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214438515813 = 32231657625187
BaseRepresentation
bin1100011110110110001…
…0000001010001100101
3202111111120220021200100
43013231202001101211
512003132230001223
6242302305334313
721330662211204
oct3075542012145
9674446807610
10214438515813
1182a40a518a5
1235687037399
13172b5736762
14a54390723b
1558a0d28043
hex31ed881465

214438515813 has 24 divisors (see below), whose sum is σ = 323407251648. Its totient is φ = 136660658112.

The previous prime is 214438515803. The next prime is 214438515827. The reversal of 214438515813 is 318515834412.

214438515813 is a `hidden beast` number, since 2 + 14 + 4 + 3 + 8 + 51 + 581 + 3 = 666.

It is not a de Polignac number, because 214438515813 - 221 = 214436418661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214438515803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30406 + ... + 655592.

It is an arithmetic number, because the mean of its divisors is an integer number (13475302152).

Almost surely, 2214438515813 is an apocalyptic number.

214438515813 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214438515813 is a deficient number, since it is larger than the sum of its proper divisors (108968735835).

214438515813 is a wasteful number, since it uses less digits than its factorization.

214438515813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626873 (or 626870 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 214438515813 in words is "two hundred fourteen billion, four hundred thirty-eight million, five hundred fifteen thousand, eight hundred thirteen".

Divisors: 1 3 9 23 69 207 1657 4971 14913 38111 114333 342999 625187 1875561 5626683 14379301 43137903 129413709 1035934859 3107804577 9323413731 23826501757 71479505271 214438515813