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134434453565124 = 223283102154498087
BaseRepresentation
bin11110100100010001110101…
…110110011010111011000100
3122121222210211012201210220100
4132210101311312122323010
5120110033230103040444
61153530200235404100
740213366040116416
oct3644216566327304
9577883735653810
10134434453565124
113992037137a659
12130b236a5b3630
135a0216495007b
14252a93b3a89b6
151081e36a40e69
hex7a4475d9aec4

134434453565124 has 144 divisors (see below), whose sum is σ = 344357240572800. Its totient is φ = 44214641303040.

The previous prime is 134434453565099. The next prime is 134434453565147. The reversal of 134434453565124 is 421565354434431.

134434453565124 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 4 + 4 + 53 + 565 + 1 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16623521809 + ... + 16623529895.

It is an arithmetic number, because the mean of its divisors is an integer number (2391369726200).

Almost surely, 2134434453565124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134434453565124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172178620286400).

134434453565124 is an abundant number, since it is smaller than the sum of its proper divisors (209922787007676).

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

134434453565124 is a wasteful number, since it uses less digits than its factorization.

134434453565124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14650 (or 14645 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 54.

The spelling of 134434453565124 in words is "one hundred thirty-four trillion, four hundred thirty-four billion, four hundred fifty-three million, five hundred sixty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1021 1494 2042 2988 3063 4084 5449 6126 8087 9189 10898 12252 16174 16347 18378 21796 24261 32348 32694 36756 48522 49041 65388 72783 84743 97044 98082 145566 169486 196164 254229 291132 338972 452267 508458 671221 762687 904534 1016916 1342442 1356801 1525374 1809068 2013663 2684884 2713602 3050748 4027326 4070403 5427204 5563429 6040989 8054652 8140806 8256827 11126858 12081978 16281612 16513654 16690287 22253716 24163956 24770481 33027308 33380574 44066063 49540962 50070861 66761148 74311443 88132126 99081924 100141722 132198189 148622886 176264252 200283444 264396378 297245772 396594567 461764607 528792756 685316641 793189134 923529214 1370633282 1385293821 1586378268 1847058428 2055949923 2741266564 2770587642 3657483229 4111899846 4155881463 5541175284 6167849769 7314966458 8223799692 8311762926 10972449687 12335699538 14629932916 16623525852 21944899374 24671399076 32917349061 43889798748 44991450323 65834698122 89982900646 131669396244 134974350969 179965801292 269948701938 404923052907 539897403876 809846105814 1619692211628 3734290376809 7468580753618 11202871130427 14937161507236 22405742260854 33608613391281 44811484521708 67217226782562 134434453565124