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12341505232 = 2471723319091
BaseRepresentation
bin10110111111001110…
…00110110011010000
31011212002201102110101
423133213012303100
5200233411131412
65400345142144
7614556030550
oct133747066320
934762642411
1012341505232
115263504601
12248518a954
131218b35324
14851117160
154c372c457
hex2df9c6cd0

12341505232 has 160 divisors (see below), whose sum is σ = 31170576384. Its totient is φ = 4607539200.

The previous prime is 12341505223. The next prime is 12341505247. The reversal of 12341505232 is 23250514321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12341505232.

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 31 ways as a sum of consecutive naturals, for example, 1353007 + ... + 1362097.

Almost surely, 212341505232 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 12341505232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585288192).

12341505232 is an abundant number, since it is smaller than the sum of its proper divisors (18829071152).

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

12341505232 is a wasteful number, since it uses less digits than its factorization.

12341505232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 12341505232 in words is "twelve billion, three hundred forty-one million, five hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 31 34 46 56 62 68 92 112 119 124 136 161 184 217 238 248 272 322 368 391 434 476 496 527 644 713 782 868 952 1054 1288 1426 1564 1736 1904 2108 2576 2737 2852 3128 3472 3689 4216 4991 5474 5704 6256 7378 8432 9091 9982 10948 11408 12121 14756 18182 19964 21896 24242 29512 36364 39928 43792 48484 59024 63637 72728 79856 84847 96968 127274 145456 154547 169694 193936 209093 254548 281821 309094 339388 418186 509096 563642 618188 678776 836372 1018192 1081829 1127284 1236376 1357552 1463651 1672744 1972747 2163658 2254568 2472752 2927302 3345488 3554581 3945494 4327316 4509136 4790957 5854604 6481883 7109162 7890988 8654632 9581914 11709208 12963766 14218324 15781976 17309264 19163828 23418416 24882067 25927532 28436648 31563952 33536699 38327656 45373181 49764134 51855064 56873296 67073398 76655312 90746362 99528268 103710128 110192011 134146796 181492724 199056536 220384022 268293592 362985448 398113072 440768044 536587184 725970896 771344077 881536088 1542688154 1763072176 3085376308 6170752616 12341505232