Search a number
-
+
144225521500 = 2253997289319
BaseRepresentation
bin1000011001010010000…
…0101100111101011100
3111210021022202121112111
42012110200230331130
54330333213142000
6150131205243404
713264020463654
oct2062440547534
9453238677474
10144225521500
1156190601a75
1223b50a03564
13107a6135388
146da28c9364
153b41b92cba
hex219482cf5c

144225521500 has 48 divisors (see below), whose sum is σ = 315305565120. Its totient is φ = 57632145600.

The previous prime is 144225521497. The next prime is 144225521509. The reversal of 144225521500 is 5125522441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144225521509) 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 15 ways as a sum of consecutive naturals, for example, 353841 + ... + 643159.

It is an arithmetic number, because the mean of its divisors is an integer number (6568865940).

Almost surely, 2144225521500 is an apocalyptic number.

144225521500 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 144225521500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157652782560).

144225521500 is an abundant number, since it is smaller than the sum of its proper divisors (171080043620).

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

144225521500 is a wasteful number, since it uses less digits than its factorization.

144225521500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290335 (or 290323 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 144225521500 in words is "one hundred forty-four billion, two hundred twenty-five million, five hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 997 1994 3988 4985 9970 19940 24925 49850 99700 124625 249250 289319 498500 578638 1157276 1446595 2893190 5786380 7232975 14465950 28931900 36164875 72329750 144659500 288451043 576902086 1153804172 1442255215 2884510430 5769020860 7211276075 14422552150 28845104300 36056380375 72112760750 144225521500