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4004324142414 = 2337133121135497
BaseRepresentation
bin111010010001010100010…
…100010110110101001110
3112011210212020022220011220
4322101110110112311032
51011101323440024124
612303321111224210
7562205612420241
oct72212424266516
915153766286156
104004324142414
111304251649892
12548094078066
132307b591b99b
14dbb4b74d258
156e26590c879
hex3a454516d4e

4004324142414 has 32 divisors (see below), whose sum is σ = 8225220728736. Its totient is φ = 1298680381440.

The previous prime is 4004324142397. The next prime is 4004324142419. The reversal of 4004324142414 is 4142414234004.

It is a super-3 number, since 3×40043241424143 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004324142419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29485114 + ... + 29620610.

It is an arithmetic number, because the mean of its divisors is an integer number (257038147773).

Almost surely, 24004324142414 is an apocalyptic number.

4004324142414 is an abundant number, since it is smaller than the sum of its proper divisors (4220896586322).

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

4004324142414 is a wasteful number, since it uses less digits than its factorization.

4004324142414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268660.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4004324142414 its reverse (4142414234004), we get a palindrome (8146738376418).

The spelling of 4004324142414 in words is "four trillion, four billion, three hundred twenty-four million, one hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 133121 135497 266242 270994 399363 406491 798726 812982 4925477 5013389 9850954 10026778 14776431 15040167 29552862 30080334 18037496137 36074992274 54112488411 108224976822 667387357069 1334774714138 2002162071207 4004324142414