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242122423041 = 32178386322093
BaseRepresentation
bin1110000101111110011…
…1101111101100000001
3212010221221001111001200
43201133213233230001
512431331320014131
6303121323451413
723331006432042
oct3413747575401
9763857044050
10242122423041
1193757883074
123ab12386b69
1319aa8010855
14ba0c4d48c9
1564714522e6
hex385f9efb01

242122423041 has 48 divisors (see below), whose sum is σ = 375217629696. Its totient is φ = 149908889088.

The previous prime is 242122423031. The next prime is 242122423051. The reversal of 242122423041 is 140324221242.

It is a happy number.

242122423041 is a `hidden beast` number, since 2 + 421 + 2 + 2 + 4 + 230 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (242122423031) and next prime (242122423051).

It is not a de Polignac number, because 242122423041 - 25 = 242122423009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242122422996 and 242122423014.

It is not an unprimeable number, because it can be changed into a prime (242122423031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10948191 + ... + 10970283.

It is an arithmetic number, because the mean of its divisors is an integer number (7817033952).

Almost surely, 2242122423041 is an apocalyptic number.

It is an amenable number.

242122423041 is a deficient number, since it is larger than the sum of its proper divisors (133095206655).

242122423041 is a wasteful number, since it uses less digits than its factorization.

242122423041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23062 (or 23059 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242122423041 its reverse (140324221242), we get a palindrome (382446644283).

The spelling of 242122423041 in words is "two hundred forty-two billion, one hundred twenty-two million, four hundred twenty-three thousand, forty-one".

Divisors: 1 3 9 17 51 83 153 249 747 863 1411 2589 4233 7767 12699 14671 22093 44013 66279 71629 132039 198837 214887 375581 644661 1126743 1217693 1833719 3380229 3653079 5501157 10959237 16503471 19066259 31173223 57198777 93519669 171596331 280559007 324126403 972379209 1582499497 2917137627 4747498491 14242495473 26902491449 80707474347 242122423041