Search a number
-
+
5406423022000 = 2453711213245501
BaseRepresentation
bin100111010101100011111…
…1011000111100110110000
3201010211220220201211011201
41032223013323013212300
51202034323243201000
615255402040220544
71065413126306620
oct116530773074660
921124826654151
105406423022000
1117a493a93a400
1273397416a754
13302a92310730
1414995a9d2880
1595977e6296a
hex4eac7ec79b0

5406423022000 has 480 divisors, whose sum is σ = 17685241322112. Its totient is φ = 1555488000000.

The previous prime is 5406423021949. The next prime is 5406423022019. The reversal of 5406423022000 is 2203246045.

It is a super-2 number, since 2×54064230220002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5406423022000.

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, 21899250 + ... + 22144750.

Almost surely, 25406423022000 is an apocalyptic number.

5406423022000 is a gapful number since it is divisible by the number (50) 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 5406423022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842620661056).

5406423022000 is an abundant number, since it is smaller than the sum of its proper divisors (12278818300112).

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

5406423022000 is a wasteful number, since it uses less digits than its factorization.

5406423022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245566 (or 245539 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 5406423022000 its reverse (2203246045), we get a palindrome (5408626268045).

The spelling of 5406423022000 in words is "five trillion, four hundred six billion, four hundred twenty-three million, twenty-two thousand".