Search a number
-
+
32200440130012 = 22721137439387347
BaseRepresentation
bin1110101001001001111111…
…10010111010100111011100
311020000022222001000012211011
413110210333302322213130
513210033000133130022
6152252402235505004
76532255632032200
oct724447762724734
9136008861005734
1032200440130012
11a295147a98250
1237407b22b8164
1314c7647244b3b
147d471c56ab00
153ac919bb9977
hex1d493fcba9dc

32200440130012 has 144 divisors (see below), whose sum is σ = 75150752358528. Its totient is φ = 11922680407680.

The previous prime is 32200440129983. The next prime is 32200440130087. The reversal of 32200440130012 is 21003104400223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 1263478 + ... + 8123869.

It is an arithmetic number, because the mean of its divisors is an integer number (521880224712).

Almost surely, 232200440130012 is an apocalyptic number.

It is an amenable number.

32200440130012 is an abundant number, since it is smaller than the sum of its proper divisors (42950312228516).

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

32200440130012 is a wasteful number, since it uses less digits than its factorization.

32200440130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387456 (or 9387447 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 32200440130012 its reverse (21003104400223), we get a palindrome (53203544530235).

The spelling of 32200440130012 in words is "thirty-two trillion, two hundred billion, four hundred forty million, one hundred thirty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 37 43 44 49 74 77 86 98 148 154 172 196 259 301 308 407 473 518 539 602 814 946 1036 1078 1204 1591 1628 1813 1892 2107 2156 2849 3182 3311 3626 4214 5698 6364 6622 7252 8428 11137 11396 13244 17501 19943 22274 23177 35002 39886 44548 46354 70004 77959 79772 92708 122507 155918 245014 311836 490028 857549 1715098 3430196 9387347 18774694 37549388 65711429 103260817 131422858 206521634 262845716 347331839 403655921 413043268 459980003 694663678 722825719 807311842 919960006 1389327356 1445651438 1614623684 1839920012 2431322873 2825591447 2891302876 3820650229 4440215131 4862645746 5059780033 5651182894 7641300458 8880430262 9725291492 10119560066 11302365788 14935269077 15282600916 17019260111 17760860524 19779140129 20239120132 26744551603 29870538154 31081505917 34038520222 39558280258 53489103206 59741076308 62163011834 68077040444 79116560516 104546883539 106978206412 124326023668 164287959847 187211861221 209093767078 217570541419 328575919694 374423722442 418187534156 435141082838 657151839388 731828184773 748847444884 870282165676 1150015718929 1463656369546 2300031437858 2927312739092 4600062875716 8050110032503 16100220065006 32200440130012