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242040660642 = 232111585977081
BaseRepresentation
bin1110000101101010111…
…1110110001010100010
3212010202020012112010200
43201122233312022202
512431144402120032
6303105243210030
723325664445514
oct3413257661242
9763666175120
10242040660642
1193715708840
123aaaab16916
1319a940b4231
14ba016cdbb4
1564691a147c
hex385abf62a2

242040660642 has 48 divisors (see below), whose sum is σ = 572139603360. Its totient is φ = 73340078400.

The previous prime is 242040660613. The next prime is 242040660647. The reversal of 242040660642 is 246066040242.

242040660642 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 4 + 0 + 6 + 6 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242040660597 and 242040660606.

It is not an unprimeable number, because it can be changed into a prime (242040660647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3101542 + ... + 3178622.

It is an arithmetic number, because the mean of its divisors is an integer number (11919575070).

Almost surely, 2242040660642 is an apocalyptic number.

242040660642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242040660642 is an abundant number, since it is smaller than the sum of its proper divisors (330098942718).

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

242040660642 is a wasteful number, since it uses less digits than its factorization.

242040660642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92959 (or 92956 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 242040660642 in words is "two hundred forty-two billion, forty million, six hundred sixty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 15859 31718 47577 77081 95154 142731 154162 174449 231243 285462 348898 462486 523347 693729 847891 1046694 1387458 1570041 1695782 2543673 3140082 5087346 7631019 15262038 1222427579 2444855158 3667282737 7334565474 11001848211 13446703369 22003696422 26893406738 40340110107 80680220214 121020330321 242040660642