Search a number
-
+
315044466984 = 23351319656113
BaseRepresentation
bin1001001010110100001…
…11010001000100101000
31010010011222202010200000
410211122013101010220
520130202340420414
6400421320143000
731522044533202
oct4453207210450
91103158663600
10315044466984
1111167842aa95
1251083907a60
1323929946790
141136921d772
1582dd358b09
hex495a1d1128

315044466984 has 192 divisors, whose sum is σ = 1003067083200. Its totient is φ = 91834684416.

The previous prime is 315044466967. The next prime is 315044467009. The reversal of 315044466984 is 489664440513.

315044466984 is a `hidden beast` number, since 3 + 1 + 50 + 44 + 466 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 315044466984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152112 + ... + 808224.

It is an arithmetic number, because the mean of its divisors is an integer number (5224307725).

Almost surely, 2315044466984 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 315044466984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501533541600).

315044466984 is an abundant number, since it is smaller than the sum of its proper divisors (688022616216).

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

315044466984 is a wasteful number, since it uses less digits than its factorization.

315044466984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656166 (or 656150 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 315044466984 in words is "three hundred fifteen billion, forty-four million, four hundred sixty-six thousand, nine hundred eighty-four".