Search a number
-
+
2316325440000 = 29354111347359
BaseRepresentation
bin100001101101001111110…
…000010100101000000000
322012102211200222011021010
4201231033300110220000
5300422313303040000
64532034421000520
7326230463244405
oct41551760245000
98172750864233
102316325440000
11813391362860
12314b04853140
1313a5756b3540
1480179c7a2ac
15403bda18d50
hex21b4fc14a00

2316325440000 has 1600 divisors, whose sum is σ = 9277686190080. Its totient is φ = 505896960000.

The previous prime is 2316325439993. The next prime is 2316325440001. The reversal of 2316325440000 is 445236132.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2316325440000.

It is not an unprimeable number, because it can be changed into a prime (2316325440001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6452159821 + ... + 6452160179.

Almost surely, 22316325440000 is an apocalyptic number.

2316325440000 is a gapful number since it is divisible by the number (20) 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 2316325440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638843095040).

2316325440000 is an abundant number, since it is smaller than the sum of its proper divisors (6961360750080).

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

2316325440000 is a wasteful number, since it uses less digits than its factorization.

2316325440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 2316325440000 in words is "two trillion, three hundred sixteen billion, three hundred twenty-five million, four hundred forty thousand".