Search a number
-
+
14187542985 = 3357112359341
BaseRepresentation
bin11010011011010010…
…01011100111001001
31100121202100212012000
431031221023213021
5213024002333420
610303452141213
71011403061040
oct151551134711
940552325160
1014187542985
116020553040
1228bb467809
131451424165
14988375557
1558082b690
hex34da4b9c9

14187542985 has 128 divisors (see below), whose sum is σ = 32813752320. Its totient is φ = 5639673600.

The previous prime is 14187542981. The next prime is 14187543011. The reversal of 14187542985 is 58924578141.

14187542985 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 7 + 542 + 98 + 5 = 666.

It is not a de Polignac number, because 14187542985 - 22 = 14187542981 is a prime.

It is a super-3 number, since 3×141875429853 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14187542981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209415 + ... + 268755.

It is an arithmetic number, because the mean of its divisors is an integer number (256357440).

Almost surely, 214187542985 is an apocalyptic number.

14187542985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14187542985 is an abundant number, since it is smaller than the sum of its proper divisors (18626209335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14187542985 is a wasteful number, since it uses less digits than its factorization.

14187542985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59396 (or 59390 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 14187542985 in words is "fourteen billion, one hundred eighty-seven million, five hundred forty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 23 27 33 35 45 55 63 69 77 99 105 115 135 161 165 189 207 231 253 297 315 345 385 483 495 621 693 759 805 945 1035 1155 1265 1449 1485 1771 2079 2277 2415 3105 3465 3795 4347 5313 6831 7245 8855 10395 11385 15939 21735 26565 34155 47817 59341 79695 178023 239085 296705 415387 534069 652751 890115 1246161 1364843 1602207 1958253 2076935 2670345 3263755 3738483 4094529 4569257 5874759 6230805 6824215 8011035 9553901 9791265 11215449 12283587 13707771 15013273 17624277 18692415 20472645 22846285 28661703 29373795 36850761 41123313 45039819 47769505 56077245 61417935 68538855 75066365 85985109 88121385 105092911 123369939 135119457 143308515 184253805 205616565 225199095 257955327 315278733 405358371 429925545 525464555 616849695 675597285 945836199 1289776635 1576393665 2026791855 2837508597 4729180995 14187542985