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14301042012114 = 231113611949140197
BaseRepresentation
bin1101000000011011100010…
…0001110110111111010010
31212122011111012120200101220
43100012320201312333102
53333302013223341424
650225450310105510
73004134103262214
oct320067041667722
955564435520356
1014301042012114
114614046430020
12172b77a04b296
137c977590c370
14376261b365b4
1519c009cdb579
hexd01b8876fd2

14301042012114 has 128 divisors (see below), whose sum is σ = 34171075411200. Its totient is φ = 3932666035200.

The previous prime is 14301042012109. The next prime is 14301042012121. The reversal of 14301042012114 is 41121024010341.

It is a happy number.

14301042012114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 101936664 + ... + 102076860.

It is an arithmetic number, because the mean of its divisors is an integer number (266961526650).

Almost surely, 214301042012114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14301042012114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085537705600).

14301042012114 is an abundant number, since it is smaller than the sum of its proper divisors (19870033399086).

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

14301042012114 is a wasteful number, since it uses less digits than its factorization.

14301042012114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142236.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14301042012114 its reverse (41121024010341), we get a palindrome (55422066022455).

It can be divided in two parts, 143010 and 42012114, that added together give a palindrome (42155124).

The spelling of 14301042012114 in words is "fourteen trillion, three hundred one billion, forty-two million, twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 122 143 183 286 366 429 671 793 858 1342 1586 1949 2013 2379 3898 4026 4758 5847 8723 11694 17446 21439 25337 26169 42878 50674 52338 64317 76011 118889 128634 140197 152022 237778 278707 280394 356667 420591 557414 713334 836121 841182 1307779 1542167 1545557 1672242 1822561 2615558 3084334 3091114 3645122 3923337 4626501 4636671 5467683 7846674 8552017 9253002 9273342 10935366 17001127 17104034 20048171 25656051 34002254 40096342 51003381 51312102 60144513 94072187 102006762 111176221 120289026 188144374 222352442 273243953 282216561 333528663 546487906 564433122 667057326 819731859 1222938431 1639463718 2445876862 3005683483 3552171389 3668815293 6011366966 7104342778 7337630586 9017050449 10656514167 16667881133 18034100898 21313028334 33335762266 39073885279 50003643399 78147770558 100007286798 117221655837 183346692463 216682454729 234443311674 366693384926 433364909458 550040077389 650047364187 1100080154778 1300094728374 2383507002019 4767014004038 7150521006057 14301042012114