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413243321212134 = 23378933293689863
BaseRepresentation
bin101110111110101111011010…
…1010111011101110011100110
32000012011200020120112220222000
41131331132311113131303212
5413131034310212242014
64022521205545350130
7153020562506612040
oct13575366527356346
92005150216486860
10413243321212134
1110a743565658446
123a4213a8198346
13149778a76a5c6a
14740912505aa90
1532b96190b4509
hex177d7b55ddce6

413243321212134 has 128 divisors (see below), whose sum is σ = 1061618151168000. Its totient is φ = 116707796434944.

The previous prime is 413243321212121. The next prime is 413243321212177. The reversal of 413243321212134 is 431212123342314.

413243321212134 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 433 + 2 + 1 + 2 + 1 + 213 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110149287 + ... + 113839149.

It is an arithmetic number, because the mean of its divisors is an integer number (8293891806000).

Almost surely, 2413243321212134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413243321212134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530809075584000).

413243321212134 is an abundant number, since it is smaller than the sum of its proper divisors (648374829955866).

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

413243321212134 is a wasteful number, since it uses less digits than its factorization.

413243321212134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693299 (or 3693293 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 413243321212134 its reverse (431212123342314), we get a palindrome (844455444554448).

The spelling of 413243321212134 in words is "four hundred thirteen trillion, two hundred forty-three billion, three hundred twenty-one million, two hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 534 623 801 1246 1602 1869 2403 3329 3738 4806 5607 6658 9987 11214 16821 19974 23303 29961 33642 46606 59922 69909 89883 139818 179766 209727 296281 419454 592562 629181 888843 1258362 1777686 2073967 2666529 3689863 4147934 5333058 6221901 7379726 7999587 11069589 12443802 15999174 18665703 22139178 25829041 33208767 37331406 51658082 55997109 66417534 77487123 99626301 111994218 154974246 199252602 232461369 328397807 464922738 656795614 697384107 985193421 1394768214 1970386842 2298784649 2955580263 4597569298 5911160526 6896353947 8866740789 12283553927 13792707894 17733481578 20689061841 24567107854 36850661781 41378123682 62067185523 73701323562 85984877489 110551985343 124134371046 171969754978 221103970686 257954632467 331655956029 515909264934 663311912058 773863897401 1093236299503 1547727794802 2186472599006 2321591692203 3279708898509 4643183384406 6559417797018 7652654096521 9839126695527 15305308193042 19678253391054 22957962289563 29517380086581 45915924579126 59034760173162 68873886868689 137747773737378 206621660606067 413243321212134