Search a number
-
+
141433414434 = 232134122366107
BaseRepresentation
bin1000001110111000010…
…1101010001100100010
3111112001201220212200200
42003232011222030202
54304123423230214
6144550144530030
713134565121064
oct2035605521442
9445051825620
10141433414434
1154a88525674
12234b1920916
131044c83c910
146bb9b5b734
153a2b9b6d09
hex20ee16a322

141433414434 has 96 divisors (see below), whose sum is σ = 339581458944. Its totient is φ = 42265532160.

The previous prime is 141433414433. The next prime is 141433414459. The reversal of 141433414434 is 434414334141.

141433414434 is a `hidden beast` number, since 141 + 4 + 33 + 41 + 443 + 4 = 666.

141433414434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141433414433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106409 + ... + 2172515.

It is an arithmetic number, because the mean of its divisors is an integer number (3537306864).

Almost surely, 2141433414434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141433414434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169790729472).

141433414434 is an abundant number, since it is smaller than the sum of its proper divisors (198148044510).

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

141433414434 is a wasteful number, since it uses less digits than its factorization.

141433414434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66392 (or 66389 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 141433414434 its reverse (434414334141), we get a palindrome (575847748575).

The spelling of 141433414434 in words is "one hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 223 234 246 369 446 533 669 738 1066 1338 1599 2007 2899 3198 4014 4797 5798 8697 9143 9594 17394 18286 26091 27429 52182 54858 66107 82287 118859 132214 164574 198321 237718 356577 396642 594963 713154 859391 1069731 1189926 1718782 2139462 2578173 2710387 5156346 5420774 7734519 8131161 14741861 15469038 16262322 24393483 29483722 35235031 44225583 48786966 70470062 88451166 105705093 132676749 191644193 211410186 265353498 317115279 383288386 574932579 604416301 634230558 1149865158 1208832602 1724797737 1813248903 3449595474 3626497806 5439746709 7857411913 10879493418 15714823826 23572235739 47144471478 70716707217 141433414434