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320113464321042 = 232723473727290443
BaseRepresentation
bin100100011001001000011100…
…1010101000010010000010010
31112222102112210201112210221200
41020302100321111002100102
5313424214333331233132
63052454032332332030
7124266302030361540
oct11062207125022022
91488375721483850
10320113464321042
1192aa83a32a5307
122baa0173614016
131098075483c252
145909807dc8d90
152701d449ecd7c
hex1232439542412

320113464321042 has 96 divisors (see below), whose sum is σ = 793215148357632. Its totient is φ = 91397176150752.

The previous prime is 320113464320927. The next prime is 320113464321043. The reversal of 320113464321042 is 240123464311023.

320113464321042 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 1 + 3 + 4 + 643 + 2 + 1 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320113464320988 and 320113464321006.

It is not an unprimeable number, because it can be changed into a prime (320113464321043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102010673 + ... + 1102301115.

It is an arithmetic number, because the mean of its divisors is an integer number (8262657795392).

Almost surely, 2320113464321042 is an apocalyptic number.

320113464321042 is an abundant number, since it is smaller than the sum of its proper divisors (473101684036590).

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

320113464321042 is a wasteful number, since it uses less digits than its factorization.

320113464321042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296532 (or 296529 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 320113464321042 in words is "three hundred twenty trillion, one hundred thirteen billion, four hundred sixty-four million, three hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2347 3727 4694 7041 7454 11181 14082 16429 21123 22362 26089 32858 33543 42246 49287 52178 67086 78267 98574 147861 156534 234801 290443 295722 469602 580886 871329 1742658 2033101 2613987 4066202 5227974 6099303 8747269 12198606 17494538 18297909 26241807 36595818 52483614 61230883 78725421 122461766 157450842 183692649 367385298 551077947 681669721 1082481061 1102155894 1363339442 2045009163 2164962122 3247443183 4090018326 4771688047 6135027489 6494886366 7577367427 9543376094 9742329549 12270054978 14315064141 15154734854 19484659098 22732102281 28630128282 42945192423 45464204562 68196306843 85890384846 136392613686 2540583050167 5081166100334 7621749150501 15243498301002 17784081351169 22865247451503 35568162702338 45730494903006 53352244053507 106704488107014 160056732160521 320113464321042