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4004012143287 = 32131011409240479
BaseRepresentation
bin111010010001000001101…
…110001011001010110111
3112011210001111020200211200
4322101001232023022313
51011100204102041122
612303230124103543
7562165103443632
oct72210156131267
915153044220750
104004012143287
11130410151a272
12548007694bb3
132307660ac410
14dbb1c134c19
156e24832d5ac
hex3a441b8b2b7

4004012143287 has 48 divisors (see below), whose sum is σ = 6294621715200. Its totient is φ = 2437869772800.

The previous prime is 4004012143267. The next prime is 4004012143303. The reversal of 4004012143287 is 7823412104004.

4004012143287 is a `hidden beast` number, since 4 + 0 + 0 + 401 + 214 + 32 + 8 + 7 = 666.

4004012143287 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4004012143287 - 230 = 4002938401463 is a prime.

It is a super-3 number, since 3×40040121432873 (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 (4004012143267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16529914 + ... + 16770392.

It is an arithmetic number, because the mean of its divisors is an integer number (131137952400).

Almost surely, 24004012143287 is an apocalyptic number.

4004012143287 is a deficient number, since it is larger than the sum of its proper divisors (2290609571913).

4004012143287 is a wasteful number, since it uses less digits than its factorization.

4004012143287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242008 (or 242005 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 4004012143287 in words is "four trillion, four billion, twelve million, one hundred forty-three thousand, two hundred eighty-seven".

Divisors: 1 3 9 13 39 101 117 303 909 1313 1409 3939 4227 11817 12681 18317 54951 142309 164853 240479 426927 721437 1280781 1850017 2164311 3126227 5550051 9378681 16650153 24288379 28136043 72865137 218595411 315748927 338834911 947246781 1016504733 2841740343 3049514199 4404853843 13214561529 34222326011 39643684587 102666978033 308000934099 444890238143 1334670714429 4004012143287