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214015206438 = 232113792851939
BaseRepresentation
bin1100011101010001001…
…1001110010000100110
3202110102002100221101100
43013110103032100212
512001300343101223
6242152304340530
721314332145115
oct3072423162046
9673362327340
10214015206438
1182844006240
1235589314746
1317248b23637
14a5035d5c7c
155878aad043
hex31d44ce426

214015206438 has 48 divisors (see below), whose sum is σ = 507189009600. Its totient is φ = 64681953840.

The previous prime is 214015206437. The next prime is 214015206451. The reversal of 214015206438 is 834602510412.

It is a happy number.

214015206438 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 1 + 5 + 2 + 0 + 643 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214015206437) 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, 1350928 + ... + 1501011.

It is an arithmetic number, because the mean of its divisors is an integer number (10566437700).

Almost surely, 2214015206438 is an apocalyptic number.

214015206438 is an abundant number, since it is smaller than the sum of its proper divisors (293173803162).

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

214015206438 is a wasteful number, since it uses less digits than its factorization.

214015206438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852337 (or 2852334 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 214015206438 in words is "two hundred fourteen billion, fifteen million, two hundred six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 379 758 1137 2274 3411 4169 6822 8338 12507 25014 37521 75042 2851939 5703878 8555817 17111634 25667451 31371329 51334902 62742658 94113987 188227974 282341961 564683922 1080884881 2161769762 3242654643 6485309286 9727963929 11889733691 19455927858 23779467382 35669201073 71338402146 107007603219 214015206438