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241253320214120 = 23589216131359457
BaseRepresentation
bin110110110110101100101010…
…011100111100011001101000
31011122012120222200122201000112
4312312230222130330121220
5223110143244433322440
62213034124551353452
7101546656114412564
oct6666545234743150
91148176880581015
10241253320214120
116a963a5a888575
1223084614982888
13a480123a200a6
144380a19cb66a4
151cd5844a83965
hexdb6b2a73c668

241253320214120 has 64 divisors (see below), whose sum is σ = 549173100387600. Its totient is φ = 95372886343680.

The previous prime is 241253320214087. The next prime is 241253320214129. The reversal of 241253320214120 is 21412023352142.

It can be written as a sum of positive squares in 8 ways, for example, as 144351622388164 + 96901697825956 = 12014642^2 + 9843866^2 .

It is not an unprimeable number, because it can be changed into a prime (241253320214129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7986569 + ... + 23372888.

Almost surely, 2241253320214120 is an apocalyptic number.

241253320214120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241253320214120 is an abundant number, since it is smaller than the sum of its proper divisors (307919780173480).

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

241253320214120 is a wasteful number, since it uses less digits than its factorization.

241253320214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31361718 (or 31361714 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 241253320214120 its reverse (21412023352142), we get a palindrome (262665343566262).

The spelling of 241253320214120 in words is "two hundred forty-one trillion, two hundred fifty-three billion, three hundred twenty million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 2161 3560 4322 8644 10805 17288 21610 43220 86440 192329 384658 769316 961645 1538632 1923290 3846580 7693160 31359457 62718914 125437828 156797285 250875656 313594570 627189140 1254378280 2790991673 5581983346 11163966692 13954958365 22327933384 27909916730 55819833460 67767786577 111639666920 135535573154 271071146308 338838932885 542142292616 677677865770 1355355731540 2710711463080 6031333005353 12062666010706 24125332021412 30156665026765 48250664042824 60313330053530 120626660107060 241253320214120