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242307109009 = 72703212
BaseRepresentation
bin1110000110101010100…
…0010001000010010001
3212011102210120111120201
43201222220101002101
512432221104442014
6303151522135201
723335411305100
oct3415250210221
9764383514521
10242307109009
11938420563a9
123ab641b1501
1319b073655a4
14ba28c4c037
156482783e74
hex386aa11091

242307109009 has 9 divisors (see below), whose sum is σ = 281871461691. Its totient is φ = 207688854240.

The previous prime is 242307108983. The next prime is 242307109013. The reversal of 242307109009 is 900901703242.

The square root of 242307109009 is 492247.

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

It can be written as a sum of positive squares in only one way, i.e., 233769349009 + 8537760000 = 483497^2 + 92400^2 .

It is not a de Polignac number, because 242307109009 - 25 = 242307108977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242307109019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3410569 + ... + 3480889.

It is an arithmetic number, because the mean of its divisors is an integer number (31319051299).

Almost surely, 2242307109009 is an apocalyptic number.

242307109009 is the 492247-th square number.

242307109009 is the 246124-th centered octagonal number.

It is an amenable number.

242307109009 is a deficient number, since it is larger than the sum of its proper divisors (39564352682).

242307109009 is an frugal number, since it uses more digits than its factorization.

242307109009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140656 (or 70328 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 242307109009 in words is "two hundred forty-two billion, three hundred seven million, one hundred nine thousand, nine".

Divisors: 1 7 49 70321 492247 3445729 4945043041 34615301287 242307109009