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14324405434420 = 22529547142331729
BaseRepresentation
bin1101000001110010100100…
…0110001111100000110100
31212201101210102222111200011
43100130221012033200310
53334142340242400140
650244312505230004
73005622056141104
oct320345106174064
955641712874604
1014324405434420
114622a45481aa4
1217341ba492304
137cba2a073bc3
1437743a9c7204
1519c925e86cea
hexd072918f834

14324405434420 has 96 divisors (see below), whose sum is σ = 31198316889600. Its totient is φ = 5518015985664.

The previous prime is 14324405434369. The next prime is 14324405434441. The reversal of 14324405434420 is 2443450442341.

It is a congruent number.

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, 451445116 + ... + 451476844.

It is an arithmetic number, because the mean of its divisors is an integer number (324982467600).

Almost surely, 214324405434420 is an apocalyptic number.

14324405434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14324405434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599158444800).

14324405434420 is an abundant number, since it is smaller than the sum of its proper divisors (16873911455180).

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

14324405434420 is a wasteful number, since it uses less digits than its factorization.

14324405434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33737 (or 33735 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 14324405434420 its reverse (2443450442341), we get a palindrome (16767855876761).

The spelling of 14324405434420 in words is "fourteen trillion, three hundred twenty-four billion, four hundred five million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 547 580 1094 1423 2188 2735 2846 5470 5692 7115 10940 14230 15863 28460 31726 31729 41267 63452 63458 79315 82534 126916 158630 158645 165068 206335 317260 317290 412670 634580 778381 825340 920141 1556762 1840282 3113524 3680564 3891905 4600705 7783810 9201410 15567620 17355763 18402820 22573049 34711526 45146098 45150367 69423052 86778815 90292196 90300734 112865245 173557630 180601468 225730490 225751835 347115260 451460980 451503670 503317127 903007340 1006634254 1309360643 2013268508 2516585635 2618721286 5033171270 5237442572 6546803215 10066342540 13093606430 24697250749 26187212860 49394501498 98789002996 123486253745 246972507490 493945014980 716220271721 1432440543442 2864881086884 3581101358605 7162202717210 14324405434420