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442422404391 = 311294142126783
BaseRepresentation
bin1100111000000100110…
…11100010010100100111
31120021222011210210121110
412130002123202110213
524222040113420031
6535125051320103
743651432250202
oct6340233422447
91507864723543
10442422404391
111606a2a05740
12718b2450033
1332949522186
14175b0382939
15b795dcec46
hex67026e2527

442422404391 has 64 divisors (see below), whose sum is σ = 683596247040. Its totient is φ = 251965056000.

The previous prime is 442422404383. The next prime is 442422404497. The reversal of 442422404391 is 193404224244.

It is not a de Polignac number, because 442422404391 - 23 = 442422404383 is a prime.

It is a super-2 number, since 2×4424224043912 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442422404591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16505386 + ... + 16532168.

It is an arithmetic number, because the mean of its divisors is an integer number (10681191360).

Almost surely, 2442422404391 is an apocalyptic number.

442422404391 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

442422404391 is a deficient number, since it is larger than the sum of its proper divisors (241173842649).

442422404391 is a wasteful number, since it uses less digits than its factorization.

442422404391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27288.

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 442422404391 in words is "four hundred forty-two billion, four hundred twenty-two million, four hundred four thousand, three hundred ninety-one".

Divisors: 1 3 11 29 33 41 87 123 319 421 451 957 1189 1263 1353 3567 4631 12209 13079 13893 17261 26783 36627 39237 51783 80349 134299 189871 294613 402897 500569 569613 776707 883839 1098103 1501707 2330121 3294309 5506259 8543777 11275643 12079133 16518777 25631331 31844987 33826929 36237399 95534961 124032073 326993647 350294857 372096219 462301363 980980941 1050884571 1386904089 3596930117 5085314993 10790790351 13406739527 15255944979 40220218581 147474134797 442422404391