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123042303144 = 23324197429701
BaseRepresentation
bin111001010010111100…
…1001000110010101000
3102202121000210121211200
41302211321020302220
54003442312200034
6132305211324200
711614050214605
oct1624571106250
9382530717750
10123042303144
1148200199542
121ba1a750660
13b7ab590847
145d534016ac
153302103a99
hex1ca5e48ca8

123042303144 has 96 divisors (see below), whose sum is σ = 344887419240. Its totient is φ = 39601152000.

The previous prime is 123042303133. The next prime is 123042303149. The reversal of 123042303144 is 441303240321.

123042303144 is a `hidden beast` number, since 1 + 230 + 423 + 0 + 3 + 1 + 4 + 4 = 666.

123042303144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108793106244 + 14249196900 = 329838^2 + 119370^2 .

It is not an unprimeable number, because it can be changed into a prime (123042303149) 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 23 ways as a sum of consecutive naturals, for example, 71494 + ... + 501194.

Almost surely, 2123042303144 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 123042303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172443709620).

123042303144 is an abundant number, since it is smaller than the sum of its proper divisors (221845116096).

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

123042303144 is a wasteful number, since it uses less digits than its factorization.

123042303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429851 (or 429844 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123042303144 its reverse (441303240321), we get a palindrome (564345543465).

The spelling of 123042303144 in words is "one hundred twenty-three billion, forty-two million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 97 123 164 194 246 291 328 369 388 492 582 738 776 873 984 1164 1476 1746 2328 2952 3492 3977 6984 7954 11931 15908 23862 31816 35793 47724 71586 95448 143172 286344 429701 859402 1289103 1718804 2578206 3437608 3867309 5156412 7734618 10312824 15469236 17617741 30938472 35235482 41680997 52853223 70470964 83361994 105706446 125042991 140941928 158559669 166723988 211412892 250085982 317119338 333447976 375128973 422825784 500171964 634238676 750257946 1000343928 1268477352 1500515892 1708920877 3001031784 3417841754 5126762631 6835683508 10253525262 13671367016 15380287893 20507050524 30760575786 41014101048 61521151572 123042303144