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14015234142 = 2347137331297
BaseRepresentation
bin11010000110101111…
…11000000001011110
31100011202010122220000
431003113320001132
5212200344443032
610234415035130
71004211344640
oct150327700136
940152118800
1014015234142
115a42263938
12287180baa6
131424813c70
1496d520890
15570641e7c
hex3435f805e

14015234142 has 160 divisors (see below), whose sum is σ = 38734272192. Its totient is φ = 3688436736.

The previous prime is 14015234141. The next prime is 14015234147. The reversal of 14015234142 is 24143251041.

14015234142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14015234141) 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 79 ways as a sum of consecutive naturals, for example, 10805238 + ... + 10806534.

Almost surely, 214015234142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14015234142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19367136096).

14015234142 is an abundant number, since it is smaller than the sum of its proper divisors (24719038050).

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

14015234142 is a wasteful number, since it uses less digits than its factorization.

14015234142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14015234142 its reverse (24143251041), we get a palindrome (38158485183).

The spelling of 14015234142 in words is "fourteen billion, fifteen million, two hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 733 819 1053 1134 1297 1466 1638 2106 2199 2457 2594 3891 4398 4914 5131 6597 7371 7782 9079 9529 10262 11673 13194 14742 15393 16861 18158 19058 19791 23346 27237 28587 30786 33722 35019 39582 46179 50583 54474 57174 59373 66703 70038 81711 85761 92358 101166 105057 118027 118746 133406 138537 151749 163422 171522 200109 210114 236054 245133 257283 277074 303498 354081 400218 415611 455247 490266 514566 600327 708162 735399 771849 831222 910494 950701 1062243 1200654 1365741 1470798 1543698 1800981 1901402 2124486 2731482 2852103 3186729 3601962 5402943 5704206 6373458 6654907 8556309 9560187 10805886 12359113 13309814 17112618 19120374 19964721 24718226 25668927 37077339 39929442 51337854 59894163 74154678 77006781 86513791 111232017 119788326 154013562 173027582 179682489 222464034 259541373 333696051 359364978 519082746 539047467 667392102 778624119 1001088153 1078094934 1557248238 2002176306 2335872357 4671744714 7007617071 14015234142