Search a number
-
+
313304525856 = 25337371400081
BaseRepresentation
bin1001000111100100110…
…01111010110000100000
31002221200201201222011000
410203302121322300200
520113121424311411
6355532523152000
731430656346430
oct4436231726040
91087621658130
10313304525856
11110965267513
1250879075600
132371032440a
14112420dc2c0
15823a715956
hex48f267ac20

313304525856 has 192 divisors, whose sum is σ = 1072574818560. Its totient is φ = 87096176640.

The previous prime is 313304525797. The next prime is 313304525857. The reversal of 313304525856 is 658525403313.

313304525856 is a `hidden beast` number, since 3 + 13 + 3 + 0 + 4 + 52 + 585 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (313304525857) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 476265 + ... + 923816.

It is an arithmetic number, because the mean of its divisors is an integer number (5586327180).

Almost surely, 2313304525856 is an apocalyptic number.

313304525856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313304525856 is an abundant number, since it is smaller than the sum of its proper divisors (759270292704).

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

313304525856 is a wasteful number, since it uses less digits than its factorization.

313304525856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400144 (or 1400130 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

It can be divided in two parts, 313304 and 525856, that added together give a triangular number (839160 = T1295).

The spelling of 313304525856 in words is "three hundred thirteen billion, three hundred four million, five hundred twenty-five thousand, eight hundred fifty-six".