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20344345040214 = 232131011934460147
BaseRepresentation
bin1001010000000110010010…
…11101011001010101010110
32200000220022101101222112200
410220003021131121111112
510131310204312241324
6111134021343225330
74166554556410626
oct450031135312526
980026271358480
1020344345040214
116533a964433a8
122346a53ba8246
13b476044240c0
14504958a5a886
1525430a70aec9
hex1280c9759556

20344345040214 has 96 divisors (see below), whose sum is σ = 48188545108704. Its totient is φ = 6165705830400.

The previous prime is 20344345040183. The next prime is 20344345040221. The reversal of 20344345040214 is 41204054344302.

20344345040214 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 434 + 5 + 0 + 4 + 0 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2331289 + ... + 6791435.

It is an arithmetic number, because the mean of its divisors is an integer number (501964011549).

Almost surely, 220344345040214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344345040214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24094272554352).

20344345040214 is an abundant number, since it is smaller than the sum of its proper divisors (27844200068490).

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

20344345040214 is a wasteful number, since it uses less digits than its factorization.

20344345040214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460462 (or 4460459 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 20344345040214 its reverse (41204054344302), we get a palindrome (61548399384516).

The spelling of 20344345040214 in words is "twenty trillion, three hundred forty-four billion, three hundred forty-five million, forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 193 202 234 303 386 579 606 909 1158 1313 1737 1818 2509 2626 3474 3939 5018 7527 7878 11817 15054 19493 22581 23634 38986 45162 58479 116958 175437 253409 350874 506818 760227 1520454 2280681 4460147 4561362 8920294 13380441 26760882 40141323 57981911 80282646 115963822 173945733 347891466 450474847 521837199 860808371 900949694 1043674398 1351424541 1721616742 2582425113 2702849082 4054273623 5164850226 5856173011 7747275339 8108547246 11190508823 11712346022 15494550678 17568519033 22381017646 33571526469 35137038066 52705557099 67143052938 86941645471 100714579407 105411114198 173883290942 201429158814 260824936413 521649872826 782474809239 1130241391123 1564949618478 2260482782246 3390724173369 6781448346738 10172172520107 20344345040214