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14014300012220 = 22541149677169427
BaseRepresentation
bin1100101111101111010101…
…0111111011111010111100
31211121202100122220211201202
43023323311113323322330
53314102241300342340
645450025221555032
72644333263426224
oct313736527737274
954552318824652
1014014300012220
114513482006502
1216a4094875a78
137a8709766341
1436641d71d084
15194826543c15
hexcbef55fbebc

14014300012220 has 96 divisors (see below), whose sum is σ = 30395179886400. Its totient is φ = 5424234383360.

The previous prime is 14014300012169. The next prime is 14014300012231. The reversal of 14014300012220 is 2221000341041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14014300012192 and 14014300012201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82631147 + ... + 82800573.

It is an arithmetic number, because the mean of its divisors is an integer number (316616457150).

Almost surely, 214014300012220 is an apocalyptic number.

14014300012220 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 14014300012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197589943200).

14014300012220 is an abundant number, since it is smaller than the sum of its proper divisors (16380879874180).

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

14014300012220 is a wasteful number, since it uses less digits than its factorization.

14014300012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170303 (or 170301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14014300012220 its reverse (2221000341041), we get a palindrome (16235300353261).

The spelling of 14014300012220 in words is "fourteen trillion, fourteen billion, three hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 298 410 596 677 745 820 1354 1490 2708 2980 3385 6109 6770 12218 13540 24436 27757 30545 55514 61090 100873 111028 122180 138785 169427 201746 277570 338854 403492 504365 555140 677708 847135 1008730 1694270 2017460 3388540 4135793 6946507 8271586 13893014 16543172 20678965 25244623 27786028 34732535 41357930 50489246 69465070 82715860 100978492 114702079 126223115 138930140 229404158 252446230 458808316 504892460 573510395 1035029543 1147020790 2070059086 2294041580 4140118172 4702785239 5175147715 9405570478 10350295430 17090609771 18811140956 20700590860 23513926195 34181219542 47027852390 68362439084 85453048855 94055704780 170906097710 341812195420 700715000611 1401430001222 2802860002444 3503575003055 7007150006110 14014300012220