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241115442642 = 23228961462529
BaseRepresentation
bin1110000010001110011…
…0011010110111010010
3212001100202020120122100
43200203212122313102
512422301023131032
6302433352421230
723264031306114
oct3404346326722
9761322216570
10241115442642
1193290421868
123a8910a7816
13199774cb369
14b95488b3b4
156412d4297c
hex382399add2

241115442642 has 24 divisors (see below), whose sum is σ = 522435960540. Its totient is φ = 80368865280.

The previous prime is 241115442641. The next prime is 241115442649. The reversal of 241115442642 is 246244511142.

241115442642 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 1 + 5 + 4 + 4 + 2 + 642 = 666.

241115442642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 238221110241 + 2894332401 = 488079^2 + 53799^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241115442597 and 241115442606.

It is not an unprimeable number, because it can be changed into a prime (241115442641) by changing a digit.

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, 290034 + ... + 752562.

Almost surely, 2241115442642 is an apocalyptic number.

241115442642 is an abundant number, since it is smaller than the sum of its proper divisors (281320517898).

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

241115442642 is a wasteful number, since it uses less digits than its factorization.

241115442642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491498 (or 491495 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 241115442642 its reverse (246244511142), we get a palindrome (487359953784).

The spelling of 241115442642 in words is "two hundred forty-one billion, one hundred fifteen million, four hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 28961 57922 86883 173766 260649 462529 521298 925058 1387587 2775174 4162761 8325522 13395302369 26790604738 40185907107 80371814214 120557721321 241115442642