Search a number
-
+
323213381300880 = 24325723115116312007
BaseRepresentation
bin100100101111101011111101…
…0110001110111001010010000
31120101101220020021020120101200
41021133113322301313022100
5314331012001103112010
63103230102203431200
7125036252616062100
oct11137277261671220
91511356207216350
10323213381300880
1193a93030652884
1230300b03525500
1310b46b77901915
1459b587acd1200
1527577c602ccc0
hex125f5fac77290

323213381300880 has 1440 divisors, whose sum is σ = 1320198532743168. Its totient is φ = 70579143936000.

The previous prime is 323213381300809. The next prime is 323213381300987. The reversal of 323213381300880 is 88003183312323.

323213381300880 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 1 + 338 + 1 + 300 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26918739837 + ... + 26918751843.

Almost surely, 2323213381300880 is an apocalyptic number.

323213381300880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323213381300880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660099266371584).

323213381300880 is an abundant number, since it is smaller than the sum of its proper divisors (996985151442288).

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

323213381300880 is a wasteful number, since it uses less digits than its factorization.

323213381300880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 323213381300880 in words is "three hundred twenty-three trillion, two hundred thirteen billion, three hundred eighty-one million, three hundred thousand, eight hundred eighty".