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240534343201040 = 24572175813490177
BaseRepresentation
bin110110101100001111000100…
…000101010011000100010000
31011112122212011221120011021022
4312230033010011103010100
5223011403313324413130
62211323541331015012
7101444014153552400
oct6654170405230420
91145585157504238
10240534343201040
116a707051024099
1222b89200a3a468
13a42a3a2b03535
144357cd24dc800
151cc1cb49827e5
hexdac3c4153110

240534343201040 has 120 divisors (see below), whose sum is σ = 650584410336792. Its totient is φ = 82464203243520.

The previous prime is 240534343201007. The next prime is 240534343201043. The reversal of 240534343201040 is 40102343435042.

It can be written as a sum of positive squares in 4 ways, for example, as 755807674384 + 239778535526656 = 869372^2 + 15484784^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (240534343201043) 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 23 ways as a sum of consecutive naturals, for example, 67172432 + ... + 70662608.

Almost surely, 2240534343201040 is an apocalyptic number.

240534343201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240534343201040 is an abundant number, since it is smaller than the sum of its proper divisors (410050067135752).

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

240534343201040 is a wasteful number, since it uses less digits than its factorization.

240534343201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507785 (or 3507772 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 240534343201040 its reverse (40102343435042), we get a palindrome (280636686636082).

The spelling of 240534343201040 in words is "two hundred forty trillion, five hundred thirty-four billion, three hundred forty-three million, two hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 17581 35162 70324 87905 123067 140648 175810 246134 281296 351620 492268 615335 703240 861469 984536 1230670 1406480 1722938 1969072 2461340 3445876 3490177 4307345 4922680 6891752 6980354 8614690 9845360 13783504 13960708 17229380 17450885 24431239 27921416 34458760 34901770 48862478 55842832 68917520 69803540 97724956 122156195 139607080 171018673 195449912 244312390 279214160 342037346 390899824 488624780 684074692 855093365 977249560 1368149384 1710186730 1954499120 2736298768 3420373460 6840746920 13681493840 61360801837 122721603674 245443207348 306804009185 429525612859 490886414696 613608018370 859051225718 981772829392 1227216036740 1718102451436 2147628064295 2454432073480 3006679290013 3436204902872 4295256128590 4908864146960 6013358580026 6872409805744 8590512257180 12026717160052 15033396450065 17181024514360 24053434320104 30066792900130 34362049028720 48106868640208 60133585800260 120267171600520 240534343201040