Search a number
-
+
130424420000000 = 285775931571
BaseRepresentation
bin11101101001111011001101…
…001110010110000100000000
3122002210110020002010012011002
4131221323031032112010000
5114043333203010000000
61141220052411311132
736320565466163660
oct3551731516260400
9562713202105132
10130424420000000
113861475aa29005
121276516244b4a8
1357a0c7c214569
14242c80b68a1a0
151012989c978d5
hex769ecd396100

130424420000000 has 576 divisors, whose sum is σ = 372776739439104. Its totient is φ = 44613120000000.

The previous prime is 130424419999921. The next prime is 130424420000053. The reversal of 130424420000000 is 24424031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83019999215 + ... + 83020000785.

It is an arithmetic number, because the mean of its divisors is an integer number (647181839304).

Almost surely, 2130424420000000 is an apocalyptic number.

130424420000000 is a gapful number since it is divisible by the number (10) 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 130424420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186388369719552).

130424420000000 is an abundant number, since it is smaller than the sum of its proper divisors (242352319439104).

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

130424420000000 is an frugal number, since it uses more digits than its factorization.

130424420000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 130424420000000 its reverse (24424031), we get a palindrome (130424444424031).

The spelling of 130424420000000 in words is "one hundred thirty trillion, four hundred twenty-four billion, four hundred twenty million", and thus it is an aban number.