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14224041312201 = 3277125471124847
BaseRepresentation
bin1100111011111100101011…
…1011011111111111001001
31212100210201220011211122100
43032333022323133333021
53331021314033442301
650130233453544013
72665440001156560
oct316771273377711
955323656154570
1014224041312201
114594422556546
12171886a7a5009
137c2423ca5336
14372639460bd7
15199eeecc4286
hexcefcaedffc9

14224041312201 has 48 divisors (see below), whose sum is σ = 23812800380928. Its totient is φ = 8013165602400.

The previous prime is 14224041312181. The next prime is 14224041312281. The reversal of 14224041312201 is 10221314042241.

14224041312201 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 40 + 413 + 1 + 2 + 201 = 666.

It is not a de Polignac number, because 14224041312201 - 210 = 14224041311177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14224041312281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113869360 + ... + 113994206.

It is an arithmetic number, because the mean of its divisors is an integer number (496100007936).

Almost surely, 214224041312201 is an apocalyptic number.

It is an amenable number.

14224041312201 is a deficient number, since it is larger than the sum of its proper divisors (9588759068727).

14224041312201 is a wasteful number, since it uses less digits than its factorization.

14224041312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150402 (or 150399 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14224041312201 its reverse (10221314042241), we get a palindrome (24445355354442).

The spelling of 14224041312201 in words is "fourteen trillion, two hundred twenty-four billion, forty-one million, three hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 4473 25471 76413 124847 178297 229239 374541 534891 873929 1123623 1604673 1808441 2621787 5425323 7865361 8864137 12659087 16275969 26592411 37977261 62048959 79777233 113931783 186146877 558440631 3179977937 9539933811 22259845559 28619801433 66779536677 200338610031 225778433527 677335300581 1580449034689 2032005901743 4741347104067 14224041312201