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14122212435 = 3354347191271
BaseRepresentation
bin11010010011011111…
…11101110001010011
31100110012102201112000
431021233331301103
5212410241244220
610253200005043
71006650553002
oct151157756123
940405381460
1014122212435
115a97691251
1228a1600783
131440a2bb26
1497d80ac39
15579c24390
hex349bfdc53

14122212435 has 128 divisors (see below), whose sum is σ = 26471301120. Its totient is φ = 7136035200.

The previous prime is 14122212427. The next prime is 14122212437. The reversal of 14122212435 is 53421222141.

14122212435 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 221 + 2 + 435 = 666.

It is not a de Polignac number, because 14122212435 - 23 = 14122212427 is a prime.

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 = 14122212399 and 14122212408.

It is not an unprimeable number, because it can be changed into a prime (14122212437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52111350 + ... + 52111620.

It is an arithmetic number, because the mean of its divisors is an integer number (206807040).

Almost surely, 214122212435 is an apocalyptic number.

14122212435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14122212435 is a deficient number, since it is larger than the sum of its proper divisors (12349088685).

14122212435 is a wasteful number, since it uses less digits than its factorization.

14122212435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 14122212435 its reverse (53421222141), we get a palindrome (67543434576).

The spelling of 14122212435 in words is "fourteen billion, one hundred twenty-two million, two hundred twelve thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 43 45 47 129 135 141 191 215 235 271 387 423 573 645 705 813 955 1161 1269 1355 1719 1935 2021 2115 2439 2865 4065 5157 5805 6063 6345 7317 8213 8595 8977 10105 11653 12195 12737 18189 24639 25785 26931 30315 34959 36585 38211 41065 44885 51761 54567 58265 63685 73917 80793 90945 104877 114633 123195 134655 155283 174795 191055 221751 242379 258805 272835 314631 343899 369585 386011 403965 465849 524385 547691 573165 776415 1108755 1158033 1211895 1397547 1573155 1643073 1719495 1930055 2225723 2329245 2432767 2738455 3474099 4929219 5790165 6677169 6987735 7298301 8215365 10422297 11128615 12163835 14787657 17370495 20031507 21894903 24646095 33385845 36491505 52111485 60094521 65684709 73938285 100157535 104608981 109474515 300472605 313826943 328423545 523044905 941480829 1569134715 2824442487 4707404145 14122212435