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242078561298 = 23272165672
BaseRepresentation
bin1110000101110100000…
…0011011010000010010
3212010211212112002001200
43201131000123100102
512431234102430143
6303113115412030
723326634551200
oct3413500332022
9763755462050
10242078561298
11937350450a2
123aabb754016
1319a9bbc4362
14ba06758070
15646c68b1d3
hex385d01b412

242078561298 has 54 divisors (see below), whose sum is σ = 610173612711. Its totient is φ = 69161128344.

The previous prime is 242078561293. The next prime is 242078561311. The reversal of 242078561298 is 892165870242.

242078561298 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 78 + 561 + 2 + 9 + 8 = 666.

242078561298 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 121039280649 + 121039280649 = 347907^2 + 347907^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=347907.

It is a super-3 number, since 3×2420785612983 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242078561293) 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, 14603811 + ... + 14620377.

Almost surely, 2242078561298 is an apocalyptic number.

242078561298 is an abundant number, since it is smaller than the sum of its proper divisors (368095051413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242078561298 is an frugal number, since it uses more digits than its factorization.

242078561298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33156 (or 16579 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 242078561298 in words is "two hundred forty-two billion, seventy-eight million, five hundred sixty-one thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 16567 33134 49701 99402 115969 149103 231938 298206 347907 695814 811783 1043721 1623566 2087442 2435349 4870698 7306047 14612094 274465489 548930978 823396467 1646792934 1921258423 2470189401 3842516846 4940378802 5763775269 11527550538 13448808961 17291325807 26897617922 34582651614 40346426883 80692853766 121039280649 242078561298