Search a number
-
+
31205450430423 = 3319218138346183
BaseRepresentation
bin1110001100001100101011…
…10010011011011111010111
311002111012201111100102102000
413012012111302123133113
513042232230302233143
6150211330325250343
76400343103111033
oct706062562333727
9132435644312360
1031205450430423
119a411802751a5
1235bb9aa2639b3
131454879ca33c9
1479c4cd7071c3
15391ad3241bd3
hex1c6195c9b7d7

31205450430423 has 96 divisors (see below), whose sum is σ = 49190260654080. Its totient is φ = 19548219913920.

The previous prime is 31205450430367. The next prime is 31205450430449. The reversal of 31205450430423 is 32403405450213.

31205450430423 is a `hidden beast` number, since 3 + 120 + 5 + 4 + 504 + 3 + 0 + 4 + 23 = 666.

It is not a de Polignac number, because 31205450430423 - 216 = 31205450364887 is a prime.

It is a super-3 number, since 3×312054504304233 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31205450450423) 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, 675668190 + ... + 675714372.

It is an arithmetic number, because the mean of its divisors is an integer number (512398548480).

Almost surely, 231205450430423 is an apocalyptic number.

31205450430423 is a deficient number, since it is larger than the sum of its proper divisors (17984810223657).

31205450430423 is a wasteful number, since it uses less digits than its factorization.

31205450430423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46794 (or 46769 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 31205450430423 its reverse (32403405450213), we get a palindrome (63608855880636).

The spelling of 31205450430423 in words is "thirty-one trillion, two hundred five billion, four hundred fifty million, four hundred thirty thousand, four hundred twenty-three".

Divisors: 1 3 9 19 27 57 171 181 361 383 513 543 1083 1149 1629 3249 3439 3447 4887 7277 9747 10317 10341 21831 30951 46183 65341 65493 69323 92853 138263 138549 196023 196479 207969 414789 415647 588069 623907 877477 1244367 1246941 1317137 1764207 1871721 2632431 3733101 3951411 7897293 8359123 11854233 16672063 17688089 23691879 25025603 25077369 35562699 50016189 53064267 75076809 75232107 150048567 158823337 159192801 225230427 225696321 336073691 450145701 476470011 477578403 675691281 1008221073 1429410033 3017643403 3024663219 3201544109 4288230099 6385400129 9052930209 9073989657 9604632327 19156200387 27158790627 28813896981 57468601161 60829338071 81476371881 86441690943 172405803483 182488014213 547464042639 1155757423349 1642392127917 3467272270047 10401816810141 31205450430423