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400034001427 is a prime number
BaseRepresentation
bin1011101001000111110…
…00100111001000010011
31102020120001112211011221
411310203320213020103
523023232201021202
6503434552545511
740621133623354
oct5644370471023
91366501484157
10400034001427
11144720846155
12656426b2297
132b9526b4728
141550c8d3d2b
15a6148b3037
hex5d23e27213

400034001427 has 2 divisors, whose sum is σ = 400034001428. Its totient is φ = 400034001426.

The previous prime is 400034001397. The next prime is 400034001439. The reversal of 400034001427 is 724100430004.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400034001427 is a prime.

It is not a weakly prime, because it can be changed into another prime (400034001457) 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, 200017000713 + 200017000714.

It is an arithmetic number, because the mean of its divisors is an integer number (200017000714).

Almost surely, 2400034001427 is an apocalyptic number.

400034001427 is a deficient number, since it is larger than the sum of its proper divisors (1).

400034001427 is an equidigital number, since it uses as much as digits as its factorization.

400034001427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 25.

The spelling of 400034001427 in words is "four hundred billion, thirty-four million, one thousand, four hundred twenty-seven".