Search a number
-
+
334121340120000 = 263543559782339
BaseRepresentation
bin100101111111000011010111…
…1110010100010101111000000
31121211000200120200011210210220
41023332012233302202233000
5322243221001032320000
63142341120305223040
7130243320166163256
oct11376065762425700
91554020520153726
10334121340120000
1197509078a77254
1231582b54931a80
131145867936b164
145c717b84305d6
1528963e20611a0
hex12fe1afca2bc0

334121340120000 has 280 divisors, whose sum is σ = 1104994915939200. Its totient is φ = 89073875328000.

The previous prime is 334121340119989. The next prime is 334121340120019. The reversal of 334121340120000 is 21043121433.

It is a happy number.

It is a super-2 number, since 2×3341213401200002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426688831 + ... + 427471169.

Almost surely, 2334121340120000 is an apocalyptic number.

334121340120000 is a gapful number since it is divisible by the number (30) 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 334121340120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552497457969600).

334121340120000 is an abundant number, since it is smaller than the sum of its proper divisors (770873575819200).

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

334121340120000 is an equidigital number, since it uses as much as digits as its factorization.

334121340120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785933 (or 785908 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 334121340120000 its reverse (21043121433), we get a palindrome (334142383241433).

The spelling of 334121340120000 in words is "three hundred thirty-four trillion, one hundred twenty-one billion, three hundred forty million, one hundred twenty thousand".