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14201445113142 = 23723311063446129
BaseRepresentation
bin1100111010101000100000…
…0101110101110100110110
31212021122102010102222210220
43032222020011311310312
53330134024422110032
650112015342555210
72664010022512320
oct316521005656466
955248363388726
1014201445113142
114585887598771
121714403298b06
137c0262788851
143714d4446610
1519962b17912c
hexcea88175d36

14201445113142 has 128 divisors (see below), whose sum is σ = 34997378088960. Its totient is φ = 3752400453120.

The previous prime is 14201445113099. The next prime is 14201445113159. The reversal of 14201445113142 is 24131154410241.

14201445113142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142014451131422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 31609534 + ... + 32055662.

It is an arithmetic number, because the mean of its divisors is an integer number (273417016320).

Almost surely, 214201445113142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14201445113142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498689044480).

14201445113142 is an abundant number, since it is smaller than the sum of its proper divisors (20795932975818).

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

14201445113142 is a wasteful number, since it uses less digits than its factorization.

14201445113142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447258.

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 14201445113142 its reverse (24131154410241), we get a palindrome (38332599523383).

The spelling of 14201445113142 in words is "fourteen trillion, two hundred one billion, four hundred forty-five million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 966 1063 1302 1426 2126 2139 3189 4278 4991 6378 7441 9982 14882 14973 22323 24449 29946 32953 44646 48898 65906 73347 98859 146694 171143 197718 230671 342286 446129 461342 513429 692013 757919 892258 1026858 1338387 1384026 1515838 2273757 2676774 3122903 4547514 5305433 6245806 9368709 10260967 10610866 13829999 15916299 18737418 20521934 27659998 30782901 31832598 41489997 61565802 71826769 82979994 96809993 143653538 193619986 215480307 290429979 318089977 430960614 474235127 580859958 636179954 948470254 954269931 1422705381 1908539862 2226629839 2845410762 3319645889 4453259678 6639291778 6679889517 9958937667 10907407921 13359779034 14701288937 19917875334 21814815842 29402577874 32722223763 44103866811 65444447526 76351855447 88207733622 102909022559 152703710894 205818045118 229055566341 308727067677 338129645551 458111132682 617454135354 676259291102 1014388936653 2028777873306 2366907518857 4733815037714 7100722556571 14201445113142