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232323432324240 = 243541166314197297
BaseRepresentation
bin110100110100110000000011…
…101010000001110010010000
31010110120220101110011002201110
4310310300003222001302100
5220422341342133333430
62142035524510533320
766635546141634525
oct6464600352016220
91113526343132643
10232323432324240
11680308a5984504
1222081a07507240
139c8300c59b6ba
14415272aa6b14c
151bcd3eb7607b0
hexd34c03a81c90

232323432324240 has 160 divisors (see below), whose sum is σ = 738212247392256. Its totient is φ = 60405519237120.

The previous prime is 232323432324223. The next prime is 232323432324241. The reversal of 232323432324240 is 42423234323232.

It is not an unprimeable number, because it can be changed into a prime (232323432324241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9265272 + ... + 23462568.

Almost surely, 2232323432324240 is an apocalyptic number.

232323432324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232323432324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369106123696128).

232323432324240 is an abundant number, since it is smaller than the sum of its proper divisors (505888815068016).

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

232323432324240 is a wasteful number, since it uses less digits than its factorization.

232323432324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14199017 (or 14199011 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 39.

Adding to 232323432324240 its reverse (42423234323232), we get a palindrome (274746666647472).

The spelling of 232323432324240 in words is "two hundred thirty-two trillion, three hundred twenty-three billion, four hundred thirty-two million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1663 1968 2460 3280 3326 4920 4989 6652 8315 9840 9978 13304 16630 19956 24945 26608 33260 39912 49890 66520 68183 79824 99780 133040 136366 199560 204549 272732 340915 399120 409098 545464 681830 818196 1022745 1090928 1363660 1636392 2045490 2727320 3272784 4090980 5454640 8181960 14197297 16363920 28394594 42591891 56789188 70986485 85183782 113578376 141972970 170367564 212959455 227156752 283945940 340735128 425918910 567891880 582089177 681470256 851837820 1135783760 1164178354 1703675640 1746267531 2328356708 2910445885 3407351280 3492535062 4656713416 5820891770 6985070124 8731337655 9313426832 11641783540 13970140248 17462675310 23283567080 23610104911 27940280496 34925350620 46567134160 47220209822 69850701240 70830314733 94440419644 118050524555 139701402480 141660629466 188880839288 236101049110 283321258932 354151573665 377761678576 472202098220 566642517864 708303147330 944404196440 968014301351 1133285035728 1416606294660 1888808392880 1936028602702 2833212589320 2904042904053 3872057205404 4840071506755 5666425178640 5808085808106 7744114410808 9680143013510 11616171616212 14520214520265 15488228821616 19360286027020 23232343232424 29040429040530 38720572054040 46464686464848 58080858081060 77441144108080 116161716162120 232323432324240