Search a number
-
+
1442122000000 = 27561165551
BaseRepresentation
bin10100111111000101001…
…010110110011010000000
312002212100221222002201221
4110333011022312122000
5142111431213000000
63022300211204424
7206122061513533
oct24770512663200
95085327862657
101442122000000
11506667300340
121b35ab8a6714
13a5cb74aab26
144db2894ca1a
15277a60a761a
hex14fc52b6680

1442122000000 has 224 divisors, whose sum is σ = 3917706102720. Its totient is φ = 524400000000.

The previous prime is 1442121999959. The next prime is 1442122000013. The reversal of 1442122000000 is 2212441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21967225 + ... + 22032775.

Almost surely, 21442122000000 is an apocalyptic number.

1442122000000 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 1442122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958853051360).

1442122000000 is an abundant number, since it is smaller than the sum of its proper divisors (2475584102720).

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

1442122000000 is an frugal number, since it uses more digits than its factorization.

1442122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65606 (or 65569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1442122000000 its reverse (2212441), we get a palindrome (1442124212441).

The spelling of 1442122000000 in words is "one trillion, four hundred forty-two billion, one hundred twenty-two million", and thus it is an aban number.