Search a number
-
+
6228541440000 = 225335411
BaseRepresentation
bin101101010100011001000…
…0000000000000000000000
3211001102221202120121121000
41122220302000000000000
51304022023102040000
621125204043132000
71211666030462415
oct132506200000000
924042852517530
106228541440000
111a915672a09a0
12847171b14000
1336246c800bb9
1417766a72210c
15ac042e75000
hex5aa32000000

6228541440000 has 1040 divisors, whose sum is σ = 25157770561440. Its totient is φ = 1509949440000.

The previous prime is 6228541439999. The next prime is 6228541440001. The reversal of 6228541440000 is 441458226.

It is an interprime number because it is at equal distance from previous prime (6228541439999) and next prime (6228541440001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6228541440001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566231039995 + ... + 566231040005.

Almost surely, 26228541440000 is an apocalyptic number.

6228541440000 is a gapful number since it is divisible by the number (60) 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 6228541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578885280720).

6228541440000 is an abundant number, since it is smaller than the sum of its proper divisors (18929229121440).

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

6228541440000 is an frugal number, since it uses more digits than its factorization.

6228541440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 6228541440000 its reverse (441458226), we get a palindrome (6228982898226).

The spelling of 6228541440000 in words is "six trillion, two hundred twenty-eight billion, five hundred forty-one million, four hundred forty thousand".