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14102041122 = 23213612833491
BaseRepresentation
bin11010010001000110…
…00001001000100010
31100101210110220200100
431020203001020202
5212340110303442
610251155403230
71006314241341
oct151043011042
940353426610
1014102041122
115a87264244
1228968b3516
1314397b8740
1497ac79b58
1557808c84c
hex3488c1222

14102041122 has 96 divisors (see below), whose sum is σ = 33571976256. Its totient is φ = 4251657600.

The previous prime is 14102041117. The next prime is 14102041123. The reversal of 14102041122 is 22114020141.

14102041122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×141020411223 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14102041095 and 14102041104.

It is not an unprimeable number, because it can be changed into a prime (14102041123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4037797 + ... + 4041287.

It is an arithmetic number, because the mean of its divisors is an integer number (349708086).

Almost surely, 214102041122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14102041122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785988128).

14102041122 is an abundant number, since it is smaller than the sum of its proper divisors (19469935134).

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

14102041122 is a wasteful number, since it uses less digits than its factorization.

14102041122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14102041122 its reverse (22114020141), we get a palindrome (36216061263).

The spelling of 14102041122 in words is "fourteen billion, one hundred two million, forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 283 366 549 566 793 849 1098 1586 1698 2379 2547 3491 3679 4758 5094 6982 7137 7358 10473 11037 14274 17263 20946 22074 31419 33111 34526 45383 51789 62838 66222 90766 103578 136149 155367 212951 224419 272298 310734 408447 425902 448838 638853 673257 816894 987953 1277706 1346514 1916559 1975906 2019771 2768363 2963859 3833118 4039542 5536726 5927718 8305089 8891577 12843389 16610178 17783154 24915267 25686778 38530167 49830534 60265133 77060334 115590501 120530266 180795399 231181002 361590798 542386197 783446729 1084772394 1566893458 2350340187 4700680374 7051020561 14102041122