Search a number
-
+
132245423466 = 2313113157227421
BaseRepresentation
bin111101100101001110…
…0010000010101101010
3110122100102002120112220
41323022130100111222
54131314312022331
6140430330214510
712361110360312
oct1731234202552
9418312076486
10132245423466
11510a3104002
1221768884436
13c61714b480
1465877ac442
153690054296
hex1eca71056a

132245423466 has 128 divisors (see below), whose sum is σ = 291151155456. Its totient is φ = 39802613760.

The previous prime is 132245423461. The next prime is 132245423467. The reversal of 132245423466 is 664324542231.

It is a happy number.

132245423466 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132245423461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314121936 + ... + 314122356.

It is an arithmetic number, because the mean of its divisors is an integer number (2274618402).

Almost surely, 2132245423466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132245423466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145575577728).

132245423466 is an abundant number, since it is smaller than the sum of its proper divisors (158905731990).

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

132245423466 is a wasteful number, since it uses less digits than its factorization.

132245423466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its digits is 829440, while the sum is 42.

Adding to 132245423466 its reverse (664324542231), we get a palindrome (796569965697).

The spelling of 132245423466 in words is "one hundred thirty-two billion, two hundred forty-five million, four hundred twenty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 113 157 226 227 314 339 421 454 471 678 681 842 942 1263 1362 1469 2041 2526 2938 2951 4082 4407 5473 5902 6123 8814 8853 10946 12246 16419 17706 17741 25651 32838 35482 35639 47573 51302 53223 66097 71278 76953 95146 95567 106446 106917 132194 142719 153906 191134 198291 213834 230633 285438 286701 333463 396582 461266 463307 573402 618449 666926 691899 859261 926614 1000389 1236898 1242371 1383798 1389921 1718522 1855347 2000778 2484742 2577783 2779842 3710694 3727113 4027207 5155566 7454226 7468961 8054414 10799071 12081621 14937922 15004019 21598142 22406883 24163242 30008038 32397213 44813766 45012057 52353691 64794426 90024114 97096493 104707382 140387923 157061073 194192986 195052247 280775846 291289479 314122146 390104494 421163769 582578958 585156741 842327538 1170313482 1695454147 3390908294 5086362441 10172724882 22040903911 44081807822 66122711733 132245423466