Search a number
-
+
312313218741 = 3234701468749
BaseRepresentation
bin1001000101101110101…
…00011000011010110101
31002212010122102100102200
410202313110120122311
520104104140444431
6355250312055113
731364261362266
oct4426724303265
91085118370380
10312313218741
111104a6740837
1250641094499
13235b2b3bb64
141118a5b496d
1581cd69eee6
hex48b75186b5

312313218741 has 6 divisors (see below), whose sum is σ = 451119093750. Its totient is φ = 208208812488.

The previous prime is 312313218709. The next prime is 312313218793. The reversal of 312313218741 is 147812313213.

312313218741 is a `hidden beast` number, since 31 + 231 + 321 + 8 + 74 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272264804100 + 40048414641 = 521790^2 + 200121^2 .

It is not a de Polignac number, because 312313218741 - 25 = 312313218709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312313218696 and 312313218705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313216741) 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 5 ways as a sum of consecutive naturals, for example, 17350734366 + ... + 17350734383.

It is an arithmetic number, because the mean of its divisors is an integer number (75186515625).

Almost surely, 2312313218741 is an apocalyptic number.

It is an amenable number.

312313218741 is a deficient number, since it is larger than the sum of its proper divisors (138805875009).

312313218741 is a wasteful number, since it uses less digits than its factorization.

312313218741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34701468755 (or 34701468752 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 312313218741 in words is "three hundred twelve billion, three hundred thirteen million, two hundred eighteen thousand, seven hundred forty-one".

Divisors: 1 3 9 34701468749 104104406247 312313218741