Search a number
-
+
14236471164222 = 2341913736531889
BaseRepresentation
bin1100111100101010111111…
…0011100111110100111110
31212101222211011010202010000
43033022233303213310332
53331222243104223342
650140051120455130
72666360012156316
oct317125763476476
955358734122100
1014236471164222
11459972091231a
12171b15947a4a6
137c3655200c68
143730981b4446
1519a4cb15344c
hexcf2afce7d3e

14236471164222 has 160 divisors (see below), whose sum is σ = 32219515722240. Its totient is φ = 4698290718720.

The previous prime is 14236471164173. The next prime is 14236471164241. The reversal of 14236471164222 is 22246117463241.

14236471164222 is a `hidden beast` number, since 1 + 4 + 2 + 364 + 7 + 1 + 1 + 64 + 222 = 666.

It is a super-2 number, since 2×142364711642222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7536511054 + ... + 7536512942.

It is an arithmetic number, because the mean of its divisors is an integer number (201371973264).

Almost surely, 214236471164222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14236471164222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109757861120).

14236471164222 is an abundant number, since it is smaller than the sum of its proper divisors (17983044558018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14236471164222 is a wasteful number, since it uses less digits than its factorization.

14236471164222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3111 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 14236471164222 in words is "fourteen trillion, two hundred thirty-six billion, four hundred seventy-one million, one hundred sixty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 373 382 573 653 746 1119 1146 1306 1719 1889 1959 2238 3357 3438 3778 3918 5157 5667 5877 6714 10071 10314 11334 11754 15471 17001 17631 20142 30213 30942 34002 35262 51003 52893 60426 71243 102006 105786 124723 142486 153009 213729 243569 249446 306018 360799 374169 427458 487138 641187 704597 721598 730707 748338 1082397 1122507 1233517 1282374 1409194 1461414 1923561 2113791 2164794 2192121 2245014 2467034 3247191 3367521 3700551 3847122 4227582 4384242 5770683 6341373 6494382 6576363 6735042 7401102 9741573 10102563 11101653 11541366 12682746 13152726 19024119 19483146 19729089 20205126 22203306 29224719 33304959 38048238 39458178 46521679 57072357 58449438 66609918 93043358 99914877 114144714 134578027 139565037 199829754 235601747 269156054 279130074 403734081 418695111 460101841 471203494 706805241 807468162 837390222 920203682 1211202243 1256085333 1380305523 1413610482 2120415723 2422404486 2512170666 2760611046 3633606729 3768255999 4140916569 4240831446 6361247169 7267213458 7536511998 8281833138 10900820187 12422749707 12722494338 19083741507 21801640374 24845499414 37268249121 38167483014 74536498242 87879451631 175758903262 263638354893 527276709786 790915064679 1581830129358 2372745194037 4745490388074 7118235582111 14236471164222