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214043432140000 = 255423465311809
BaseRepresentation
bin110000101010101111011110…
…101111010011110011100000
31001001212100111210210022210201
4300222233132233103303200
5211023341422111440000
62035122110102034544
763041061533044141
oct6052573657236340
91031770453708721
10214043432140000
1162223345384611
122000b074418a54
139258294362248
143abda863d5ac8
1519b2b62e2996a
hexc2abdebd3ce0

214043432140000 has 120 divisors (see below), whose sum is σ = 549473687698320. Its totient is φ = 81894878208000.

The previous prime is 214043432139989. The next prime is 214043432140019. The reversal of 214043432140000 is 41234340412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232195905 + ... + 233115904.

It is an arithmetic number, because the mean of its divisors is an integer number (4578947397486).

Almost surely, 2214043432140000 is an apocalyptic number.

214043432140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214043432140000 is an abundant number, since it is smaller than the sum of its proper divisors (335430255558320).

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

214043432140000 is an equidigital number, since it uses as much as digits as its factorization.

214043432140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465311862 (or 465311839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 214043432140000 its reverse (41234340412), we get a palindrome (214084666480412).

The spelling of 214043432140000 in words is "two hundred fourteen trillion, forty-three billion, four hundred thirty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3680 4000 4600 5000 5750 9200 10000 11500 14375 18400 20000 23000 28750 46000 57500 92000 115000 230000 460000 465311809 930623618 1861247236 2326559045 3722494472 4653118090 7444988944 9306236180 10702171607 11632795225 14889977888 18612472360 21404343214 23265590450 37224944720 42808686428 46531180900 53510858035 58163976125 74449889440 85617372856 93062361800 107021716070 116327952250 171234745712 186124723600 214043432140 232655904500 267554290175 290819880625 342469491424 372249447200 428086864280 465311809000 535108580350 581639761250 856173728560 930623618000 1070217160700 1163279522500 1337771450875 1712347457120 1861247236000 2140434321400 2326559045000 2675542901750 4280868642800 4653118090000 5351085803500 6688857254375 8561737285600 9306236180000 10702171607000 13377714508750 21404343214000 26755429017500 42808686428000 53510858035000 107021716070000 214043432140000