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14201221705713 = 3272172965319101
BaseRepresentation
bin1100111010100111101011…
…0001100110111111110001
31212021121211120001201102200
43032221322301212333301
53330133100224040323
650111541242333413
72664001340544600
oct316517261467761
955247746051380
1014201221705713
114585782478429
1217143604ba269
137c02283c71c3
143714b28cda37
15199616749443
hexcea7ac66ff1

14201221705713 has 72 divisors (see below), whose sum is σ = 26136785474280. Its totient is φ = 7374265113600.

The previous prime is 14201221705639. The next prime is 14201221705729. The reversal of 14201221705713 is 31750712210241.

14201221705713 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 12 + 2 + 1 + 70 + 571 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2518340477184 + 11682881228529 = 1586928^2 + 3418023^2 .

It is not a de Polignac number, because 14201221705713 - 29 = 14201221705201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14201221705763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32442138 + ... + 32876963.

It is an arithmetic number, because the mean of its divisors is an integer number (363010909365).

Almost surely, 214201221705713 is an apocalyptic number.

It is an amenable number.

14201221705713 is a deficient number, since it is larger than the sum of its proper divisors (11935563768567).

14201221705713 is a wasteful number, since it uses less digits than its factorization.

14201221705713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65319167 (or 65319157 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 14201221705713 its reverse (31750712210241), we get a palindrome (45951933915954).

The spelling of 14201221705713 in words is "fourteen trillion, two hundred one billion, two hundred twenty-one million, seven hundred five thousand, seven hundred thirteen".

Divisors: 1 3 7 9 17 21 29 49 51 63 87 119 147 153 203 261 357 441 493 609 833 1071 1421 1479 1827 2499 3451 4263 4437 7497 10353 12789 24157 31059 72471 217413 65319101 195957303 457233707 587871909 1110424717 1371701121 1894253929 3200635949 3331274151 4115103363 5682761787 7772973019 9601907847 9993822453 13259777503 17048285361 23318919057 28805723541 32202316793 39779332509 54410811133 69956757171 92818442521 96606950379 119337997527 163232433399 225416217551 278455327563 289820851137 489697300197 676248652653 835365982689 1577913522857 2028745957959 4733740568571 14201221705713