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442430041230414 = 232194727524576411
BaseRepresentation
bin110010010011000110100010…
…1011100100000110001001110
32011000111220021021110222021200
41210212031011130200301032
5430442233211023333124
64204545315520210330
7162122341602445326
oct14446150534406116
92130456237428250
10442430041230414
11118a765881689a6
1241755aa57699a6
1315cb3c877878a3
147b37a2a474286
153623949c91bc9
hex1926345720c4e

442430041230414 has 48 divisors (see below), whose sum is σ = 1030520140865280. Its totient is φ = 136742095604880.

The previous prime is 442430041230403. The next prime is 442430041230479. The reversal of 442430041230414 is 414032140034244.

442430041230414 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 3 + 0 + 0 + 4 + 1 + 230 + 414 = 666.

It is a super-2 number, since 2×4424300412304142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13762272132 + ... + 13762304279.

It is an arithmetic number, because the mean of its divisors is an integer number (21469169601360).

Almost surely, 2442430041230414 is an apocalyptic number.

442430041230414 is an abundant number, since it is smaller than the sum of its proper divisors (588090099634866).

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

442430041230414 is a wasteful number, since it uses less digits than its factorization.

442430041230414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27524576485 (or 27524576482 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 442430041230414 its reverse (414032140034244), we get a palindrome (856462181264658).

The spelling of 442430041230414 in words is "four hundred forty-two trillion, four hundred thirty billion, forty-one million, two hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 16074 27524576411 55049152822 82573729233 165147458466 247721187699 495442375398 522966951809 1045933903618 1293655091317 1568900855427 2587310182634 3137801710854 3880965273951 4706702566281 7761930547902 9413405132562 11642895821853 23285791643706 24579446735023 49158893470046 73738340205069 147476680410138 221215020615207 442430041230414