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14415424264020 = 22351349137640149
BaseRepresentation
bin1101000111000101101000…
…1111100001011101010100
31220001002201200222010021010
43101301122033201131110
53342140242102422040
650354204322452220
73015323436341253
oct321613217413524
956032650863233
1014415424264020
11465860220791a
121749980504070
138074a3c96b20
1437b9d2d3479a
1519eea19b3e80
hexd1c5a3e1754

14415424264020 has 96 divisors (see below), whose sum is σ = 43556579337600. Its totient is φ = 3541185123840.

The previous prime is 14415424263997. The next prime is 14415424264039. The reversal of 14415424264020 is 2046242451441.

14415424264020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14415424264020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18437095 + ... + 19203054.

It is an arithmetic number, because the mean of its divisors is an integer number (453714368100).

Almost surely, 214415424264020 is an apocalyptic number.

14415424264020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14415424264020 is an abundant number, since it is smaller than the sum of its proper divisors (29141155073580).

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

14415424264020 is a wasteful number, since it uses less digits than its factorization.

14415424264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37640665 (or 37640663 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 14415424264020 in words is "fourteen trillion, four hundred fifteen billion, four hundred twenty-four million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 491 780 982 1473 1964 2455 2946 4910 5892 6383 7365 9820 12766 14730 19149 25532 29460 31915 38298 63830 76596 95745 127660 191490 382980 37640149 75280298 112920447 150560596 188200745 225840894 376401490 451681788 489321937 564602235 752802980 978643874 1129204470 1467965811 1957287748 2258408940 2446609685 2935931622 4893219370 5871863244 7339829055 9786438740 14679658110 18481313159 29359316220 36962626318 55443939477 73925252636 92406565795 110887878954 184813131590 221775757908 240257071067 277219697385 369626263180 480514142134 554439394770 720771213201 961028284268 1108878789540 1201285355335 1441542426402 2402570710670 2883084852804 3603856066005 4805141421340 7207712132010 14415424264020