Search a number
-
+
42149321809 = 7213922112
BaseRepresentation
bin100111010000010010…
…111001110001010001
311000210110101101201221
4213100102321301101
51142310211244214
631210234125041
73021333216100
oct472022716121
9130713341657
1042149321809
111696a214361
128203880781
133c8944bc0a
14207bc16037
15116a542e24
hex9d04b9c51

42149321809 has 27 divisors (see below), whose sum is σ = 49621288041. Its totient is φ = 35698085640.

The previous prime is 42149321791. The next prime is 42149321813. The reversal of 42149321809 is 90812394124.

The square root of 42149321809 is 205303.

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

It is not a de Polignac number, because 42149321809 - 27 = 42149321681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42149321509) 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, 199759714 + ... + 199759924.

It is an arithmetic number, because the mean of its divisors is an integer number (1837825483).

Almost surely, 242149321809 is an apocalyptic number.

42149321809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42149321809 is the 205303-rd square number.

42149321809 is the 102652-nd centered octagonal number.

It is an amenable number.

42149321809 is a deficient number, since it is larger than the sum of its proper divisors (7471966232).

42149321809 is an frugal number, since it uses more digits than its factorization.

42149321809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 42149321809 in words is "forty-two billion, one hundred forty-nine million, three hundred twenty-one thousand, eight hundred nine".

Divisors: 1 7 49 139 211 973 1477 6811 10339 19321 29329 44521 135247 205303 311647 946729 1437121 2181529 4076731 6188419 28537117 43318933 199759819 303232531 860190241 6021331687 42149321809