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214540453524141 = 32373145213440101
BaseRepresentation
bin110000110001111110010111…
…100001011011001010101101
31001010121212102002012200020100
4300301332113201123022231
5211110012322100233031
62040142305043141313
763122015303103333
oct6061762741331255
91033555362180210
10214540453524141
11623a5105a57908
122008b463974839
139293102374c14
143ad9b55bbbb53
1519c0a522dede6
hexc31f9785b2ad

214540453524141 has 24 divisors (see below), whose sum is σ = 310725421027736. Its totient is φ = 142642212278400.

The previous prime is 214540453524127. The next prime is 214540453524149. The reversal of 214540453524141 is 141425354045412.

214540453524141 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 4 + 0 + 453 + 52 + 4 + 141 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25011651357225 + 189528802166916 = 5001165^2 + 13766946^2 .

It is not a de Polignac number, because 214540453524141 - 215 = 214540453491373 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214540453524149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487259991 + ... + 487700091.

Almost surely, 2214540453524141 is an apocalyptic number.

It is an amenable number.

214540453524141 is a deficient number, since it is larger than the sum of its proper divisors (96184967503595).

214540453524141 is a wasteful number, since it uses less digits than its factorization.

214540453524141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585693 (or 585690 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 214540453524141 in words is "two hundred fourteen trillion, five hundred forty billion, four hundred fifty-three million, five hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 373 1119 3357 145213 435639 440101 1306917 1320303 3960909 54164449 162493347 164157673 487480041 492473019 1477419057 63908386513 191725159539 575175478617 23837828169349 71513484508047 214540453524141