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232441231040 = 26523241113099
BaseRepresentation
bin1101100001111010010…
…0111011011011000000
3211012222020011222021222
43120132210323123000
512302014423343130
6254440530134212
722536052602344
oct3303644733300
9735866158258
10232441231040
118a63a019247
1239070121368
1318bc43a7b85
14b37083d624
1560a656ace5
hex361e93b6c0

232441231040 has 112 divisors (see below), whose sum is σ = 577849593600. Its totient is φ = 88890362880.

The previous prime is 232441231039. The next prime is 232441231049. The reversal of 232441231040 is 40132144232.

232441231040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (232441231049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17738411 + ... + 17751509.

Almost surely, 2232441231040 is an apocalyptic number.

232441231040 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 232441231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288924796800).

232441231040 is an abundant number, since it is smaller than the sum of its proper divisors (345408362560).

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

232441231040 is a wasteful number, since it uses less digits than its factorization.

232441231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15550 (or 15540 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 232441231040 its reverse (40132144232), we get a palindrome (272573375272).

The spelling of 232441231040 in words is "two hundred thirty-two billion, four hundred forty-one million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 2411 3680 4822 7360 9644 12055 13099 19288 24110 26198 38576 48220 52396 55453 65495 77152 96440 104792 110906 130990 154304 192880 209584 221812 261980 277265 301277 385760 419168 443624 523960 554530 602554 771520 838336 887248 1047920 1109060 1205108 1506385 1774496 2095840 2218120 2410216 3012770 3548992 4191680 4436240 4820432 6025540 8872480 9640864 12051080 17744960 19281728 24102160 31581689 48204320 63163378 96408640 126326756 157908445 252653512 315816890 505307024 631633780 726378847 1010614048 1263267560 1452757694 2021228096 2526535120 2905515388 3631894235 5053070240 5811030776 7263788470 10106140480 11622061552 14527576940 23244123104 29055153880 46488246208 58110307760 116220615520 232441231040