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233041343315440 = 245114719329194103
BaseRepresentation
bin110100111111001100101010…
…011111000111110111110000
31010120010112102220100010100211
4310333030222133013313300
5221021122132342043230
62143345414250553504
7100041452506446352
oct6477145237076760
91116115386303324
10233041343315440
1168288307a20970
1222178b82438894
13a0059206a318a
144179392a2d0d2
151be1e17e8d42a
hexd3f32a7c7df0

233041343315440 has 160 divisors (see below), whose sum is σ = 606781468071936. Its totient is φ = 82509538836480.

The previous prime is 233041343315419. The next prime is 233041343315453. The reversal of 233041343315440 is 44513343140332.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 233041343315393 and 233041343315402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6614572 + ... + 22579531.

Almost surely, 2233041343315440 is an apocalyptic number.

233041343315440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233041343315440 is an abundant number, since it is smaller than the sum of its proper divisors (373740124756496).

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

233041343315440 is a wasteful number, since it uses less digits than its factorization.

233041343315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29194367 (or 29194361 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

Adding to 233041343315440 its reverse (44513343140332), we get a palindrome (277554686455772).

The spelling of 233041343315440 in words is "two hundred thirty-three trillion, forty-one billion, three hundred forty-three million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 193 220 235 376 386 440 470 517 752 772 880 940 965 1034 1544 1880 1930 2068 2123 2585 3088 3760 3860 4136 4246 5170 7720 8272 8492 9071 10340 10615 15440 16984 18142 20680 21230 33968 36284 41360 42460 45355 72568 84920 90710 99781 145136 169840 181420 199562 362840 399124 498905 725680 798248 997810 1596496 1995620 3991240 7982480 29194103 58388206 116776412 145970515 233552824 291941030 321135133 467105648 583882060 642270266 1167764120 1284540532 1372122841 1605675665 2335528240 2569081064 2744245682 3211351330 5138162128 5488491364 5634461879 6422702660 6860614205 10976982728 11268923758 12845405320 13721228410 15093351251 21953965456 22537847516 25690810640 27442456820 28172309395 30186702502 45075695032 54884913640 56344618790 60373405004 61979080669 75466756255 90151390064 109769827280 112689237580 120746810008 123958161338 150933512510 225378475160 241493620016 247916322676 264819708313 301867025020 309895403345 450756950320 495832645352 529639416626 603734050040 619790806690 991665290704 1059278833252 1207468100080 1239581613380 1324098541565 2118557666504 2479163226760 2648197083130 2913016791443 4237115333008 4958326453520 5296394166260 5826033582886 10592788332520 11652067165772 14565083957215 21185576665040 23304134331544 29130167914430 46608268663088 58260335828860 116520671657720 233041343315440