Search a number
-
+
144489365728 = 252347103107379
BaseRepresentation
bin1000011010010000111…
…1001100000011100000
3111210221201020021202221
42012210033030003200
54331403234200403
6150213312320424
713303403226061
oct2064417140340
9453851207687
10144489365728
1156306531054
1224005243114
13108189b4316
146dc996a568
153b59e0ddbd
hex21a43cc0e0

144489365728 has 192 divisors, whose sum is σ = 309765980160. Its totient is φ = 66175667712.

The previous prime is 144489365723. The next prime is 144489365737. The reversal of 144489365728 is 827563984441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144489365723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381238243 + ... + 381238621.

It is an arithmetic number, because the mean of its divisors is an integer number (1613364480).

Almost surely, 2144489365728 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 144489365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154882990080).

144489365728 is an abundant number, since it is smaller than the sum of its proper divisors (165276614432).

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

144489365728 is a wasteful number, since it uses less digits than its factorization.

144489365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 61.

The spelling of 144489365728 in words is "one hundred forty-four billion, four hundred eighty-nine million, three hundred sixty-five thousand, seven hundred twenty-eight".