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242041445041 = 1122081961241
BaseRepresentation
bin1110000101101011001…
…0110101101010110001
3212010202021200101010111
43201122302311222301
512431200102220131
6303105312101321
723326004223424
oct3413262655261
9763667611114
10242041445041
11937160a4100
123aaab234841
1319a942ca286
14ba018559bb
1564692a8ab1
hex385acb5ab1

242041445041 has 12 divisors (see below), whose sum is σ = 266173677252. Its totient is φ = 219931712000.

The previous prime is 242041445017. The next prime is 242041445057. The reversal of 242041445041 is 140544140242.

It can be written as a sum of positive squares in 2 ways, for example, as 189747360000 + 52294085041 = 435600^2 + 228679^2 .

It is not a de Polignac number, because 242041445041 - 27 = 242041444913 is a prime.

It is a super-2 number, since 2×2420414450412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242041444994 and 242041445012.

It is not an unprimeable number, because it can be changed into a prime (242041445441) 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, 228820 + ... + 732421.

It is an arithmetic number, because the mean of its divisors is an integer number (22181139771).

Almost surely, 2242041445041 is an apocalyptic number.

It is an amenable number.

242041445041 is a deficient number, since it is larger than the sum of its proper divisors (24132232211).

242041445041 is a wasteful number, since it uses less digits than its factorization.

242041445041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963344 (or 963333 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 242041445041 its reverse (140544140242), we get a palindrome (382585585283).

The spelling of 242041445041 in words is "two hundred forty-two billion, forty-one million, four hundred forty-five thousand, forty-one".

Divisors: 1 11 121 2081 22891 251801 961241 10573651 116310161 2000342521 22003767731 242041445041