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22142130420339 = 35198964518353
BaseRepresentation
bin1010000100011010111011…
…10100010111101001110011
32220101202201010202210200000
411002031131310113221303
510400234040341422324
6115031542043201043
74443500430122166
oct502153564275163
986352633683600
1022142130420339
117067474418326
122597362816183
13c47cbc8b9337
14567983263add
15285e7ab0a9c9
hex14235dd17a73

22142130420339 has 96 divisors (see below), whose sum is σ = 35315285241600. Its totient is φ = 13823575603200.

The previous prime is 22142130420287. The next prime is 22142130420373. The reversal of 22142130420339 is 93302403124122.

22142130420339 is a `hidden beast` number, since 2 + 2 + 14 + 2 + 1 + 304 + 2 + 0 + 339 = 666.

It is not a de Polignac number, because 22142130420339 - 213 = 22142130412147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22142130422339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2650795587 + ... + 2650803939.

It is an arithmetic number, because the mean of its divisors is an integer number (367867554600).

Almost surely, 222142130420339 is an apocalyptic number.

22142130420339 is a deficient number, since it is larger than the sum of its proper divisors (13173154821261).

22142130420339 is an equidigital number, since it uses as much as digits as its factorization.

22142130420339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14927 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 22142130420339 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirty million, four hundred twenty thousand, three hundred thirty-nine".

Divisors: 1 3 9 19 27 57 81 89 171 243 267 513 801 1539 1691 2403 4617 5073 6451 7209 8353 15219 19353 21627 25059 45657 58059 75177 122569 136971 158707 174177 225531 367707 410913 476121 522531 574139 676593 743417 1103121 1428363 1567593 1722417 2029779 2230251 3309363 4285089 5167251 6690753 9928089 10908641 12855267 14124923 15501753 20072259 29784267 32725923 38565801 42374769 46505259 53885203 60216777 98177769 127124307 139515777 161655609 180650331 294533307 381372921 484966827 883599921 1023818857 1144118763 1454900481 2650799763 3071456571 3432356289 4364701443 4795783067 9214369713 13094104329 14387349201 27643109139 43162047603 82929327417 91119878273 129486142809 248787982251 273359634819 388458428427 820078904457 1165375285281 2460236713371 7380710140113 22142130420339