Search a number
-
+
2440541222000 = 24537192643751
BaseRepresentation
bin100011100000111011100…
…101111011010001110000
322122022110111212200110122
4203200323211323101300
5304441212023101000
65105100312145412
7341215613051420
oct43407345732160
98568414780418
102440541222000
11861033993332
12334bb0398268
131491b0110b6b
14861a1066480
154373db6a085
hex2383b97b470

2440541222000 has 480 divisors, whose sum is σ = 7138467108864. Its totient is φ = 790430400000.

The previous prime is 2440541221991. The next prime is 2440541222023. The reversal of 2440541222000 is 2221450442.

2440541222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3249721625 + ... + 3249722375.

Almost surely, 22440541222000 is an apocalyptic number.

2440541222000 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 2440541222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569233554432).

2440541222000 is an abundant number, since it is smaller than the sum of its proper divisors (4697925886864).

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

2440541222000 is a wasteful number, since it uses less digits than its factorization.

2440541222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 2440541222000 its reverse (2221450442), we get a palindrome (2442762672442).

The spelling of 2440541222000 in words is "two trillion, four hundred forty billion, five hundred forty-one million, two hundred twenty-two thousand".