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241222424222142 = 232112172993640223
BaseRepresentation
bin110110110110001111111000…
…111010000101100110111110
31011122002122020111101200201100
4312312033320322011212332
5223104142011100102032
62213012015111153530
7101544513355000326
oct6666177072054676
91148078214350640
10241222424222142
116a9519458aa500
122307a6319758a6
13a47a23bb35a2c
14437d328876286
151cd4b3747097c
hexdb63f8e859be

241222424222142 has 72 divisors (see below), whose sum is σ = 574485721572672. Its totient is φ = 73097167587840.

The previous prime is 241222424222111. The next prime is 241222424222209.

241222424222142 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 2 + 424 + 2 + 221 + 4 + 2 = 666.

241222424222142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241222424222097 and 241222424222106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376458643 + ... + 377098865.

It is an arithmetic number, because the mean of its divisors is an integer number (7978968355176).

Almost surely, 2241222424222142 is an apocalyptic number.

241222424222142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241222424222142 is an abundant number, since it is smaller than the sum of its proper divisors (333263297350530).

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

241222424222142 is a wasteful number, since it uses less digits than its factorization.

241222424222142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813246 (or 813232 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 241222424222142 in words is "two hundred forty-one trillion, two hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 172993 345986 518979 640223 1037958 1280446 1556937 1902923 1920669 3113874 3805846 3841338 5708769 5762007 7042453 11417538 11524014 14084906 17126307 20932153 21127359 34252614 41864306 42254718 62796459 63382077 77466983 125592918 126764154 154933966 188389377 232400949 376778754 464801898 697202847 1394405694 110754097439 221508194878 332262292317 664524584634 996786876951 1218295071829 1993573753902 2436590143658 3654885215487 7309770430974 10964655646461 13401245790119 21929311292922 26802491580238 40203737370357 80407474740714 120611212111071 241222424222142