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12421340334 = 2331338346199
BaseRepresentation
bin10111001000101111…
…01001110010101110
31012001122221110122000
423210113221302232
5200414330342314
65412320233130
7616545436134
oct134427516256
935048843560
1012421340334
1152a4582927
1224a7a6b7a6
13122c538630
1485b979754
154ca74c209
hex2e45e9cae

12421340334 has 64 divisors (see below), whose sum is σ = 29804544000. Its totient is φ = 3811889376.

The previous prime is 12421340303. The next prime is 12421340401. The reversal of 12421340334 is 43304312421.

12421340334 is a `hidden beast` number, since 1 + 242 + 13 + 403 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12421340298 and 12421340307.

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, 245767 + ... + 291965.

It is an arithmetic number, because the mean of its divisors is an integer number (465696000).

Almost surely, 212421340334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421340334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272000).

12421340334 is an abundant number, since it is smaller than the sum of its proper divisors (17383203666).

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

12421340334 is a wasteful number, since it uses less digits than its factorization.

12421340334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46606 (or 46600 counting only the distinct ones).

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

Adding to 12421340334 its reverse (43304312421), we get a palindrome (55725652755).

The spelling of 12421340334 in words is "twelve billion, four hundred twenty-one million, three hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 383 702 766 1149 2298 3447 4979 6894 9958 10341 14937 20682 29874 44811 46199 89622 92398 134433 138597 268866 277194 415791 600587 831582 1201174 1247373 1801761 2494746 3603522 5405283 10810566 16215849 17694217 32431698 35388434 53082651 106165302 159247953 230024821 318495906 460049642 477743859 690074463 955487718 1380148926 2070223389 4140446778 6210670167 12421340334