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353361712041 = 321313612219093
BaseRepresentation
bin1010010010001011111…
…11111101001110101001
31020210002101101212100100
411021011333331032221
521242141044241131
6430155423500013
734346426665002
oct5110577751651
91223071355310
10353361712041
11126950524368
1258598157609
13274251a9c50
14131621141a9
1592d22467e6
hex5245ffd3a9

353361712041 has 24 divisors (see below), whose sum is σ = 550077897096. Its totient is φ = 217293488640.

The previous prime is 353361711949. The next prime is 353361712057. The reversal of 353361712041 is 140217163353.

353361712041 is a `hidden beast` number, since 3 + 5 + 33 + 617 + 1 + 2 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3257555625 + 350104156416 = 57075^2 + 591696^2 .

It is not a de Polignac number, because 353361712041 - 214 = 353361695657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 353361711987 and 353361712005.

It is not an unprimeable number, because it can be changed into a prime (353361712741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950310 + ... + 1268783.

It is an arithmetic number, because the mean of its divisors is an integer number (22919912379).

Almost surely, 2353361712041 is an apocalyptic number.

It is an amenable number.

353361712041 is a deficient number, since it is larger than the sum of its proper divisors (196716185055).

353361712041 is a wasteful number, since it uses less digits than its factorization.

353361712041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220473 (or 2220470 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 353361712041 its reverse (140217163353), we get a palindrome (493578875394).

The spelling of 353361712041 in words is "three hundred fifty-three billion, three hundred sixty-one million, seven hundred twelve thousand, forty-one".

Divisors: 1 3 9 13 39 117 1361 4083 12249 17693 53079 159237 2219093 6657279 19971837 28848209 86544627 259633881 3020185573 9060556719 27181670157 39262412449 117787237347 353361712041