Search a number
-
+
423313202313324 = 223211758700064259
BaseRepresentation
bin110000001000000000100100…
…1000011010111100001101100
32001111211100100220101221011100
41200100001021003113201230
5420441030414243011244
64100151222301123100
7155110240526652261
oct14020011103274154
92044740326357140
10423313202313324
11112976136a54054
123b588b26b59490
13152283574491ab
14767667b091268
1533e1533e7db69
hex18100490d786c

423313202313324 has 18 divisors (see below), whose sum is σ = 1070041705847660. Its totient is φ = 141104400771096.

The previous prime is 423313202313299. The next prime is 423313202313359.

423313202313324 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 1 + 320 + 2 + 3 + 1 + 3 + 324 = 666.

423313202313324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×4233132023133243 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11758700064259 = 423313202313324 / (4 + 2 + 3 + 3 + 1 + 3 + 2 + 0 + 2 + 3 + 1 + 3 + 3 + 2 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5879350032094 + ... + 5879350032165.

Almost surely, 2423313202313324 is an apocalyptic number.

It is an amenable number.

423313202313324 is an abundant number, since it is smaller than the sum of its proper divisors (646728503534336).

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

423313202313324 is a wasteful number, since it uses less digits than its factorization.

423313202313324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758700064269 (or 11758700064264 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 42331320 and 2313324, that added together give a palindrome (44644644).

The spelling of 423313202313324 in words is "four hundred twenty-three trillion, three hundred thirteen billion, two hundred two million, three hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11758700064259 23517400128518 35276100192777 47034800257036 70552200385554 105828300578331 141104400771108 211656601156662 423313202313324