Search a number
-
+
14201412013233 = 32173153292719301
BaseRepresentation
bin1100111010101000011000…
…0111100100110010110001
31212021122022211011100021100
43032222012013210302301
53330133442433410413
650112012201315013
72664006141253164
oct316520607446261
955248284140240
1014201412013233
11458586a940275
1217143b4195a69
137c02589698c3
143714cdcabadb
151996282dba73
hexcea861e4cb1

14201412013233 has 96 divisors (see below), whose sum is σ = 22852461146112. Its totient is φ = 8457216768000.

The previous prime is 14201412013219. The next prime is 14201412013259. The reversal of 14201412013233 is 33231021410241.

14201412013233 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 412 + 0 + 13 + 233 = 666.

It is not a de Polignac number, because 14201412013233 - 26 = 14201412013169 is a prime.

It is a super-2 number, since 2×142014120132332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14201412013197 and 14201412013206.

It is not an unprimeable number, because it can be changed into a prime (14201412013273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735776683 + ... + 735795983.

It is an arithmetic number, because the mean of its divisors is an integer number (238046470272).

Almost surely, 214201412013233 is an apocalyptic number.

It is an amenable number.

14201412013233 is a deficient number, since it is larger than the sum of its proper divisors (8651049132879).

14201412013233 is a wasteful number, since it uses less digits than its factorization.

14201412013233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22335 (or 22332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14201412013233 its reverse (33231021410241), we get a palindrome (47432433423474).

The spelling of 14201412013233 in words is "fourteen trillion, two hundred one billion, four hundred twelve million, thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 17 31 51 53 93 153 159 279 477 527 901 1581 1643 2703 2927 4743 4929 8109 8781 14787 19301 26343 27931 49759 57903 83793 90737 149277 155131 173709 251379 272211 328117 447831 465393 598331 816633 984351 1022953 1396179 1542529 1794993 2637227 2953053 3068859 4627587 4809061 5384979 7911681 9206577 10171627 13882761 14427183 17390201 23735043 30514881 31711543 43281549 52170603 56494027 81754037 91544643 95134629 156511809 169482081 245262111 285403887 508446243 539096231 735786333 960398459 1617288693 1751314837 2881195377 2994183431 4851866079 5253944511 8643586131 8982550293 15761833533 26947650879 29772352229 50901118327 89317056687 92819686361 152703354981 267951170061 278459059083 458110064943 835377177249 1577934668137 4733804004411 14201412013233