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1940436009 = 321922321129
BaseRepresentation
bin111001110101000…
…1011010000101001
312000020021100210100
41303222023100221
512433222423014
6520314140013
766041301561
oct16352132051
95006240710
101940436009
11906364326
12461a21609
1324c0209b5
141459d1da1
15b5549009
hex73a8b429

1940436009 has 54 divisors (see below), whose sum is σ = 3095080170. Its totient is φ = 1171215936.

The previous prime is 1940435993. The next prime is 1940436011. The reversal of 1940436009 is 9006340491.

1940436009 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 43 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1252947609 + 687488400 = 35397^2 + 26220^2 .

It is not a de Polignac number, because 1940436009 - 24 = 1940435993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1940436709) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1718157 + ... + 1719285.

Almost surely, 21940436009 is an apocalyptic number.

1940436009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1940436009 is a deficient number, since it is larger than the sum of its proper divisors (1154644161).

1940436009 is a wasteful number, since it uses less digits than its factorization.

1940436009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1940436009 is about 44050.3803502308. The cubic root of 1940436009 is about 1247.2871317896.

The spelling of 1940436009 in words is "one billion, nine hundred forty million, four hundred thirty-six thousand, nine".

Divisors: 1 3 9 19 23 57 69 171 207 361 437 529 1083 1129 1311 1587 3249 3387 3933 4761 8303 10051 10161 21451 24909 25967 30153 64353 74727 77901 90459 190969 193059 233703 407569 493373 572907 597241 1222707 1480119 1718721 1791723 3668121 4440357 5375169 9374087 11347579 28122261 34042737 84366783 102128211 215604001 646812003 1940436009