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242141327267420 = 225710576916352437
BaseRepresentation
bin110111000011100111101011…
…110011000001011001011100
31011202100111002102120222012202
4313003213223303001121130
5223214220414240024140
62214554105020351032
7102001063551004130
oct6703475363013134
91152314072528182
10242141327267420
11701766186a3a69
12231a87406a5478
13a515aa1943c19
1443b19ba5993c0
151ced9b9284915
hexdc39ebcc165c

242141327267420 has 48 divisors (see below), whose sum is σ = 581144715399360. Its totient is φ = 83019093640704.

The previous prime is 242141327267419. The next prime is 242141327267479. The reversal of 242141327267420 is 24762723141242.

It is a super-3 number, since 3×2421413272674203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6631442 + ... + 22983878.

It is an arithmetic number, because the mean of its divisors is an integer number (12107181570820).

Almost surely, 2242141327267420 is an apocalyptic number.

242141327267420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242141327267420 is an abundant number, since it is smaller than the sum of its proper divisors (339003388131940).

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

242141327267420 is a wasteful number, since it uses less digits than its factorization.

242141327267420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16458222 (or 16458220 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 47.

The spelling of 242141327267420 in words is "two hundred forty-two trillion, one hundred forty-one billion, three hundred twenty-seven million, two hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 105769 211538 423076 528845 740383 1057690 1480766 2115380 2961532 3701915 7403830 14807660 16352437 32704874 65409748 81762185 114467059 163524370 228934118 327048740 457868236 572335295 1144670590 2289341180 1729580909053 3459161818106 6918323636212 8647904545265 12107066363371 17295809090530 24214132726742 34591618181060 48428265453484 60535331816855 121070663633710 242141327267420