Search a number
-
+
1424444221200 = 24352711131185851
BaseRepresentation
bin10100101110100111011…
…111011110011100010000
312001011201222002220002210
4110232213133132130100
5141314230210034300
63010214115112120
7204625025051040
oct24564737363420
95034658086083
101424444221200
114aa11569a4a0
121b00975a2640
13a442ac587a0
144cd2cc3b720
15270be14c050
hex14ba77de710

1424444221200 has 480 divisors, whose sum is σ = 6126509878272. Its totient is φ = 273219840000.

The previous prime is 1424444221181. The next prime is 1424444221217. The reversal of 1424444221200 is 21224444241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608275 + ... + 1794125.

Almost surely, 21424444221200 is an apocalyptic number.

1424444221200 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 1424444221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063254939136).

1424444221200 is an abundant number, since it is smaller than the sum of its proper divisors (4702065657072).

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

1424444221200 is a wasteful number, since it uses less digits than its factorization.

1424444221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185903 (or 1185892 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1424444221200 its reverse (21224444241), we get a palindrome (1445668665441).

The spelling of 1424444221200 in words is "one trillion, four hundred twenty-four billion, four hundred forty-four million, two hundred twenty-one thousand, two hundred".