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242342144660 = 2257111086114489
BaseRepresentation
bin1110000110110010110…
…1111010101010010100
3212011112020111111110102
43201230231322222110
512432304042112120
6303155213113232
723336315145620
oct3415455725224
9764466444412
10242342144660
119385a906190
123ab73a88818
1319b116b1645
14ba2d76c180
1564858a4d75
hex386cb7aa94

242342144660 has 96 divisors (see below), whose sum is σ = 634598012160. Its totient is φ = 75523046400.

The previous prime is 242342144657. The next prime is 242342144663. The reversal of 242342144660 is 66441243242.

It is an interprime number because it is at equal distance from previous prime (242342144657) and next prime (242342144663).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242342144663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16718696 + ... + 16733184.

It is an arithmetic number, because the mean of its divisors is an integer number (6610395960).

Almost surely, 2242342144660 is an apocalyptic number.

242342144660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242342144660 is an abundant number, since it is smaller than the sum of its proper divisors (392255867500).

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

242342144660 is a wasteful number, since it uses less digits than its factorization.

242342144660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25377 (or 25375 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 242342144660 in words is "two hundred forty-two billion, three hundred forty-two million, one hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 10861 14489 21722 28978 43444 54305 57956 72445 76027 101423 108610 119471 144890 152054 159379 202846 217220 238942 289780 304108 318758 380135 405692 477884 507115 597355 637516 760270 796895 836297 1014230 1115653 1194710 1520540 1593790 1672594 2028460 2231306 2389420 3187580 3345188 4181485 4462612 5578265 8362970 11156530 16725940 22313060 157365029 314730058 629460116 786825145 1101555203 1573650290 1731015319 2203110406 3147300580 3462030638 4406220812 5507776015 6924061276 8655076595 11015552030 12117107233 17310153190 22031104060 24234214466 34620306380 48468428932 60585536165 121171072330 242342144660