Search a number
-
+
144848995200 = 2735527132389
BaseRepresentation
bin1000011011100110101…
…1000100001110000000
3111211212202221100200000
42012321223010032000
54333122320321300
6150313120400000
713315331100360
oct2067153041600
9454782840600
10144848995200
1156480532a98
12240a5776000
131087535c520
1470216229a0
153b7b79ac00
hex21b9ac4380

144848995200 has 2304 divisors, whose sum is σ = 696105446400. Its totient is φ = 28904325120.

The previous prime is 144848995199. The next prime is 144848995259. The reversal of 144848995200 is 2599848441.

It is a happy number.

144848995200 is a `hidden beast` number, since 14 + 48 + 489 + 95 + 20 + 0 = 666.

144848995200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1627516756 + ... + 1627516844.

It is an arithmetic number, because the mean of its divisors is an integer number (302129100).

Almost surely, 2144848995200 is an apocalyptic number.

144848995200 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 144848995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348052723200).

144848995200 is an abundant number, since it is smaller than the sum of its proper divisors (551256451200).

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

144848995200 is a wasteful number, since it uses less digits than its factorization.

144848995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 144848995200 in words is "one hundred forty-four billion, eight hundred forty-eight million, nine hundred ninety-five thousand, two hundred".