Search a number
-
+
316455066031104 = 210337211213211423
BaseRepresentation
bin100011111110100000110111…
…1110011000101010000000000
31112111110210211122201222102000
41013331001233303011100000
5312434244433400443404
63041013241140424000
7123441060354113400
oct10775015763052000
91474423748658360
10316455066031104
1191917926898500
122b5ab1413a8000
131077677a708c00
145820714db6800
15268bac8624339
hex11fd06fcc5400

316455066031104 has 2376 divisors, whose sum is σ = 1297697938709760. Its totient is φ = 75866700349440.

The previous prime is 316455066031087. The next prime is 316455066031141. The reversal of 316455066031104 is 401130660554613.

316455066031104 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 5 + 506 + 6 + 0 + 31 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a self number, because there is not a number n which added to its sum of digits gives 316455066031104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27703317937 + ... + 27703329359.

Almost surely, 2316455066031104 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 316455066031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648848969354880).

316455066031104 is an abundant number, since it is smaller than the sum of its proper divisors (981242872678656).

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

316455066031104 is a wasteful number, since it uses less digits than its factorization.

316455066031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 316455066031104 in words is "three hundred sixteen trillion, four hundred fifty-five billion, sixty-six million, thirty-one thousand, one hundred four".