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332204203003144 = 23294353718849413
BaseRepresentation
bin100101110001000110101000…
…1100000110100110100001000
31121120020102010002110120012211
41023202031101200310310020
5322020313201432100034
63134312300511314504
7126654650560441003
oct11342152140646410
91546212102416184
10332204203003144
119693a01405aa7a
123131349751ba34
13113499500b51b4
145c06aaaa2c53a
1528615d8a5dd64
hex12e2351834d08

332204203003144 has 128 divisors (see below), whose sum is σ = 681249128313600. Its totient is φ = 151524587934720.

The previous prime is 332204203003051. The next prime is 332204203003157. The reversal of 332204203003144 is 441300302402233.

It is a happy number.

It is a super-2 number, since 2×3322042030031442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33114982 + ... + 41964394.

It is an arithmetic number, because the mean of its divisors is an integer number (5322258814950).

Almost surely, 2332204203003144 is an apocalyptic number.

It is an amenable number.

332204203003144 is an abundant number, since it is smaller than the sum of its proper divisors (349044925310456).

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

332204203003144 is a wasteful number, since it uses less digits than its factorization.

332204203003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849615 (or 8849611 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 332204203003144 its reverse (441300302402233), we get a palindrome (773504505405377).

The spelling of 332204203003144 in words is "three hundred thirty-two trillion, two hundred four billion, two hundred three million, three thousand, one hundred forty-four".

Divisors: 1 2 4 8 29 43 53 58 71 86 106 116 142 172 212 232 284 344 424 568 1247 1537 2059 2279 2494 3053 3074 3763 4118 4558 4988 6106 6148 7526 8236 9116 9976 12212 12296 15052 16472 18232 24424 30104 66091 88537 109127 132182 161809 177074 218254 264364 323618 354148 436508 528728 647236 708296 873016 1294472 4692461 8849413 9384922 17698826 18769844 35397652 37539688 70795304 256632977 380524759 469018889 513265954 628308323 761049518 938037778 1026531908 1256616646 1522099036 1876075556 2053063816 2513233292 3044198072 3752151112 5026466584 11035218011 13601547781 18220941367 20167812227 22070436022 27017257889 27203095562 33300341119 36441882734 40335624454 44140872044 54034515778 54406191124 66600682238 72883765468 80671248908 88281744088 108069031556 108812382248 133201364476 145767530936 161342497816 216138063112 266402728952 584866554583 783500478781 965709892451 1169733109166 1431914668117 1567000957562 1931419784902 2339466218332 2863829336234 3134001915124 3862839569804 4678932436664 5727658672468 6268003830248 7725679139608 11455317344936 41525525375393 83051050750786 166102101501572 332204203003144