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12441304343424 = 2731129310052507
BaseRepresentation
bin1011010100001011011110…
…0001101010001110000000
31122001101011220001112002110
42311002313201222032000
53112314242402442144
642243242321415320
72422566056024565
oct265026741521600
948041156045073
1012441304343424
113a67366a59810
12148b25b79a540
136c32963a9408
1431023b68086c
15168960a9d0b9
hexb50b786a380

12441304343424 has 128 divisors (see below), whose sum is σ = 36174553188480. Its totient is φ = 3757224642560.

The previous prime is 12441304343393. The next prime is 12441304343471. The reversal of 12441304343424 is 42434340314421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3788622 + ... + 6263885.

It is an arithmetic number, because the mean of its divisors is an integer number (282613696785).

Almost surely, 212441304343424 is an apocalyptic number.

It is an amenable number.

12441304343424 is an abundant number, since it is smaller than the sum of its proper divisors (23733248845056).

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

12441304343424 is a wasteful number, since it uses less digits than its factorization.

12441304343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052828 (or 10052816 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 12441304343424 its reverse (42434340314421), we get a palindrome (54875644657845).

The spelling of 12441304343424 in words is "twelve trillion, four hundred forty-one billion, three hundred four million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 293 352 384 528 586 704 879 1056 1172 1408 1758 2112 2344 3223 3516 4224 4688 6446 7032 9376 9669 12892 14064 18752 19338 25784 28128 37504 38676 51568 56256 77352 103136 112512 154704 206272 309408 412544 618816 1237632 10052507 20105014 30157521 40210028 60315042 80420056 110577577 120630084 160840112 221155154 241260168 321680224 331732731 442310308 482520336 643360448 663465462 884620616 965040672 1286720896 1326930924 1769241232 1930081344 2653861848 2945384551 3538482464 3860162688 5307723696 5890769102 7076964928 8836153653 10615447392 11781538204 14153929856 17672307306 21230894784 23563076408 32399230061 35344614612 42461789568 47126152816 64798460122 70689229224 94252305632 97197690183 129596920244 141378458448 188504611264 194395380366 259193840488 282756916896 377009222528 388790760732 518387680976 565513833792 777581521464 1036775361952 1131027667584 1555163042928 2073550723904 3110326085856 4147101447808 6220652171712 12441304343424