Search a number
-
+
313794497313 = 3311296049739
BaseRepresentation
bin1001001000011111001…
…11000000101100100001
31002222221212201002122000
410210033213000230201
520120122342403223
6400053305034213
731446056134563
oct4441747005441
91088855632560
10313794497313
111110968a4300
1250995185969
132378a9a795b
141128b203333
15826874c543
hex490f9c0b21

313794497313 has 24 divisors (see below), whose sum is σ = 510984616800. Its totient is φ = 190178481240.

The previous prime is 313794497293. The next prime is 313794497323.

313794497313 is a `hidden beast` number, since 3 + 1 + 37 + 94 + 497 + 31 + 3 = 666.

313794497313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313794497313 - 225 = 313760942881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313794497313.

It is not an unprimeable number, because it can be changed into a prime (313794497323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48021603 + ... + 48028136.

It is an arithmetic number, because the mean of its divisors is an integer number (21291025700).

Almost surely, 2313794497313 is an apocalyptic number.

313794497313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313794497313 is a deficient number, since it is larger than the sum of its proper divisors (197190119487).

313794497313 is a wasteful number, since it uses less digits than its factorization.

313794497313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96049770 (or 96049753 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The spelling of 313794497313 in words is "three hundred thirteen billion, seven hundred ninety-four million, four hundred ninety-seven thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 96049739 288149217 864447651 1056547129 2593342953 3169641387 9508924161 11622018419 28526772483 34866055257 104598165771 313794497313