Search a number
-
+
144403444133200 = 245273113911968591
BaseRepresentation
bin100000110101010110001011…
…111111011110110101010000
3200221021211112022020201002001
4200311112023333132311100
5122411401223144230300
61231042005413003344
742262542650611660
oct4065261377366520
9627254468221061
10144403444133200
114201417a69448a
1214242431323554
1362762565531b5
142793241da81a0
1511a63e941416a
hex83558bfded50

144403444133200 has 240 divisors, whose sum is σ = 412225118126080. Its totient is φ = 47567964096000.

The previous prime is 144403444133153. The next prime is 144403444133203. The reversal of 144403444133200 is 2331444304441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144403444133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144403444133203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080905 + ... + 18049495.

Almost surely, 2144403444133200 is an apocalyptic number.

144403444133200 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 144403444133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206112559063040).

144403444133200 is an abundant number, since it is smaller than the sum of its proper divisors (267821673992880).

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

144403444133200 is a wasteful number, since it uses less digits than its factorization.

144403444133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968786 (or 11968775 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 144403444133200 its reverse (2331444304441), we get a palindrome (146734888437641).

The spelling of 144403444133200 in words is "one hundred forty-four trillion, four hundred three billion, four hundred forty-four million, one hundred thirty-three thousand, two hundred".