Search a number
-
+
2204143514144 = 2511131719278487
BaseRepresentation
bin100000000100110001001…
…100001111001000100000
321210201021112212212022022
4200010301030033020200
5242103041214423034
64404323005001012
7315146505513155
oct40046114171040
97721245785268
102204143514144
1177a854608540
122b7217253168
1312cb08142960
1478976da222c
153c5050c4b2e
hex2013130f220

2204143514144 has 288 divisors, whose sum is σ = 5697057131136. Its totient is φ = 824592752640.

The previous prime is 2204143514117. The next prime is 2204143514233. The reversal of 2204143514144 is 4414153414022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28043669 + ... + 28122155.

It is an arithmetic number, because the mean of its divisors is an integer number (19781448372).

Almost surely, 22204143514144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204143514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848528565568).

2204143514144 is an abundant number, since it is smaller than the sum of its proper divisors (3492913616992).

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

2204143514144 is a wasteful number, since it uses less digits than its factorization.

2204143514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78576 (or 78549 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 2204143514144 its reverse (4414153414022), we get a palindrome (6618296928166).

The spelling of 2204143514144 in words is "two trillion, two hundred four billion, one hundred forty-three million, five hundred fourteen thousand, one hundred forty-four".