Search a number
-
+
5414303484800 = 275271991214623
BaseRepresentation
bin100111011001001110110…
…1000101100101110000000
3201011121021010012210212022
41032302131220230232000
51202201443143003200
615303144030021012
71066112326164050
oct116623550545600
921147233183768
105414303484800
1117a8214191781
127353b3347768
13303749b5c482
1414a0a7461560
1595c89be9885
hex4ec9da2cb80

5414303484800 has 192 divisors, whose sum is σ = 15362564352000. Its totient is φ = 1847002798080.

The previous prime is 5414303484773. The next prime is 5414303484823. The reversal of 5414303484800 is 84843034145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850289 + ... + 5064911.

It is an arithmetic number, because the mean of its divisors is an integer number (80013356000).

Almost surely, 25414303484800 is an apocalyptic number.

5414303484800 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 5414303484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681282176000).

5414303484800 is an abundant number, since it is smaller than the sum of its proper divisors (9948260867200).

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

5414303484800 is a wasteful number, since it uses less digits than its factorization.

5414303484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214853 (or 1214836 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 5414303484800 in words is "five trillion, four hundred fourteen billion, three hundred three million, four hundred eighty-four thousand, eight hundred".