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242113104144 = 243211231497187
BaseRepresentation
bin1110000101111100010…
…0001100100100010000
3212010221021112000221100
43201133010030210100
512431321423313034
6303120352024400
723330534300202
oct3413704144420
9763837460840
10242113104144
11937525986aa
123ab0b232100
1319aa60ca002
14ba0b18a772
156470711099
hex385f10c910

242113104144 has 60 divisors (see below), whose sum is σ = 678184242736. Its totient is φ = 80632449216.

The previous prime is 242113104143. The next prime is 242113104187. The reversal of 242113104144 is 441401311242.

242113104144 is a `hidden beast` number, since 2 + 4 + 211 + 31 + 0 + 414 + 4 = 666.

242113104144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242113104143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586882 + ... + 910305.

Almost surely, 2242113104144 is an apocalyptic number.

242113104144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242113104144 is an abundant number, since it is smaller than the sum of its proper divisors (436071138592).

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

242113104144 is a wasteful number, since it uses less digits than its factorization.

242113104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498324 (or 1498315 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 242113104144 its reverse (441401311242), we get a palindrome (683514415386).

The spelling of 242113104144 in words is "two hundred forty-two billion, one hundred thirteen million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1123 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 40428 53904 80856 161712 1497187 2994374 4491561 5988748 8983122 11977496 13474683 17966244 23954992 26949366 35932488 53898732 71864976 107797464 215594928 1681341001 3362682002 5044023003 6725364004 10088046006 13450728008 15132069009 20176092012 26901456016 30264138018 40352184024 60528276036 80704368048 121056552072 242113104144