Search a number
-
+
1309184935038 = 232317332139857
BaseRepresentation
bin10011000011010001100…
…000001100010001111110
311122011020100102111102100
4103003101200030101332
5132422202320410123
62441233052405530
7163404552223551
oct23032140142176
94564210374370
101309184935038
114652498468a2
1219188b4768a6
13965bcc88946
1447517380698
15240c5482643
hex130d180c47e

1309184935038 has 48 divisors (see below), whose sum is σ = 2968180166016. Its totient is φ = 416532533760.

The previous prime is 1309184934983. The next prime is 1309184935043. The reversal of 1309184935038 is 8305394819031.

1309184935038 is a `hidden beast` number, since 1 + 3 + 0 + 91 + 8 + 49 + 3 + 503 + 8 = 666.

It is a super-2 number, since 2×13091849350382 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16029195 + ... + 16110662.

It is an arithmetic number, because the mean of its divisors is an integer number (61837086792).

Almost surely, 21309184935038 is an apocalyptic number.

1309184935038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1309184935038 is an abundant number, since it is smaller than the sum of its proper divisors (1658995230978).

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

1309184935038 is a wasteful number, since it uses less digits than its factorization.

1309184935038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32139969 (or 32139966 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1309184935038 in words is "one trillion, three hundred nine billion, one hundred eighty-four million, nine hundred thirty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 279 438 558 657 1314 2263 4526 6789 13578 20367 40734 32139857 64279714 96419571 192839142 289258713 578517426 996335567 1992671134 2346209561 2989006701 4692419122 5978013402 7038628683 8967020103 14077257366 17934040206 21115886049 42231772098 72732496391 145464992782 218197489173 436394978346 654592467519 1309184935038