, four hundred one".