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132135320045344 = 2571153626347421
BaseRepresentation
bin11110000010110100100110…
…110100000100011100100000
3122022212000100122101200121011
4132002310212310010130200
5114304401113412422334
61145010043353110304
736555314260466260
oct3602644664043440
9568760318350534
10132135320045344
113911430244aa30
12129a08633b8394
1358963cbc486b5
14248b5528c97a0
1510422224ae564
hex782d26d04720

132135320045344 has 48 divisors (see below), whose sum is σ = 324332149208256. Its totient is φ = 51481293523200.

The previous prime is 132135320045329. The next prime is 132135320045347. The reversal of 132135320045344 is 443540023531231.

132135320045344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132135320045297 and 132135320045306.

It is not an unprimeable number, because it can be changed into a prime (132135320045347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26813171247 + ... + 26813176174.

It is an arithmetic number, because the mean of its divisors is an integer number (6756919775172).

Almost surely, 2132135320045344 is an apocalyptic number.

132135320045344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132135320045344 is an abundant number, since it is smaller than the sum of its proper divisors (192196829162912).

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

132135320045344 is a wasteful number, since it uses less digits than its factorization.

132135320045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53626347449 (or 53626347441 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 132135320045344 its reverse (443540023531231), we get a palindrome (575675343576575).

The spelling of 132135320045344 in words is "one hundred thirty-two trillion, one hundred thirty-five billion, three hundred twenty million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 53626347421 107252694842 214505389684 375384431947 429010779368 589889821631 750768863894 858021558736 1179779643262 1501537727788 1716043117472 2359559286524 3003075455576 4129228751417 4719118573048 6006150911152 8258457502834 9438237146096 12012301822304 16516915005668 18876474292192 33033830011336 66067660022672 132135320045344