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320144551340103 = 33723492269305581
BaseRepresentation
bin100100011001010110111011…
…0010000100110100001000111
31112222112112001020021000011000
41020302231312100212201013
5313430222020120340403
63052520213155144343
7124301452266600300
oct11062556620464107
91488475036230130
10320144551340103
119300a5a60978a6
122baa61aa5a50b3
131098366a18b699
14590b1169537a7
152702a63c967a3
hex1232b76426847

320144551340103 has 96 divisors (see below), whose sum is σ = 553549569720000. Its totient is φ = 182334569598720.

The previous prime is 320144551340021. The next prime is 320144551340129. The reversal of 320144551340103 is 301043155441023.

320144551340103 is a `hidden beast` number, since 3 + 20 + 1 + 44 + 551 + 3 + 40 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 320144551340103 - 212 = 320144551336007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320144551340203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047505773 + ... + 1047811353.

It is an arithmetic number, because the mean of its divisors is an integer number (5766141351250).

Almost surely, 2320144551340103 is an apocalyptic number.

320144551340103 is a deficient number, since it is larger than the sum of its proper divisors (233405018379897).

320144551340103 is a wasteful number, since it uses less digits than its factorization.

320144551340103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308222 (or 308209 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 320144551340103 in words is "three hundred twenty trillion, one hundred forty-four billion, five hundred fifty-one million, three hundred forty thousand, one hundred three".

Divisors: 1 3 7 9 21 27 49 63 147 189 349 441 1047 1323 2269 2443 3141 6807 7329 9423 15883 17101 20421 21987 47649 51303 61263 65961 111181 142947 153909 305581 333543 428841 461727 791881 916743 1000629 2139067 2375643 2750229 3001887 5543167 6417201 7126929 8250687 14973469 16629501 19251603 21380787 38802169 44920407 49888503 57754809 106647769 116406507 134761221 149665509 319943307 349219521 404283663 693363289 746534383 959829921 1047658563 2080089867 2239603149 2879489763 4853543023 5225740681 6240269601 6718809447 14560629069 15677222043 18720808803 20156428341 33974801161 43681887207 47031666129 101924403483 131045661621 141094998387 241983787861 305773210449 725951363583 917319631347 1693886515027 2177854090749 5081659545081 6533562272247 11857205605189 15244978635243 35571616815567 45734935905729 106714850446701 320144551340103