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14142130314 = 23132971173509
BaseRepresentation
bin11010010101110111…
…11100100010001010
31100111120220122201020
431022323330202022
5212430341132224
610255150533310
71010312060424
oct151273744212
940446818636
1014142130314
115aa7955904
1228a8207236
131444bb3a60
14982313814
1557b85ac79
hex34aefc88a

14142130314 has 128 divisors (see below), whose sum is σ = 32201971200. Its totient is φ = 4110167040.

The previous prime is 14142130279. The next prime is 14142130333. The reversal of 14142130314 is 41303124141.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27783892 + ... + 27784400.

It is an arithmetic number, because the mean of its divisors is an integer number (251577900).

Almost surely, 214142130314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14142130314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100985600).

14142130314 is an abundant number, since it is smaller than the sum of its proper divisors (18059840886).

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

14142130314 is a wasteful number, since it uses less digits than its factorization.

14142130314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14142130314 its reverse (41303124141), we get a palindrome (55445254455).

The spelling of 14142130314 in words is "fourteen billion, one hundred forty-two million, one hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 71 78 87 142 173 174 213 346 377 426 509 519 754 923 1018 1038 1131 1527 1846 2059 2249 2262 2769 3054 4118 4498 5017 5538 6177 6617 6747 10034 12283 12354 13234 13494 14761 15051 19851 24566 26767 29522 30102 36139 36849 39702 44283 53534 65221 72278 73698 80301 88057 88566 108417 130442 159679 160602 176114 191893 195663 216834 264171 319358 356207 383786 391326 469807 479037 528342 575679 712414 939614 958074 1048031 1068621 1144741 1151358 1409421 2096062 2137242 2289482 2553653 2818842 3144093 3434223 4630691 5107306 6252047 6288186 6868446 7660959 9261382 12504094 13624403 13892073 15321918 18756141 27248806 27784146 33197489 37512282 40873209 66394978 81276611 81746418 99592467 162553222 181309363 199184934 243829833 362618726 487659666 543928089 1087856178 2357021719 4714043438 7071065157 14142130314