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224142334342104 = 23331751059577007
BaseRepresentation
bin110010111101101100110100…
…001101111011001111011000
31002101121210112122222000021110
4302331230310031323033120
5213334322000042421404
62112413322240340320
765132514665315133
oct6275546415731730
91071553478860243
10224142334342104
11654672593a2942
12211803523146a0
13980b6ba73a939
143d4c79285b21a
151ada6caa08b89
hexcbdb3437b3d8

224142334342104 has 64 divisors (see below), whose sum is σ = 562135503398400. Its totient is φ = 74476832495744.

The previous prime is 224142334342057. The next prime is 224142334342117. The reversal of 224142334342104 is 401243433241422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388168369 + ... + 388745375.

It is an arithmetic number, because the mean of its divisors is an integer number (8783367240600).

Almost surely, 2224142334342104 is an apocalyptic number.

224142334342104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224142334342104 is an abundant number, since it is smaller than the sum of its proper divisors (337993169056296).

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

224142334342104 is a wasteful number, since it uses less digits than its factorization.

224142334342104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628392 (or 628388 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 224142334342104 its reverse (401243433241422), we get a palindrome (625385767583526).

The spelling of 224142334342104 in words is "two hundred twenty-four trillion, one hundred forty-two billion, three hundred thirty-four million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 317 634 951 1268 1902 2536 3804 7608 51059 102118 153177 204236 306354 408472 577007 612708 1154014 1225416 1731021 2308028 3462042 4616056 6924084 13848168 16185703 32371406 48557109 64742812 97114218 129485624 182911219 194228436 365822438 388456872 548733657 731644876 1097467314 1463289752 2194934628 4389869256 29461400413 58922800826 88384201239 117845601652 176768402478 235691203304 353536804956 707073609912 9339263930921 18678527861842 28017791792763 37357055723684 56035583585526 74714111447368 112071167171052 224142334342104