Search a number
-
+
313695094104 = 233272317936307
BaseRepresentation
bin1001001000010011010…
…11110100010101011000
31002222200221122220001200
410210021223310111120
520114421421002404
6400035354314200
731443441206400
oct4441153642530
91088627586050
10313695094104
11111045780197
1250967a28960
13237732129a2
141127bd29800
15825eb64839
hex4909af4558

313695094104 has 288 divisors, whose sum is σ = 1033122355200. Its totient is φ = 85635688320.

The previous prime is 313695094099. The next prime is 313695094129. The reversal of 313695094104 is 401490596313.

313695094104 is a `hidden beast` number, since 3 + 1 + 36 + 9 + 509 + 4 + 104 = 666.

It is a super-2 number, since 2×3136950941042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313695094104.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 8621919 + ... + 8658225.

It is an arithmetic number, because the mean of its divisors is an integer number (3587230400).

Almost surely, 2313695094104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313695094104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516561177600).

313695094104 is an abundant number, since it is smaller than the sum of its proper divisors (719427261096).

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

313695094104 is a wasteful number, since it uses less digits than its factorization.

313695094104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36443 (or 36429 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 313695094104 in words is "three hundred thirteen billion, six hundred ninety-five million, ninety-four thousand, one hundred four".