Search a number
-
+
132402000230032 = 24134577399412003
BaseRepresentation
bin11110000110101100111110…
…001100001111011010010000
3122100210111201001012201111111
4132012230332030033122100
5114323233244024330112
61145332350023023104
736613504664611141
oct3606547614173220
9570714631181444
10132402000230032
1139207411464885
1212a24489b9aa94
1358b55bb982850
14249a410729ac8
15104912e87a5a7
hex786b3e30f690

132402000230032 has 160 divisors (see below), whose sum is σ = 277674211463040. Its totient is φ = 60797310013440.

The previous prime is 132402000230029. The next prime is 132402000230083. The reversal of 132402000230032 is 230032000204231.

It is a junction number, because it is equal to n+sod(n) for n = 132402000229985 and 132402000230012.

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, 66101846343 + ... + 66101848345.

It is an arithmetic number, because the mean of its divisors is an integer number (1735463821644).

Almost surely, 2132402000230032 is an apocalyptic number.

It is an amenable number.

132402000230032 is an abundant number, since it is smaller than the sum of its proper divisors (145272211233008).

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

132402000230032 is a wasteful number, since it uses less digits than its factorization.

132402000230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 132402000230032 its reverse (230032000204231), we get a palindrome (362434000434263).

The spelling of 132402000230032 in words is "one hundred thirty-two trillion, four hundred two billion, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 457 739 914 941 1478 1828 1882 2003 2956 3656 3764 4006 5912 5941 7312 7528 8012 9607 11824 11882 12233 15056 16024 19214 23764 24466 26039 32048 38428 47528 48932 52078 76856 95056 97864 104156 153712 195728 208312 337723 416624 430037 675446 695399 860074 915371 1350892 1390798 1480217 1720148 1830742 1884823 2701784 2781596 2960434 3440296 3661484 3769646 4390399 5403568 5563192 5590481 5920868 6880592 7322968 7539292 8780798 9040187 11126384 11180962 11841736 11899823 14645936 15078584 17561596 18080374 19242821 22361924 23683472 23799646 24502699 30157168 35123192 36160748 38485642 44723848 47599292 49005398 70246384 72321496 76971284 89447696 95198584 98010796 144642992 153942568 190397168 196021592 307885136 317797343 392043184 635594686 676459169 861364111 1271189372 1352918338 1392884197 1722728222 2542378744 2705836676 2785768394 3445456444 4131365459 5084757488 5411673352 5571536788 6890912888 8262730918 8793969197 10823346704 11143073576 11197733443 13781825776 16525461836 17587938394 18107494561 22286147152 22395466886 33050923672 35175876788 36214989122 44790933772 66101847344 70351753576 72429978244 89581867544 140703507152 144859956488 179163735088 289719912976 636548078029 1273096156058 2546192312116 5092384624232 8275125014377 10184769248464 16550250028754 33100500057508 66201000115016 132402000230032