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132442433033344 = 277197779748181
BaseRepresentation
bin11110000111010010101000…
…001011001001010010000000
3122100221101001212122221112021
4132013102220023021102000
5114324414100324031334
61145403114102211224
736616435646016160
oct3607225013112200
9570841055587467
10132442433033344
113922257a753405
1212a30292a23b14
1358b93635c0635
14249c36859a5a0
15104a1e93553b4
hex7874a82c9480

132442433033344 has 64 divisors (see below), whose sum is σ = 317413725825600. Its totient is φ = 53773619420160.

The previous prime is 132442433033279. The next prime is 132442433033377. The reversal of 132442433033344 is 443330334244231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 132442433033344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3889857067 + ... + 3889891114.

It is an arithmetic number, because the mean of its divisors is an integer number (4959589466025).

Almost surely, 2132442433033344 is an apocalyptic number.

132442433033344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132442433033344 is an abundant number, since it is smaller than the sum of its proper divisors (184971292792256).

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

132442433033344 is an equidigital number, since it uses as much as digits as its factorization.

132442433033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779748221 (or 7779748209 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 43.

Adding to 132442433033344 its reverse (443330334244231), we get a palindrome (575772767277575).

The spelling of 132442433033344 in words is "one hundred thirty-two trillion, four hundred forty-two billion, four hundred thirty-three million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 7779748181 15559496362 31118992724 54458237267 62237985448 108916474534 124475970896 147815215439 217832949068 248951941792 295630430878 435665898136 497903883584 591260861756 871331796272 995807767168 1034706508073 1182521723512 1742663592544 2069413016146 2365043447024 3485327185088 4138826032292 4730086894048 6970654370176 8277652064584 9460173788096 16555304129168 18920347576192 33110608258336 66221216516672 132442433033344