Search a number
-
+
1441244400000 = 273552379661
BaseRepresentation
bin10100111110010000110…
…111000100100110000000
312002210002210121101212020
4110332100313010212000
5142103132031300000
63022033141201440
7206061244161126
oct24762067044600
95083083541766
101441244400000
11506256988489
121b33a5a00280
13a5ba77280a2
144da84183916
1527754002ba0
hex14f90dc4980

1441244400000 has 768 divisors, whose sum is σ = 5063975884800. Its totient is φ = 362419200000.

The previous prime is 1441244399951. The next prime is 1441244400007. The reversal of 1441244400000 is 44421441.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441244400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2180399670 + ... + 2180400330.

It is an arithmetic number, because the mean of its divisors is an integer number (6593718600).

Almost surely, 21441244400000 is an apocalyptic number.

1441244400000 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 1441244400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531987942400).

1441244400000 is an abundant number, since it is smaller than the sum of its proper divisors (3622731484800).

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

1441244400000 is an frugal number, since it uses more digits than its factorization.

1441244400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1441244400000 its reverse (44421441), we get a palindrome (1441288821441).

The spelling of 1441244400000 in words is "one trillion, four hundred forty-one billion, two hundred forty-four million, four hundred thousand".