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241584046145 = 5133716677633
BaseRepresentation
bin1110000011111110001…
…0000000000001000001
3212002120102000002210122
43200333202000001001
512424231003434040
6302552052310025
723311451340101
oct3407742000101
9762512002718
10241584046145
1193500994592
123a9a2012315
1319a2060c940
14b99abcd201
15643e0581b5
hex383f880041

241584046145 has 8 divisors (see below), whose sum is σ = 312200921256. Its totient is φ = 178400526336.

The previous prime is 241584046141. The next prime is 241584046159. The reversal of 241584046145 is 541640485142.

It is a Cunningham number, because it is equal to 4915122+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 241584046144 = 1^2 + 491512^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 241584046145 - 22 = 241584046141 is a prime.

It is a super-2 number, since 2×2415840461452 (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 = 241584046096 and 241584046105.

It is not an unprimeable number, because it can be changed into a prime (241584046141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1858338752 + ... + 1858338881.

It is an arithmetic number, because the mean of its divisors is an integer number (39025115157).

Almost surely, 2241584046145 is an apocalyptic number.

It is an amenable number.

241584046145 is a deficient number, since it is larger than the sum of its proper divisors (70616875111).

241584046145 is a wasteful number, since it uses less digits than its factorization.

241584046145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716677651.

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 241584046145 in words is "two hundred forty-one billion, five hundred eighty-four million, forty-six thousand, one hundred forty-five".

Divisors: 1 5 13 65 3716677633 18583388165 48316809229 241584046145