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214242334300032 = 273557922745573
BaseRepresentation
bin110000101101101000101110…
…001110110101011110000000
31001002120100220122021221222120
4300231220232032311132000
5211040121300040100112
62035353323013404240
763061332523362423
oct6055505616653600
91032510818257876
10214242334300032
116229a733476355
1220041724339680
139270c720a896c
143ac955477b9ba
1519b7e04ce2e8c
hexc2da2e3b5780

214242334300032 has 32 divisors (see below), whose sum is σ = 569081200485480. Its totient is φ = 71414111433216.

The previous prime is 214242334300019. The next prime is 214242334300079. The reversal of 214242334300032 is 230003433242412.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 214242334299966 and 214242334300002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278961372403 + ... + 278961373170.

Almost surely, 2214242334300032 is an apocalyptic number.

It is an amenable number.

214242334300032 is an abundant number, since it is smaller than the sum of its proper divisors (354838866185448).

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

214242334300032 is an equidigital number, since it uses as much as digits as its factorization.

214242334300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557922745590 (or 557922745578 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 214242334300032 its reverse (230003433242412), we get a palindrome (444245767542444).

The spelling of 214242334300032 in words is "two hundred fourteen trillion, two hundred forty-two billion, three hundred thirty-four million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 557922745573 1115845491146 1673768236719 2231690982292 3347536473438 4463381964584 6695072946876 8926763929168 13390145893752 17853527858336 26780291787504 35707055716672 53560583575008 71414111433344 107121167150016 214242334300032