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343513315145 = 571113213732117
BaseRepresentation
bin1001111111110101111…
…11010011011101001001
31012211200000220110120202
410333322333103131021
521112003402041040
6421450254301545
733550403000420
oct4777277233511
91184600813522
10343513315145
11122757346a80
12566a9ab78b5
1326515a30270
14128aa1762b7
158e07833015
hex4ffafd3749

343513315145 has 64 divisors (see below), whose sum is σ = 553741042176. Its totient is φ = 197567354880.

The previous prime is 343513315109. The next prime is 343513315169. The reversal of 343513315145 is 541513315343.

It is not a de Polignac number, because 343513315145 - 28 = 343513314889 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 343513315099 and 343513315108.

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, 10679627 + ... + 10711743.

It is an arithmetic number, because the mean of its divisors is an integer number (8652203784).

Almost surely, 2343513315145 is an apocalyptic number.

343513315145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

343513315145 is a deficient number, since it is larger than the sum of its proper divisors (210227727031).

343513315145 is a wasteful number, since it uses less digits than its factorization.

343513315145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34290.

The product of its digits is 162000, while the sum is 38.

The spelling of 343513315145 in words is "three hundred forty-three billion, five hundred thirteen million, three hundred fifteen thousand, one hundred forty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 385 455 715 1001 2137 5005 10685 14959 23507 27781 32117 74795 117535 138905 160585 164549 194467 224819 305591 353287 417521 822745 972335 1124095 1527955 1766435 2087605 2139137 2473009 2922647 4592731 10695685 12365045 14613235 22963655 32149117 68634029 160745585 343170145 480438203 754974319 892242377 2402191015 3774871595 4461211885 5284820233 6245696639 9814666147 26424101165 31228483195 49073330735 68702663029 343513315145