Search a number
-
+
42114412044342 = 232112192891002451
BaseRepresentation
bin10011001001101100001101…
…00100011110000000110110
312112010002122210012220200100
421210312012210132000312
521010000303440404332
6225323032132254530
711604444250633221
oct1144660644360066
9175102583186610
1042114412044342
1112467692751200
12488207b471446
131a664ab417c51
14a584c40c05b8
154d075c30967c
hex264d8691e036

42114412044342 has 72 divisors (see below), whose sum is σ = 100302570327960. Its totient is φ = 12761268696000.

The previous prime is 42114412044319. The next prime is 42114412044347. The reversal of 42114412044342 is 24344021441124.

42114412044342 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 441 + 204 + 4 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42114412044297 and 42114412044306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114412044347) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41510217 + ... + 42512667.

It is an arithmetic number, because the mean of its divisors is an integer number (1393091254555).

Almost surely, 242114412044342 is an apocalyptic number.

42114412044342 is an abundant number, since it is smaller than the sum of its proper divisors (58188158283618).

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

42114412044342 is a wasteful number, since it uses less digits than its factorization.

42114412044342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021770 (or 1021756 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 42114412044342 its reverse (24344021441124), we get a palindrome (66458433485466).

The spelling of 42114412044342 in words is "forty-two trillion, one hundred fourteen billion, four hundred twelve million, forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 19289 38578 57867 115734 173601 212179 347202 424358 636537 1002451 1273074 1909611 2004902 2333969 3007353 3819222 4667938 6014706 7001907 9022059 11026961 14003814 18044118 21005721 22053922 33080883 42011442 66161766 99242649 121296571 198485298 242593142 363889713 727779426 1091669139 2183338278 19336277339 38672554678 58008832017 116017664034 174026496051 212699050729 348052992102 425398101458 638097152187 1276194304374 1914291456561 2339689558019 3828582913122 4679379116038 7019068674057 14038137348114 21057206022171 42114412044342