Search a number
-
+
345431464134543 = 33312156319139353
BaseRepresentation
bin100111010001010110000011…
…1101101101100011110001111
31200022001220222122212201222000
41032202230013231230132033
5330234022114304301133
63222401005054523343
7132521412462115533
oct11642540755543617
91608056878781860
10345431464134543
11a0079730140426
12328aab22506553
1311a9907cbac557
146142d8750dbc3
1529e06e9ad2413
hex13a2b07b6c78f

345431464134543 has 32 divisors (see below), whose sum is σ = 528282917959680. Its totient is φ = 222848662224960.

The previous prime is 345431464134541. The next prime is 345431464134619.

345431464134543 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 3 + 1 + 4 + 64 + 1 + 34 + 543 = 666.

345431464134543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345431464134543 - 21 = 345431464134541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345431464134543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345431464134541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8478555 + ... + 27617907.

It is an arithmetic number, because the mean of its divisors is an integer number (16508841186240).

Almost surely, 2345431464134543 is an apocalyptic number.

345431464134543 is a deficient number, since it is larger than the sum of its proper divisors (182851453825137).

345431464134543 is a wasteful number, since it uses less digits than its factorization.

345431464134543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19160956 (or 19160950 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 345431464134543 in words is "three hundred forty-five trillion, four hundred thirty-one billion, four hundred sixty-four million, one hundred thirty-four thousand, five hundred forty-three".

Divisors: 1 3 9 27 31 93 279 837 21563 64689 194067 582201 668453 2005359 6016077 18048231 19139353 57418059 172254177 516762531 593319943 1779959829 5339879487 16019638461 412701868739 1238105606217 3714316818651 11142950455953 12793757930909 38381273792727 115143821378181 345431464134543