Search a number
-
+
132312332214 = 23241972696871
BaseRepresentation
bin111101100111001101…
…1011111011110110110
3110122112001222220002200
41323032123133132312
54131433424112324
6140441120245330
712362552160456
oct1731633373666
9418461886080
10132312332214
1151127953597
1221787170846
13c627c76c4a
146592627d66
153695d6dec9
hex1ece6df7b6

132312332214 has 96 divisors (see below), whose sum is σ = 297842650560. Its totient is φ = 42420326400.

The previous prime is 132312332189. The next prime is 132312332227. The reversal of 132312332214 is 412233213231.

132312332214 is a `hidden beast` number, since 1 + 3 + 2 + 312 + 332 + 2 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19253199 + ... + 19260069.

It is an arithmetic number, because the mean of its divisors is an integer number (3102527610).

Almost surely, 2132312332214 is an apocalyptic number.

132312332214 is an abundant number, since it is smaller than the sum of its proper divisors (165530318346).

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

132312332214 is a wasteful number, since it uses less digits than its factorization.

132312332214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7283 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 132312332214 its reverse (412233213231), we get a palindrome (544545545445).

The spelling of 132312332214 in words is "one hundred thirty-two billion, three hundred twelve million, three hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 97 123 194 246 269 291 369 538 582 738 807 873 1614 1746 2421 3977 4842 6871 7954 11029 11931 13742 20613 22058 23862 26093 33087 35793 41226 52186 61839 66174 71586 78279 99261 123678 156558 198522 234837 281711 469674 563422 666487 845133 1069813 1332974 1690266 1848299 1999461 2139626 2535399 3209439 3696598 3998922 5070798 5544897 5998383 6418878 9628317 11089794 11996766 16634691 19256634 27325967 33269382 54651934 75780259 81977901 151560518 163955802 179285003 227340777 245933703 358570006 454681554 491867406 537855009 682022331 1075710018 1364044662 1613565027 3227130054 7350685123 14701370246 22052055369 44104110738 66156166107 132312332214