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20414205023115 = 35173734938316187
BaseRepresentation
bin1001010010001000011010…
…11100000101001110001011
32200021120122001021211001210
410221010031130011032023
510133431242441214430
6111230053433144203
74204610013436311
oct451041534051613
980246561254053
1020414205023115
1165606855a1562
1223584abb5b063
13b510888566a7
145080a4c260b1
152560488b02b0
hex12910d70538b

20414205023115 has 128 divisors (see below), whose sum is σ = 35715752755200. Its totient is φ = 9915043258368.

The previous prime is 20414205023101. The next prime is 20414205023141. The reversal of 20414205023115 is 51132050241402.

It is a de Polignac number, because none of the positive numbers 2k-20414205023115 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 1261140052 + ... + 1261156238.

It is an arithmetic number, because the mean of its divisors is an integer number (279029318400).

Almost surely, 220414205023115 is an apocalyptic number.

20414205023115 is a deficient number, since it is larger than the sum of its proper divisors (15301547732085).

20414205023115 is a wasteful number, since it uses less digits than its factorization.

20414205023115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16981.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 20414205023115 its reverse (51132050241402), we get a palindrome (71546255264517).

The spelling of 20414205023115 in words is "twenty trillion, four hundred fourteen billion, two hundred five million, twenty-three thousand, one hundred fifteen".

Divisors: 1 3 5 15 17 37 51 85 111 185 255 349 383 555 629 1047 1149 1745 1887 1915 3145 5235 5745 5933 6511 9435 12913 14171 16187 17799 19533 29665 32555 38739 42513 48561 64565 70855 80935 88995 97665 133667 193695 212565 219521 240907 242805 275179 401001 598919 658563 668335 722721 825537 1097605 1204535 1375895 1796757 2005005 2272339 2994595 3292815 3613605 4127685 4945679 5649263 6199621 6817017 8983785 10181623 11361695 14837037 16947789 18598863 24728395 28246315 30544869 30998105 34085085 50908115 74185185 84076543 84738945 92994315 96037471 105393557 152724345 209022731 229385977 252229629 288112413 316180671 420382715 480187355 526967785 627068193 688157931 1045113655 1146929885 1261148145 1440562065 1580903355 2163667729 3135340965 3440789655 3553386427 3899561609 6491003187 10660159281 10818338645 11698684827 17766932135 19497808045 32455015935 36782351393 53300796405 58493424135 80055705973 110347054179 183911756965 240167117919 400278529865 551735270895 1200835589595 1360947001541 4082841004623 6804735007705 20414205023115