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242230004240032 = 25231786271842481
BaseRepresentation
bin110111000100111010010001…
…010110110100111010100000
31011202122221222110221220221201
4313010322101112310322200
5223222144022041140112
62215102532215530544
7102010353213562024
oct6704722126647240
91152587873856851
10242230004240032
1170200193519a96
122320196a389a54
13a521264627b53
1443b5dcd8a0384
151d00e593c3257
hexdc4e915b4ea0

242230004240032 has 48 divisors (see below), whose sum is σ = 497627738540352. Its totient is φ = 115848421032960.

The previous prime is 242230004239969. The next prime is 242230004240053. The reversal of 242230004240032 is 230042400032242.

It is a happy number.

It is a super-2 number, since 2×2422300042400322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130548232 + ... + 132390712.

It is an arithmetic number, because the mean of its divisors is an integer number (10367244552924).

Almost surely, 2242230004240032 is an apocalyptic number.

It is an amenable number.

242230004240032 is an abundant number, since it is smaller than the sum of its proper divisors (255397734300320).

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

242230004240032 is a wasteful number, since it uses less digits than its factorization.

242230004240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021141 (or 2021133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 242230004240032 its reverse (230042400032242), we get a palindrome (472272404272274).

The spelling of 242230004240032 in words is "two hundred forty-two trillion, two hundred thirty billion, four million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 178627 357254 714508 1429016 1842481 2858032 3684962 4108421 5716064 7369924 8216842 14739848 16433684 29479696 32867368 42377063 58959392 65734736 84754126 131469472 169508252 339016504 678033008 1356066016 329116853587 658233707174 1316467414348 2632934828696 5265869657392 7569687632501 10531739314784 15139375265002 30278750530004 60557501060008 121115002120016 242230004240032