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14421936384 = 28332086507
BaseRepresentation
bin11010110111001110…
…10100100100000000
31101020002102021111000
431123213110210000
5214014003431014
610343024052000
71020250302522
oct153347244400
941202367430
1014421936384
116130897299
122965a64000
13148ab6108b
149ab54ba12
155961cb509
hex35b9d4900

14421936384 has 72 divisors (see below), whose sum is σ = 42648223520. Its totient is φ = 4807309824.

The previous prime is 14421936337. The next prime is 14421936391. The reversal of 14421936384 is 48363912441.

14421936384 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 1 + 9 + 3 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036342 + ... + 1050165.

Almost surely, 214421936384 is an apocalyptic number.

It is an amenable number.

14421936384 is an abundant number, since it is smaller than the sum of its proper divisors (28226287136).

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

14421936384 is an equidigital number, since it uses as much as digits as its factorization.

14421936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086532 (or 2086512 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 14421936384 in words is "fourteen billion, four hundred twenty-one million, nine hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 2086507 4173014 6259521 8346028 12519042 16692056 18778563 25038084 33384112 37557126 50076168 56335689 66768224 75114252 100152336 112671378 133536448 150228504 200304672 225342756 267072896 300457008 400609344 450685512 534145792 600914016 801218688 901371024 1201828032 1602437376 1802742048 2403656064 3605484096 4807312128 7210968192 14421936384