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134442444124314 = 2341953824122771
BaseRepresentation
bin11110100100011001010010…
…000111111111000010011010
3122122000120110002101021110000
4132210121102013333002122
5120110201111143434224
61153534001201033430
740214101044546354
oct3644312207770232
9578016402337400
10134442444124314
11399237a1889a87
12130b3a1a625876
135a02b39238cc1
14252b0986d60d4
1510822532c40c9
hex7a46521ff09a

134442444124314 has 80 divisors (see below), whose sum is σ = 323089091534880. Its totient is φ = 41654461286880.

The previous prime is 134442444124213. The next prime is 134442444124357. The reversal of 134442444124314 is 413421444244431.

134442444124314 is a `hidden beast` number, since 1 + 3 + 44 + 42 + 444 + 124 + 3 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134442444124314.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411898252 + ... + 412224519.

It is an arithmetic number, because the mean of its divisors is an integer number (4038613644186).

Almost surely, 2134442444124314 is an apocalyptic number.

134442444124314 is an abundant number, since it is smaller than the sum of its proper divisors (188646647410566).

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

134442444124314 is a wasteful number, since it uses less digits than its factorization.

134442444124314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824122857 (or 824122848 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 45.

Adding to 134442444124314 its reverse (413421444244431), we get a palindrome (547863888368745).

The spelling of 134442444124314 in words is "one hundred thirty-four trillion, four hundred forty-two billion, four hundred forty-four million, one hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 318 342 477 513 954 1007 1026 1431 1539 2014 2862 3021 3078 4293 6042 8586 9063 18126 27189 54378 81567 163134 824122771 1648245542 2472368313 4944736626 7417104939 14834209878 15658332649 22251314817 31316665298 43678506863 44502629634 46974997947 66753944451 87357013726 93949995894 131035520589 133507888902 140924993841 262071041178 281849987682 393106561767 422774981523 786213123534 829891630397 845549963046 1179319685301 1268324944569 1659783260794 2358639370602 2489674891191 2536649889138 3537959055903 4979349782382 7075918111806 7469024673573 14938049347146 22407074020719 44814148041438 67221222062157 134442444124314