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214014121111140 = 223574311850172819
BaseRepresentation
bin110000101010010100001011…
…101010100110111001100100
31001001202112212001220210011020
4300222110023222212321210
5211022401410001024030
62035100421401011140
763036003300313410
oct6052241352467144
91031675761823136
10214014121111140
1162211974037819
1220005454183ab0
1392555a294759c
143abc4a5693d40
1519b1ee9a45510
hexc2a50baa6e64

214014121111140 has 96 divisors (see below), whose sum is σ = 700771819883520. Its totient is φ = 47779896802176.

The previous prime is 214014121111093. The next prime is 214014121111171. The reversal of 214014121111140 is 41111121410412.

It is a self number, because there is not a number n which added to its sum of digits gives 214014121111140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5925068350 + ... + 5925104469.

It is an arithmetic number, because the mean of its divisors is an integer number (7299706457120).

Almost surely, 2214014121111140 is an apocalyptic number.

214014121111140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214014121111140 is an abundant number, since it is smaller than the sum of its proper divisors (486757698772380).

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

214014121111140 is a wasteful number, since it uses less digits than its factorization.

214014121111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11850172881 (or 11850172879 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 214014121111140 its reverse (41111121410412), we get a palindrome (255125242521552).

The spelling of 214014121111140 in words is "two hundred fourteen trillion, fourteen billion, one hundred twenty-one million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 11850172819 23700345638 35550518457 47400691276 59250864095 71101036914 82951209733 118501728190 142202073828 165902419466 177752592285 237003456380 248853629199 331804838932 355505184570 414756048665 497707258398 509557431217 711010369140 829512097330 995414516796 1019114862434 1244268145995 1528672293651 1659024194660 2038229724868 2488536291990 2547787156085 3057344587302 3566902018519 4977072583980 5095574312170 6114689174604 7133804037038 7643361468255 10191148624340 10700706055557 14267608074076 15286722936510 17834510092595 21401412111114 30573445873020 35669020185190 42802824222228 53503530277785 71338040370380 107007060555570 214014121111140