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132443414334 = 233711101315373
BaseRepresentation
bin111101101011000111…
…1100001111100111110
3110122212012122112222000
41323112033201330332
54132221003224314
6140502122003130
712366033306210
oct1732617417476
9418765575860
10132443414334
1151194944520
12218030464a6
13c64918112a
1465a5bca5b0
1536a2613209
hex1ed63e1f3e

132443414334 has 128 divisors (see below), whose sum is σ = 370577064960. Its totient is φ = 34060176000.

The previous prime is 132443414317. The next prime is 132443414359. The reversal of 132443414334 is 433414344231.

132443414334 is a `hidden beast` number, since 1 + 3 + 244 + 341 + 43 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262272 + ... + 577644.

It is an arithmetic number, because the mean of its divisors is an integer number (2895133320).

Almost surely, 2132443414334 is an apocalyptic number.

132443414334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132443414334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185288532480).

132443414334 is an abundant number, since it is smaller than the sum of its proper divisors (238133650626).

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

132443414334 is a wasteful number, since it uses less digits than its factorization.

132443414334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315503 (or 315497 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 132443414334 its reverse (433414344231), we get a palindrome (565857758565).

The spelling of 132443414334 in words is "one hundred thirty-two billion, four hundred forty-three million, four hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 101 126 154 189 198 202 231 297 303 378 462 594 606 693 707 909 1111 1386 1414 1818 2079 2121 2222 2727 3333 4158 4242 5454 6363 6666 7777 9999 12726 15554 19089 19998 23331 29997 38178 46662 59994 69993 139986 209979 315373 419958 630746 946119 1892238 2207611 2838357 3469103 4415222 5676714 6622833 6938206 8515071 10407309 13245666 17030142 19868499 20814618 24283721 31221927 31852673 39736998 48567442 59605497 62443854 63705346 72851163 93665781 95558019 119210994 145702326 187331562 191116038 218553489 222968711 286674057 350379403 437106978 445937422 573348114 655660467 668906133 700758806 860022171 1051138209 1311320934 1337812266 1720044342 2006718399 2102276418 2452655821 3153414627 4013436798 4905311642 6020155197 6306829254 7357967463 9460243881 12040310394 14715934926 18920487762 22073902389 44147804778 66221707167 132443414334