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342042503445 = 32537272975277
BaseRepresentation
bin1001111101000110101…
…00100110100100010101
31012200212112022111020100
410332203110212210111
521101000340102240
6421044313524313
733466063210566
oct4764324464425
91180775274210
10342042503445
11122072092415
1256359413699
13263400ba696
14127aaab016d
158d6d651e30
hex4fa3526915

342042503445 has 48 divisors (see below), whose sum is σ = 609128498160. Its totient is φ = 177424929792.

The previous prime is 342042503443. The next prime is 342042503449. The reversal of 342042503445 is 544305240243.

342042503445 is a `hidden beast` number, since 3 + 4 + 204 + 2 + 5 + 0 + 3 + 445 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 124624532484 + 217417970961 = 353022^2 + 466281^2 .

It is not a de Polignac number, because 342042503445 - 21 = 342042503443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342042503443) 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 47 ways as a sum of consecutive naturals, for example, 4506147 + ... + 4581423.

It is an arithmetic number, because the mean of its divisors is an integer number (12690177045).

Almost surely, 2342042503445 is an apocalyptic number.

It is an amenable number.

342042503445 is a deficient number, since it is larger than the sum of its proper divisors (267085994715).

342042503445 is a wasteful number, since it uses less digits than its factorization.

342042503445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78054 (or 78051 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 342042503445 its reverse (544305240243), we get a palindrome (886347743688).

It can be divided in two parts, 34204 and 2503445, that added together give a square (2537649 = 15932).

The spelling of 342042503445 in words is "three hundred forty-two billion, forty-two million, five hundred three thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 2729 8187 13645 24561 40935 75277 100973 122805 225831 302919 376385 504865 677493 908757 1129155 1514595 2785249 3387465 4543785 8355747 13926245 25067241 41778735 125336205 205430933 616292799 1027154665 1848878397 3081463995 7600944521 9244391985 22802833563 38004722605 68408500689 114014167815 342042503445