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14224041300013 = 372933010943577
BaseRepresentation
bin1100111011111100101011…
…1011011101000000101101
31212100210201220011012220221
43032333022323131000231
53331021314033100023
650130233453411341
72665440001106206
oct316771273350055
955323656135827
1014224041300013
114594422548376
12171886a799b51
137c2423c9c91c
1437263945a5ad
15199eeecc085d
hexcefcaedd02d

14224041300013 has 16 divisors (see below), whose sum is σ = 14659156355760. Its totient is φ = 13791599018496.

The previous prime is 14224041299981. The next prime is 14224041300097. The reversal of 14224041300013 is 31000314042241.

It can be written as a sum of positive squares in 8 ways, for example, as 1248578290404 + 12975463009609 = 1117398^2 + 3602147^2 .

It is a cyclic number.

It is not a de Polignac number, because 14224041300013 - 25 = 14224041299981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224041301013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326389881 + ... + 326433457.

It is an arithmetic number, because the mean of its divisors is an integer number (916197272235).

Almost surely, 214224041300013 is an apocalyptic number.

It is an amenable number.

14224041300013 is a deficient number, since it is larger than the sum of its proper divisors (435115055747).

14224041300013 is a wasteful number, since it uses less digits than its factorization.

14224041300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74016.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14224041300013 its reverse (31000314042241), we get a palindrome (45224355342254).

The spelling of 14224041300013 in words is "fourteen trillion, two hundred twenty-four billion, forty-one million, three hundred thousand, thirteen".

Divisors: 1 37 293 10841 30109 43577 1114033 1612349 8821937 12768061 326411669 472418257 1312059893 48546216041 384433548649 14224041300013