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132224240334330 = 232531310333454253
BaseRepresentation
bin11110000100000111011010…
…111000000011010111111010
3122100011111212122121101122200
4132010013122320003113322
5114312330221011144310
61145114551043331030
736564612636461304
oct3604073270032772
9570144778541580
10132224240334330
1139148a92654171
12129b5b3a680a76
1358a1900171b01
14249198a24a974
1510446c8b619c0
hex7841dae035fa

132224240334330 has 96 divisors (see below), whose sum is σ = 344915509185936. Its totient is φ = 35143667500032.

The previous prime is 132224240334313. The next prime is 132224240334343. The reversal of 132224240334330 is 33433042422231.

132224240334330 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 242 + 40 + 3 + 343 + 30 = 666.

132224240334330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 38973138665409 + 93251101668921 = 6242847^2 + 9656661^2 .

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, 290853484 + ... + 291307736.

Almost surely, 2132224240334330 is an apocalyptic number.

132224240334330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132224240334330 is an abundant number, since it is smaller than the sum of its proper divisors (212691268851606).

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

132224240334330 is a wasteful number, since it uses less digits than its factorization.

132224240334330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464912 (or 464909 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 132224240334330 its reverse (33433042422231), we get a palindrome (165657282756561).

The spelling of 132224240334330 in words is "one hundred thirty-two trillion, two hundred twenty-four billion, two hundred forty million, three hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 626 939 1565 1878 2817 3130 4695 5634 9390 10333 14085 20666 28170 30999 51665 61998 92997 103330 154995 185994 309990 454253 464985 908506 929970 1362759 2271265 2725518 3234229 4088277 4542530 6468458 6813795 8176554 9702687 13627590 16171145 19405374 20441385 29108061 32342290 40882770 48513435 58216122 97026870 142181189 145540305 284362378 291080610 426543567 710905945 853087134 1279630701 1421811890 2132717835 2559261402 4265435670 4693796249 6398153505 9387592498 12796307010 14081388747 23468981245 28162777494 42244166241 46937962490 70406943735 84488332482 140813887470 211220831205 422441662410 1469158225937 2938316451874 4407474677811 7345791129685 8814949355622 13222424033433 14691582259370 22037373389055 26444848066866 44074746778110 66112120167165 132224240334330