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42744322009 = 2328921012
BaseRepresentation
bin100111110011110000…
…101001011111011001
311002022220222112120101
4213303300221133121
51200020021301014
631345251055401
73042146512414
oct476360513731
9132286875511
1042744322009
1117145067864
12834aba1561
1340527b6b3c
1420d6c5ab7b
1511a28c4474
hex9f3c297d9

42744322009 has 27 divisors (see below), whose sum is σ = 45643145149. Its totient is φ = 40026219200.

The previous prime is 42744322001. The next prime is 42744322057. The reversal of 42744322009 is 90022344724.

The square root of 42744322009 is 206747.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2704312009 + 40040010000 = 52003^2 + 200100^2 .

It is not a de Polignac number, because 42744322009 - 23 = 42744322001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42744322001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 423211059 + ... + 423211159.

Almost surely, 242744322009 is an apocalyptic number.

42744322009 is the 206747-th square number.

42744322009 is the 103374-th centered octagonal number.

It is an amenable number.

42744322009 is a deficient number, since it is larger than the sum of its proper divisors (2898823140).

42744322009 is an frugal number, since it uses more digits than its factorization.

42744322009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 42744322009 in words is "forty-two billion, seven hundred forty-four million, three hundred twenty-two thousand, nine".

Divisors: 1 23 89 101 529 2047 2323 7921 8989 10201 47081 53429 182183 206747 234623 800021 907889 4190209 4755181 5396329 18400483 20881447 80802121 423211109 480273281 1858448783 42744322009