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242211013141032 = 233213258772449937
BaseRepresentation
bin110111000100101000100101…
…011001100010001000101000
31011202121010221221212010200200
4313010220211121202020220
5223221341123331003112
62215050111530432200
7102006111462110325
oct6704504531421050
91152533857763620
10242211013141032
11701a3128543251
12231ba14a292660
13a51c528c85970
1443b510b5a1b4c
151d006e6ee5cdc
hexdc4a25662228

242211013141032 has 48 divisors (see below), whose sum is σ = 706448788330740. Its totient is φ = 74526465581568.

The previous prime is 242211013140961. The next prime is 242211013141063. The reversal of 242211013141032 is 230141310112242.

242211013141032 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 110 + 131 + 410 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 238800586674276 + 3410426466756 = 15453174^2 + 1846734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242211013140987 and 242211013141005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129386224033 + ... + 129386225904.

Almost surely, 2242211013141032 is an apocalyptic number.

It is an amenable number.

242211013141032 is an abundant number, since it is smaller than the sum of its proper divisors (464237775189708).

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

242211013141032 is a wasteful number, since it uses less digits than its factorization.

242211013141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258772449962 (or 258772449955 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 242211013141032 its reverse (230141310112242), we get a palindrome (472352323253274).

The spelling of 242211013141032 in words is "two hundred forty-two trillion, two hundred eleven billion, thirteen million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 258772449937 517544899874 776317349811 1035089799748 1552634699622 2070179599496 2328952049433 3105269399244 3364041849181 4657904098866 6210538798488 6728083698362 9315808197732 10092125547543 13456167396724 18631616395464 20184251095086 26912334793448 30276376642629 40368502190172 60552753285258 80737004380344 121105506570516 242211013141032