Search a number
-
+
543430034345 = 511196713275849
BaseRepresentation
bin1111110100001101111…
…01000100001110101001
31220221200120111001022002
413322012331010032221
532400421042044340
61053352011340345
754155463035312
oct7720675041651
91827616431262
10543430034345
1119a5160a6070
12893a17516b5
133c325a10953
141c433179609
15e208806715
hex7e86f443a9

543430034345 has 64 divisors (see below), whose sum is σ = 760720896000. Its totient is φ = 368491368960.

The previous prime is 543430034341. The next prime is 543430034359.

543430034345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543430034345 - 22 = 543430034341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 543430034299 and 543430034308.

It is not an unprimeable number, because it can be changed into a prime (543430034341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92906981 + ... + 92912829.

It is an arithmetic number, because the mean of its divisors is an integer number (11886264000).

Almost surely, 2543430034345 is an apocalyptic number.

543430034345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543430034345 is a deficient number, since it is larger than the sum of its proper divisors (217290861655).

543430034345 is a wasteful number, since it uses less digits than its factorization.

543430034345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278.

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 5434300 and 34345, that added together give a palindrome (5468645).

The spelling of 543430034345 in words is "five hundred forty-three billion, four hundred thirty million, thirty-four thousand, three hundred forty-five".

Divisors: 1 5 11 19 55 67 95 209 335 737 1045 1273 1327 3685 5849 6365 6635 14003 14597 25213 29245 64339 70015 72985 88909 111131 126065 277343 321695 391883 444545 555655 977999 1222441 1386715 1689271 1959415 4310713 4889995 6112205 7445777 7761623 8446355 18581981 21553565 37228885 38808115 81903547 85377853 92909905 147470837 409517735 426889265 520028741 737354185 1622179207 2600143705 5720316151 8110896035 9880546079 28601580755 49402730395 108686006869 543430034345