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144142322300 = 22521619890317
BaseRepresentation
bin1000011000111110001…
…1010100101001111100
3111210001112012122200122
42012033203110221330
54330200413303200
6150115034114112
713261660344464
oct2061743245174
9453045178618
10144142322300
11561486461a9
1223b28b7b938
1310791b24a92
146d9582cba4
153b3970b385
hex218f8d4a7c

144142322300 has 36 divisors (see below), whose sum is σ = 312982389720. Its totient is φ = 57621251520.

The previous prime is 144142322299. The next prime is 144142322309. The reversal of 144142322300 is 3223241441.

144142322300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144142322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144142322309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283259 + ... + 607058.

It is an arithmetic number, because the mean of its divisors is an integer number (8693955270).

Almost surely, 2144142322300 is an apocalyptic number.

144142322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144142322300 is an abundant number, since it is smaller than the sum of its proper divisors (168840067420).

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

144142322300 is a wasteful number, since it uses less digits than its factorization.

144142322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891950 (or 891943 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 144142322300 its reverse (3223241441), we get a palindrome (147365563741).

The spelling of 144142322300 in words is "one hundred forty-four billion, one hundred forty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1619 3238 6476 8095 16190 32380 40475 80950 161900 890317 1780634 3561268 4451585 8903170 17806340 22257925 44515850 89031700 1441423223 2882846446 5765692892 7207116115 14414232230 28828464460 36035580575 72071161150 144142322300