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242110313040 = 243517563105401
BaseRepresentation
bin1110000101111011100…
…1100011001001010000
3212010221002021020021010
43201132321203021100
512431320220004130
6303120212130520
723330501463651
oct3413671431120
9763832236233
10242110313040
1193750a61702
123ab0a306a40
1319aa566077b
14ba0aa61528
15647035e0b0
hex385ee63250

242110313040 has 160 divisors (see below), whose sum is σ = 796110581376. Its totient is φ = 60656435200.

The previous prime is 242110313021. The next prime is 242110313051. The reversal of 242110313040 is 40313011242.

It is a junction number, because it is equal to n+sod(n) for n = 242110312998 and 242110313016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244340 + ... + 2349740.

Almost surely, 2242110313040 is an apocalyptic number.

242110313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242110313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398055290688).

242110313040 is an abundant number, since it is smaller than the sum of its proper divisors (554000268336).

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

242110313040 is a wasteful number, since it uses less digits than its factorization.

242110313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105997 (or 105991 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 242110313040 its reverse (40313011242), we get a palindrome (282423324282).

The spelling of 242110313040 in words is "two hundred forty-two billion, one hundred ten million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 563 680 816 1020 1126 1360 1689 2040 2252 2815 3378 4080 4504 5630 6756 8445 9008 9571 11260 13512 16890 19142 22520 27024 28713 33780 38284 45040 47855 57426 67560 76568 95710 105401 114852 135120 143565 153136 191420 210802 229704 287130 316203 382840 421604 459408 527005 574260 632406 765680 843208 1054010 1148520 1264812 1581015 1686416 1791817 2108020 2297040 2529624 3162030 3583634 4216040 5059248 5375451 6324060 7167268 8432080 8959085 10750902 12648120 14334536 17918170 21501804 25296240 26877255 28669072 35836340 43003608 53754510 59340763 71672680 86007216 107509020 118681526 143345360 178022289 215018040 237363052 296703815 356044578 430036080 474726104 593407630 712089156 890111445 949452208 1008792971 1186815260 1424178312 1780222890 2017585942 2373630520 2848356624 3026378913 3560445780 4035171884 4747261040 5043964855 6052757826 7120891560 8070343768 10087929710 12105515652 14241783120 15131894565 16140687536 20175859420 24211031304 30263789130 40351718840 48422062608 60527578260 80703437680 121055156520 242110313040