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8000442009 = 34714110127
BaseRepresentation
bin1110111001101110…
…10000111010011001
3202122120020120020000
413130313100322121
5112341103121014
63401513123213
7402154430550
oct73467207231
922576216200
108000442009
11343604a54a
1216733b9509
139a6669371
1455c780d97
1531c586509
hex1dcdd0e99

8000442009 has 20 divisors (see below), whose sum is σ = 13658603904. Its totient is φ = 4571680824.

The previous prime is 8000442001. The next prime is 8000442011. The reversal of 8000442009 is 9002440008.

It is not a de Polignac number, because 8000442009 - 23 = 8000442001 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8000442001) 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 in 19 ways as a sum of consecutive naturals, for example, 7054497 + ... + 7055630.

Almost surely, 28000442009 is an apocalyptic number.

It is an amenable number.

8000442009 is a deficient number, since it is larger than the sum of its proper divisors (5658161895).

8000442009 is a wasteful number, since it uses less digits than its factorization.

8000442009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14110146 (or 14110137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8000442009 is about 89445.1899712891. The cubic root of 8000442009 is about 2000.0368334050.

The spelling of 8000442009 in words is "eight billion, four hundred forty-two thousand, nine".

Divisors: 1 3 7 9 21 27 63 81 189 567 14110127 42330381 98770889 126991143 296312667 380973429 888938001 1142920287 2666814003 8000442009