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4022042102442 = 2327136134005643
BaseRepresentation
bin111010100001110100011…
…001000000101010101010
3112020111121000210112002200
4322201310121000222222
51011344120234234232
612315411200441030
7563403644534340
oct72416431005252
915214530715080
104022042102442
111310813a04461
1254b5b9919176
1323237a59c1c0
14dc94c91d990
156e95115377c
hex3a874640aaa

4022042102442 has 96 divisors (see below), whose sum is σ = 10742944937088. Its totient is φ = 1059027654528.

The previous prime is 4022042102431. The next prime is 4022042102489. The reversal of 4022042102442 is 2442012402204.

4022042102442 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 0 + 4 + 210 + 2 + 442 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998728 + ... + 3006915.

It is an arithmetic number, because the mean of its divisors is an integer number (111905676428).

Almost surely, 24022042102442 is an apocalyptic number.

4022042102442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4022042102442 is an abundant number, since it is smaller than the sum of its proper divisors (6720902834646).

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

4022042102442 is a wasteful number, since it uses less digits than its factorization.

4022042102442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006284 (or 4006281 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4022042102442 its reverse (2442012402204), we get a palindrome (6464054504646).

The spelling of 4022042102442 in words is "four trillion, twenty-two billion, forty-two million, one hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 613 819 1226 1638 1839 3678 4291 5517 7969 8582 11034 12873 15938 23907 25746 38619 47814 55783 71721 77238 111566 143442 167349 334698 502047 1004094 4005643 8011286 12016929 24033858 28039501 36050787 52073359 56079002 72101574 84118503 104146718 156220077 168237006 252355509 312440154 364513513 468660231 504711018 729027026 937320462 1093540539 2187081078 2455459159 3280621617 4910918318 6561243234 7366377477 14732754954 17188214113 22099132431 31920969067 34376428226 44198264862 51564642339 63841938134 95762907201 103129284678 154693927017 191525814402 223446783469 287288721603 309387854034 446893566938 574577443206 670340350407 1340680700814 2011021051221 4022042102442