Search a number
-
+
434433505023 = 327193142127809
BaseRepresentation
bin1100101001001100100…
…00010011011011111111
31112112100102021122220200
412110212100103123333
524104204434130043
6531324225414543
743246444602330
oct6244620233377
91475312248820
10434433505023
1115827342a371
1270242a9a453
1331c7539789b
1417053368287
15b4798787d3
hex65264136ff

434433505023 has 96 divisors (see below), whose sum is σ = 781136179200. Its totient is φ = 227046758400.

The previous prime is 434433505021. The next prime is 434433505043. The reversal of 434433505023 is 320505334434.

It is not a de Polignac number, because 434433505023 - 21 = 434433505021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434433505021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15608143 + ... + 15635951.

It is an arithmetic number, because the mean of its divisors is an integer number (8136835200).

Almost surely, 2434433505023 is an apocalyptic number.

434433505023 is a deficient number, since it is larger than the sum of its proper divisors (346702674177).

434433505023 is a wasteful number, since it uses less digits than its factorization.

434433505023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28293 (or 28290 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 434433505023 its reverse (320505334434), we get a palindrome (754938839457).

The spelling of 434433505023 in words is "four hundred thirty-four billion, four hundred thirty-three million, five hundred five thousand, twenty-three".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 421 589 651 1197 1263 1767 1953 2947 3789 4123 5301 7999 8841 12369 13051 23997 26523 27809 37107 39153 55993 71991 83427 91357 117459 167979 194663 247969 250281 274071 503937 528371 583989 743907 822213 862079 1585113 1735783 1751967 2231721 2586237 3698597 4755339 5207349 6034553 7758711 11095791 11707589 15622047 16379501 18103659 33287373 35122767 49138503 54310977 81953123 105368301 114656507 147415509 222444191 245859369 343969521 362935259 667332573 737578107 1031908563 1088805777 1557109337 2001997719 2540546813 3266417331 4671328011 6895769921 7621640439 14013984033 20687309763 22864921317 48270389447 62061929289 144811168341 434433505023