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245341443032334 = 2321118121017325729
BaseRepresentation
bin110111110010001100000001…
…100011111000010100001110
31012011200102010222222101202200
4313302030001203320110032
5224124133233404013314
62225444145235302330
7102451222446130245
oct6762140143702416
91164612128871680
10245341443032334
117119a7a360a820
1223624994a4a9a6
13a6b87a276632c
144482836aa995c
151d56d621b8709
hexdf23018f850e

245341443032334 has 96 divisors (see below), whose sum is σ = 583131346892640. Its totient is φ = 73931396198400.

The previous prime is 245341443032311. The next prime is 245341443032341. The reversal of 245341443032334 is 433230344143542.

245341443032334 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 1 + 4 + 4 + 303 + 2 + 334 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 245341443032334.

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, 753044382 + ... + 753370110.

It is an arithmetic number, because the mean of its divisors is an integer number (6074284863465).

Almost surely, 2245341443032334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245341443032334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291565673446320).

245341443032334 is an abundant number, since it is smaller than the sum of its proper divisors (337789903860306).

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

245341443032334 is a wasteful number, since it uses less digits than its factorization.

245341443032334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346946 (or 346943 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 45.

Adding to 245341443032334 its reverse (433230344143542), we get a palindrome (678571787175876).

The spelling of 245341443032334 in words is "two hundred forty-five trillion, three hundred forty-one billion, four hundred forty-three million, thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3982 5973 11946 17919 21017 35838 42034 63051 126102 189153 231187 325729 378306 462374 651458 693561 977187 1387122 1954374 2080683 2931561 3583019 3804077 4161366 5863122 7166038 7608154 10749057 11412231 21498114 22824462 32247171 34236693 41844847 58956949 64494342 68473386 83689694 117913898 125534541 176870847 251069082 353741694 376603623 530612541 648526439 753207246 1061225082 1297052878 1945579317 3891158634 5836737951 6845846393 11673475902 13691692786 20537539179 41075078358 61612617537 75304310323 123225235074 150608620646 225912930969 451825861938 677738792907 1239098197133 1355477585814 2478196394266 3717294591399 7434589182798 11151883774197 13630080168463 22303767548394 27260160336926 40890240505389 81780481010778 122670721516167 245341443032334