Search a number
-
+
234142004043144 = 2334615923446773
BaseRepresentation
bin110101001111001101101110…
…111110100101110110001000
31010201000202102211200100010000
4311033031232332211312020
5221142140311013340034
62145551203550123000
7100214126063330631
oct6517155676456610
91121022384610100
10234142004043144
116867208023840a
12223163574b0460
13a08565b31a292
1441b6767b6a888
151c10886955599
hexd4f36efa5d88

234142004043144 has 80 divisors (see below), whose sum is σ = 666565465478220. Its totient is φ = 76767870165120.

The previous prime is 234142004043139. The next prime is 234142004043151. The reversal of 234142004043144 is 441340400241432.

234142004043144 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 4 + 200 + 404 + 3 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224574501356100 + 9567502687044 = 14985810^2 + 3093138^2 .

It is a super-2 number, since 2×2341420040431442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234142004043099 and 234142004043108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2961683859 + ... + 2961762914.

Almost surely, 2234142004043144 is an apocalyptic number.

234142004043144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234142004043144 is an abundant number, since it is smaller than the sum of its proper divisors (432423461435076).

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

234142004043144 is a wasteful number, since it uses less digits than its factorization.

234142004043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923446852 (or 5923446839 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 234142004043144 its reverse (441340400241432), we get a palindrome (675482404284576).

The spelling of 234142004043144 in words is "two hundred thirty-four trillion, one hundred forty-two billion, four million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 9882 13176 19764 39528 5923446773 11846893546 17770340319 23693787092 35540680638 47387574184 53311020957 71081361276 106622041914 142162722552 159933062871 213244083828 319866125742 361330253153 426488167656 479799188613 639732251484 722660506306 959598377226 1083990759459 1279464502968 1445321012612 1919196754452 2167981518918 2890642025224 3251972278377 3838393508904 4335963037836 6503944556754 8671926075672 9755916835131 13007889113508 19511833670262 26015778227016 29267750505393 39023667340524 58535501010786 78047334681048 117071002021572 234142004043144