Search a number
-
+
2445223440000 = 27354113725033
BaseRepresentation
bin100011100101010010101…
…011001010111010000000
322122202112211022000002010
4203211102223022322000
5310030304200040000
65111153052252520
7341442626205645
oct43452253127200
98582484260063
102445223440000
11863016980a90
12335a98471140
13149778186c63
14864c6c45dcc
1543914c4dd50
hex23952acae80

2445223440000 has 640 divisors, whose sum is σ = 9093818796480. Its totient is φ = 576737280000.

The previous prime is 2445223439999. The next prime is 2445223440017. The reversal of 2445223440000 is 443225442.

It is a tau number, because it is divible by the number of its divisors (640).

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 2445223440000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97667484 + ... + 97692516.

Almost surely, 22445223440000 is an apocalyptic number.

2445223440000 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 2445223440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546909398240).

2445223440000 is an abundant number, since it is smaller than the sum of its proper divisors (6648595356480).

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

2445223440000 is a wasteful number, since it uses less digits than its factorization.

2445223440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25118 (or 25091 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 2445223440000 its reverse (443225442), we get a palindrome (2445666665442).

The spelling of 2445223440000 in words is "two trillion, four hundred forty-five billion, two hundred twenty-three million, four hundred forty thousand".