Search a number
-
+
323442342101142 = 234111923340999603
BaseRepresentation
bin100100110001010110100100…
…1111010000000000010010110
31120102012210012221101100020000
41021202231021322000002112
5314343234404034214032
63103523205524152130
7125061636520551105
oct11142551172000226
91512183187340200
10323442342101142
1194071143a9a950
1230339361b38646
1310b62635c024a4
1459c299b3c803c
15275d726c54e7c
hex1262b49e80096

323442342101142 has 160 divisors (see below), whose sum is σ = 835821207112320. Its totient is φ = 92455742494080.

The previous prime is 323442342101093. The next prime is 323442342101171. The reversal of 323442342101142 is 241101243244323.

323442342101142 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 423 + 4 + 210 + 1 + 14 + 2 = 666.

It is a super-2 number, since 2×3234423421011422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323442342101097 and 323442342101106.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 12610888 + ... + 28388715.

It is an arithmetic number, because the mean of its divisors is an integer number (5223882544452).

Almost surely, 2323442342101142 is an apocalyptic number.

323442342101142 is an abundant number, since it is smaller than the sum of its proper divisors (512378865011178).

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

323442342101142 is a wasteful number, since it uses less digits than its factorization.

323442342101142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40999880 (or 40999871 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 323442342101142 its reverse (241101243244323), we get a palindrome (564543585345465).

The spelling of 323442342101142 in words is "three hundred twenty-three trillion, four hundred forty-two billion, three hundred forty-two million, one hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 233 297 342 418 466 513 594 627 699 891 1026 1254 1398 1539 1782 1881 2097 2563 3078 3762 4194 4427 5126 5643 6291 7689 8854 11286 12582 13281 15378 16929 18873 23067 26562 33858 37746 39843 46134 48697 69201 79686 97394 119529 138402 146091 207603 239058 292182 358587 415206 438273 717174 876546 1314819 2629638 3944457 7888914 40999603 81999206 122998809 245997618 368996427 450995633 737992854 778992457 901991266 1106989281 1352986899 1557984914 2213978562 2336977371 2705973798 3320967843 4058960697 4673954742 6641935686 7010932113 8117921394 8568917027 9552907499 12176882091 14021864226 17137834054 19105814998 21032796339 24353764182 25706751081 28658722497 36530646273 42065592678 51413502162 57317444994 63098389017 73061292546 77120253243 85976167491 105081982489 126196778034 154240506486 171952334982 181505242481 210163964978 231360759729 257928502473 315245947467 363010484962 462721519458 515857004946 544515727443 630491894934 694082279187 773785507419 945737842401 1089031454886 1388164558374 1547571014838 1633547182329 1891475684802 1996557667291 2837213527203 3267094364658 3993115334582 4900641546987 5674427054406 5989673001873 8511640581609 9801283093974 11979346003746 14701924640961 17023281163218 17969019005619 29403849281922 35938038011238 53907057016857 107814114033714 161721171050571 323442342101142