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12403443230240 = 2555910971197743
BaseRepresentation
bin1011010001111110011011…
…0100111110011000100000
31121220202110021200200201012
42310133212310332120200
53111204222431331430
642214021350400052
72420055612621446
oct264374664763040
947822407620635
1012403443230240
113a522a838a027
121483a54060028
136bc8414ab96a
1430c4891a2b96
15167996c60695
hexb47e6d3e620

12403443230240 has 96 divisors (see below), whose sum is σ = 29826987644160. Its totient is φ = 4872836061184.

The previous prime is 12403443230231. The next prime is 12403443230249. The reversal of 12403443230240 is 4203234430421.

It is an interprime number because it is at equal distance from previous prime (12403443230231) and next prime (12403443230249).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12403443230197 and 12403443230206.

It is not an unprimeable number, because it can be changed into a prime (12403443230249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9756809 + ... + 10954551.

It is an arithmetic number, because the mean of its divisors is an integer number (310697787960).

Almost surely, 212403443230240 is an apocalyptic number.

12403443230240 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 12403443230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913493822080).

12403443230240 is an abundant number, since it is smaller than the sum of its proper divisors (17423544413920).

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

12403443230240 is a wasteful number, since it uses less digits than its factorization.

12403443230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198914 (or 1198906 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12403443230240 its reverse (4203234430421), we get a palindrome (16606677660661).

The spelling of 12403443230240 in words is "twelve trillion, four hundred three billion, four hundred forty-three million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1097 1180 1888 2194 2360 4388 4720 5485 8776 9440 10970 17552 21940 35104 43880 64723 87760 129446 175520 258892 323615 517784 647230 1035568 1197743 1294460 2071136 2395486 2588920 4790972 5177840 5988715 9581944 10355680 11977430 19163888 23954860 38327776 47909720 70666837 95819440 141333674 191638880 282667348 353334185 565334696 706668370 1130669392 1313924071 1413336740 2261338784 2627848142 2826673480 5255696284 5653346960 6569620355 10511392568 11306693920 13139240710 21022785136 26278481420 42045570272 52556962840 77521520189 105113925680 155043040378 210227851360 310086080756 387607600945 620172161512 775215201890 1240344323024 1550430403780 2480688646048 3100860807560 6201721615120 12403443230240