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353414534543145 = 32519538123960121
BaseRepresentation
bin101000001011011011011101…
…1110010100011011100101001
31201100100002200120020210100200
41100112312323302203130221
5332310320431320340040
63251352221255022413
7134304233425021545
oct12026667362433451
91640302616223320
10353414534543145
11a2677298285009
123377a13066aa09
1312227b03262aba
14633b4d759aa25
152acd1ca62c630
hex1416dbbca3729

353414534543145 has 96 divisors (see below), whose sum is σ = 657074622222720. Its totient is φ = 175176397992960.

The previous prime is 353414534543129. The next prime is 353414534543167. The reversal of 353414534543145 is 541345435414353.

353414534543145 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 1 + 4 + 53 + 4 + 543 + 1 + 45 = 666.

It is not a de Polignac number, because 353414534543145 - 24 = 353414534543129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 353414534543091 and 353414534543100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367613685 + ... + 368573805.

It is an arithmetic number, because the mean of its divisors is an integer number (6844527314820).

Almost surely, 2353414534543145 is an apocalyptic number.

It is an amenable number.

353414534543145 is a deficient number, since it is larger than the sum of its proper divisors (303660087679575).

353414534543145 is a wasteful number, since it uses less digits than its factorization.

353414534543145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968327 (or 968324 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

Adding to 353414534543145 its reverse (541345435414353), we get a palindrome (894759969957498).

The spelling of 353414534543145 in words is "three hundred fifty-three trillion, four hundred fourteen billion, five hundred thirty-four million, five hundred forty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 45 53 57 95 159 171 265 285 477 795 855 1007 2385 3021 5035 8123 9063 15105 24369 40615 45315 73107 121845 154337 365535 430519 463011 771685 960121 1291557 1389033 2152595 2315055 2880363 3874671 4800605 6457785 6945165 8179861 8641089 14401815 18242299 19373355 24539583 40899305 43205445 50886413 54726897 73618749 91211495 122697915 152659239 164180691 254432065 273634485 368093745 457977717 763296195 820903455 966841847 2289888585 2900525541 4834209235 7799062883 8701576623 14502627705 23397188649 38995314415 43507883115 70191565947 116985943245 148182194777 350957829735 413350332799 444546584331 740910973885 1240050998397 1333639752993 2066751663995 2222732921655 3720152995191 6200254991985 6668198764965 7853656323181 18600764975955 23560968969543 39268281615905 70682906908629 117804844847715 353414534543145