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132052520544340 = 2251117931333107021
BaseRepresentation
bin11110000001100111011111…
…100101000010100001010100
3122022120002122012112020011211
4132001213133211002201110
5114302022030224404330
61144504031312311204
736546323363365204
oct3601473745024124
9568502565466154
10132052520544340
1139092183277360
12129887b5b42504
13588b664b2c816
14248753a01a404
15103eec8353d2a
hex7819df942854

132052520544340 has 96 divisors (see below), whose sum is σ = 304222929010560. Its totient is φ = 47748865113600.

The previous prime is 132052520544257. The next prime is 132052520544443. The reversal of 132052520544340 is 43445025250231.

It is a super-3 number, since 3×1320525205443403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132052520544293 and 132052520544302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233840030 + ... + 1233947050.

It is an arithmetic number, because the mean of its divisors is an integer number (3168988843860).

Almost surely, 2132052520544340 is an apocalyptic number.

132052520544340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132052520544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152111464505280).

132052520544340 is an abundant number, since it is smaller than the sum of its proper divisors (172170408466220).

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

132052520544340 is a wasteful number, since it uses less digits than its factorization.

132052520544340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138553 (or 138551 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 132052520544340 its reverse (43445025250231), we get a palindrome (175497545794571).

The spelling of 132052520544340 in words is "one hundred thirty-two trillion, fifty-two billion, five hundred twenty million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 19690 31333 39380 62666 107021 125332 156665 214042 313330 344663 428084 535105 626660 689326 1070210 1177231 1378652 1723315 2140420 2354462 3446630 4708924 5608607 5886155 6893260 11217214 11772310 19156759 22434428 23544620 28043035 38313518 56086070 61694677 76627036 95783795 112172140 123389354 191567590 210724349 246778708 308473385 383135180 421448698 616946770 842897396 1053621745 1233893540 2107243490 3353288993 4214486980 6706577986 13413155972 16766444965 33532889930 36886178923 67065779860 73772357846 147544715692 184430894615 368861789230 600238729747 737723578460 1200477459494 2400954918988 3001193648735 6002387297470 6602626027217 12004774594940 13205252054434 26410504108868 33013130136085 66026260272170 132052520544340