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332320141023234 = 237131773348843989
BaseRepresentation
bin100101110001111100100111…
…1111101010001100000000010
31121120122111101000022012210220
41023203321033331101200002
5322024213122100220414
63134441433141403510
7126666223614365250
oct11343711775214002
91546574330265726
10332320141023234
11969841a9048501
1231331a52a09596
1311357868889950
145c0c5486c95d0
1528646220e9ca9
hex12e3e4ff51802

332320141023234 has 128 divisors (see below), whose sum is σ = 867319213662720. Its totient is φ = 82376753393664.

The previous prime is 332320141023223. The next prime is 332320141023293. The reversal of 332320141023234 is 432320141023233.

It is a super-2 number, since 2×3323201410232342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332320141023195 and 332320141023204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17618289 + ... + 31225700.

It is an arithmetic number, because the mean of its divisors is an integer number (6775931356740).

Almost surely, 2332320141023234 is an apocalyptic number.

332320141023234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

332320141023234 is an abundant number, since it is smaller than the sum of its proper divisors (534999072639486).

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

332320141023234 is a wasteful number, since it uses less digits than its factorization.

332320141023234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48844764.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 332320141023234 its reverse (432320141023233), we get a palindrome (764640282046467).

Subtracting 332320141023234 from its reverse (432320141023233), we obtain a palindrome (99999999999999).

The spelling of 332320141023234 in words is "three hundred thirty-two trillion, three hundred twenty billion, one hundred forty-one million, twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 733 1326 1466 1547 2199 3094 4398 4641 5131 9282 9529 10262 12461 15393 19058 24922 28587 30786 37383 57174 66703 74766 87227 133406 161993 174454 200109 261681 323986 400218 485979 523362 971958 1133951 2267902 3401853 6803706 48843989 97687978 146531967 293063934 341907923 634971857 683815846 830347813 1025723769 1269943714 1660695626 1904915571 2051447538 2491043439 3809831142 4444802999 4982086878 5812434691 8889605998 10794521569 11624869382 13334408997 17437304073 21589043138 26668817994 32383564707 34874608146 35802643937 64767129414 71605287874 75561650983 107407931811 151123301966 214815863622 226684952949 250618507559 453369905898 465434371181 501237015118 608644946929 751855522677 930868742362 1217289893858 1396303113543 1503711045354 1825934840787 2792606227086 3258040598267 3651869681574 4260514628503 6516081196534 7912384310077 8521029257006 9774121794801 12781543885509 15824768620154 19548243589602 23737152930231 25563087771018 47474305860462 55386690170539 110773380341078 166160070511617 332320141023234