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5434354534345 = 511317418211427
BaseRepresentation
bin100111100010100100011…
…0001011000011111001001
3201020112000111210122220221
41033011020301120133021
51203014024230044340
615320301421350041
71100422241246332
oct117051061303711
921215014718827
105434354534345
111805773509000
1273926a408321
133055c3c9c129
1414b04a435289
159656019b44a
hex4f148c587c9

5434354534345 has 128 divisors (see below), whose sum is σ = 7794964606464. Its totient is φ = 3622085632000.

The previous prime is 5434354534333. The next prime is 5434354534361.

5434354534345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5434354534345 - 25 = 5434354534313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5434354534292 and 5434354534301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3808236522 + ... + 3808237948.

It is an arithmetic number, because the mean of its divisors is an integer number (60898160988).

Almost surely, 25434354534345 is an apocalyptic number.

5434354534345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5434354534345 is a deficient number, since it is larger than the sum of its proper divisors (2360610072119).

5434354534345 is a wasteful number, since it uses less digits than its factorization.

5434354534345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2322 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 52.

The spelling of 5434354534345 in words is "five trillion, four hundred thirty-four billion, three hundred fifty-four million, five hundred thirty-four thousand, three hundred forty-five".

Divisors: 1 5 11 17 41 55 85 121 187 205 451 605 697 821 935 1331 1427 2057 2255 3485 4105 4961 6655 7135 7667 9031 10285 13957 15697 22627 24259 24805 33661 38335 45155 54571 58507 69785 78485 84337 99341 113135 121295 153527 168305 172667 266849 272855 292535 370271 421685 496705 572237 643577 767635 863335 927707 994619 1092751 1171567 1334245 1688797 1851355 1899337 2861185 2935339 3217885 4072981 4638535 4973095 5463755 5857835 6294607 7079347 8443985 9496685 10940809 12887237 14676695 18576767 19916639 20364905 31473035 32288729 35396735 44802791 48034247 54704045 64436185 69240677 77872817 92883835 99583195 120348899 141759607 161443645 219083029 224013955 240171235 346203385 389364085 528376717 601744495 708798035 761647447 816582199 1095415145 1323837889 1559355677 2409913319 2641883585 3808237235 4082910995 5812143887 6619189445 7796778385 8982404189 12049566595 26509046509 29060719435 44912020945 63933582757 98806446079 132545232545 319667913785 494032230395 1086870906869 5434354534345