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12024005230240 = 255612774447537
BaseRepresentation
bin1010111011111000111010…
…0011110111111010100000
31120120111001121011011000221
42232332032203313322200
53034000130314331430
641323430213252424
72350464026055343
oct256761643677240
946514047134027
1012024005230240
11391639653a663
1214223bb034114
13692b21aca733
142d7d71bba45a
1515cb8a5e657a
hexaef8e8f7ea0

12024005230240 has 96 divisors (see below), whose sum is σ = 28976635157904. Its totient is φ = 4713676554240.

The previous prime is 12024005230217. The next prime is 12024005230243. The reversal of 12024005230240 is 4203250042021.

It can be written as a sum of positive squares in 8 ways, for example, as 89992800144 + 11934012430096 = 299988^2 + 3454564^2 .

It is not an unprimeable number, because it can be changed into a prime (12024005230243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479752 + ... + 4927288.

Almost surely, 212024005230240 is an apocalyptic number.

12024005230240 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 12024005230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488317578952).

12024005230240 is an abundant number, since it is smaller than the sum of its proper divisors (16952629927664).

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

12024005230240 is a wasteful number, since it uses less digits than its factorization.

12024005230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447890 (or 4447882 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12024005230240 its reverse (4203250042021), we get a palindrome (16227255272261).

The spelling of 12024005230240 in words is "twelve trillion, twenty-four billion, five million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 277 305 488 554 610 976 1108 1220 1385 1952 2216 2440 2770 4432 4880 5540 8864 9760 11080 16897 22160 33794 44320 67588 84485 135176 168970 270352 337940 540704 675880 1351760 2703520 4447537 8895074 17790148 22237685 35580296 44475370 71160592 88950740 142321184 177901480 271299757 355802960 542599514 711605920 1085199028 1231967749 1356498785 2170398056 2463935498 2712997570 4340796112 4927870996 5425995140 6159838745 8681592224 9855741992 10851990280 12319677490 19711483984 21703980560 24639354980 39422967968 43407961120 49278709960 75150032689 98557419920 150300065378 197114839840 300600130756 375750163445 601200261512 751500326890 1202400523024 1503000653780 2404801046048 3006001307560 6012002615120 12024005230240