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214043432141142 = 23325431634995339
BaseRepresentation
bin110000101010101111011110…
…101111010100000101010110
31001001212100111210210101101000
4300222233132233110011112
5211023341422112004032
62035122110102044130
763041061533050362
oct6052573657240526
91031770453711330
10214043432141142
116222334538545a
122000b074419646
139258294362916
143abda863d62a2
1519b2b62e29e7c
hexc2abdebd4156

214043432141142 has 64 divisors (see below), whose sum is σ = 475873211520000. Its totient is φ = 71314643811744.

The previous prime is 214043432141089. The next prime is 214043432141183. The reversal of 214043432141142 is 241141234340412.

214043432141142 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 43 + 432 + 1 + 41 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214043432141097 and 214043432141106.

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, 2245029709 + ... + 2245125047.

It is an arithmetic number, because the mean of its divisors is an integer number (7435518930000).

Almost surely, 2214043432141142 is an apocalyptic number.

214043432141142 is an abundant number, since it is smaller than the sum of its proper divisors (261829779378858).

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

214043432141142 is a wasteful number, since it uses less digits than its factorization.

214043432141142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114242 (or 114236 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 214043432141142 its reverse (241141234340412), we get a palindrome (455184666481554).

The spelling of 214043432141142 in words is "two hundred fourteen trillion, forty-three billion, four hundred thirty-two million, one hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 2543 5086 7629 15258 16349 22887 32698 45774 49047 68661 95339 98094 137322 147141 190678 286017 294282 441423 572034 858051 882846 1716102 2574153 5148306 41575507 83151014 124726521 242447077 249453042 374179563 484894154 727341231 748359126 1122538689 1454682462 1558697311 2182023693 2245077378 3117394622 4364047386 4676091933 6546071079 9352183866 13092142158 14028275799 28056551598 42084827397 84169654794 3963767261873 7927534523746 11891301785619 23782603571238 35673905356857 71347810713714 107021716070571 214043432141142