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242063184040 = 23515738545093
BaseRepresentation
bin1110000101110000010…
…1110001000010101000
3212010210210120211102121
43201130011301002220
512431221133342130
6303111410041024
723326360054426
oct3413405610250
9763723524377
10242063184040
11937273a1a17
123aab6579174
1319a9896c0a2
14ba046b4116
15646b14ed7a
hex385c1710a8

242063184040 has 32 divisors (see below), whose sum is σ = 548111236680. Its totient is φ = 96208549632.

The previous prime is 242063184037. The next prime is 242063184043. The reversal of 242063184040 is 40481360242.

It is an interprime number because it is at equal distance from previous prime (242063184037) and next prime (242063184043).

It can be written as a sum of positive squares in 4 ways, for example, as 227454594084 + 14608589956 = 476922^2 + 120866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242063183987 and 242063184005.

It is not an unprimeable number, because it can be changed into a prime (242063184043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19266267 + ... + 19278826.

Almost surely, 2242063184040 is an apocalyptic number.

242063184040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242063184040 is an abundant number, since it is smaller than the sum of its proper divisors (306048052640).

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

242063184040 is a wasteful number, since it uses less digits than its factorization.

242063184040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38545261 (or 38545257 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 242063184040 in words is "two hundred forty-two billion, sixty-three million, one hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 38545093 77090186 154180372 192725465 308360744 385450930 770901860 1541803720 6051579601 12103159202 24206318404 30257898005 48412636808 60515796010 121031592020 242063184040