Search a number
-
+
14006046222245 = 5721115149336977
BaseRepresentation
bin1100101111010000100101…
…1010001110011110100101
31211120222001102221212102202
43023310021122032132211
53313433340313102440
645442142214344245
72643621611400500
oct313641132163645
954528042855382
1014006046222245
11450aa26a56980
1216a257065b085
137a79c278474c
14365c79470137
151944e1b16615
hexcbd0968e7a5

14006046222245 has 96 divisors (see below), whose sum is σ = 21477367593216. Its totient is φ = 8670219264000.

The previous prime is 14006046222211. The next prime is 14006046222271. The reversal of 14006046222245 is 54222264060041.

It is not a de Polignac number, because 14006046222245 - 228 = 14005777786789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14006046222199 and 14006046222208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2007456197 + ... + 2007463173.

It is an arithmetic number, because the mean of its divisors is an integer number (223722579096).

Almost surely, 214006046222245 is an apocalyptic number.

It is an amenable number.

14006046222245 is a deficient number, since it is larger than the sum of its proper divisors (7471321370971).

14006046222245 is a wasteful number, since it uses less digits than its factorization.

14006046222245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091 (or 12084 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 14006046222245 in words is "fourteen trillion, six billion, forty-six million, two hundred twenty-two thousand, two hundred forty-five".

Divisors: 1 5 7 11 35 49 55 77 151 245 385 539 755 1057 1661 2695 4933 5285 6977 7399 8305 11627 24665 34531 34885 36995 48839 54263 58135 76747 81389 172655 241717 244195 271315 341873 379841 383735 406945 537229 744883 1053527 1208585 1709365 1899205 2658887 2686145 3724415 3760603 5214181 5267635 7374689 8193713 11588797 13294435 18803015 26070905 34417541 36499267 36873445 40968565 51622823 57355991 57943985 81121579 172087705 182496335 240922787 258114115 286779955 378592951 401491937 405607895 567851053 1204613935 1686459509 1892964755 2007459685 2650150657 2839255265 5197048691 8432297545 13250753285 18551054599 25985243455 36379340837 57167535601 92755272995 181896704185 254655385859 285837678005 400172749207 1273276929295 2000863746035 2801209244449 14006046222245