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14021342343342 = 23217103444867769
BaseRepresentation
bin1100110000001001100100…
…1000010011000010101110
31211122102112110022022220100
43030002121020103002232
53314211202114441332
645453152111331530
72645002635312645
oct314023110230256
954572473268810
1014021342343342
114516466243074
1216a551b220ba6
137a928c770b89
143668cab3835c
15194ad992067c
hexcc0992130ae

14021342343342 has 48 divisors (see below), whose sum is σ = 32478906152160. Its totient is φ = 4356145184256.

The previous prime is 14021342343341. The next prime is 14021342343397. The reversal of 14021342343342 is 24334324312041.

14021342343342 is a `hidden beast` number, since 1 + 4 + 0 + 213 + 4 + 2 + 3 + 433 + 4 + 2 = 666.

It is a super-2 number, since 2×140213423433422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14021342343297 and 14021342343306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021342343341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222402367 + ... + 222465402.

It is an arithmetic number, because the mean of its divisors is an integer number (676643878170).

Almost surely, 214021342343342 is an apocalyptic number.

14021342343342 is an abundant number, since it is smaller than the sum of its proper divisors (18457563808818).

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

14021342343342 is a wasteful number, since it uses less digits than its factorization.

14021342343342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444867897 (or 444867894 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 14021342343342 its reverse (24334324312041), we get a palindrome (38355666655383).

The spelling of 14021342343342 in words is "fourteen trillion, twenty-one billion, three hundred forty-two million, three hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 618 927 1751 1854 3502 5253 10506 15759 31518 444867769 889735538 1334603307 2669206614 4003809921 7562752073 8007619842 15125504146 22688256219 45376512438 45821380207 68064768657 91642760414 136129537314 137464140621 274928281242 412392421863 778963463519 824784843726 1557926927038 2336890390557 4673780781114 7010671171671 14021342343342