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214126415161 = 616136179281
BaseRepresentation
bin1100011101101011101…
…1011100110100111001
3202110200211121221001221
43013122323130310321
512002012330241121
6242211320112041
721320152332601
oct3073273346471
9673624557057
10214126415161
11828a0862a7a
12355ba605621
1317265b8cc09
14a5142a3c01
155883728b41
hex31daedcd39

214126415161 has 16 divisors (see below), whose sum is σ = 218368554768. Its totient is φ = 209909145600.

The previous prime is 214126415149. The next prime is 214126415183. The reversal of 214126415161 is 161514621412.

It can be written as a sum of positive squares in 8 ways, for example, as 98961205561 + 115165209600 = 314581^2 + 339360^2 .

It is a cyclic number.

It is not a de Polignac number, because 214126415161 - 223 = 214118026553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214126415101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23066841 + ... + 23076121.

It is an arithmetic number, because the mean of its divisors is an integer number (13648034673).

Almost surely, 2214126415161 is an apocalyptic number.

It is an amenable number.

214126415161 is a deficient number, since it is larger than the sum of its proper divisors (4242139607).

214126415161 is an equidigital number, since it uses as much as digits as its factorization.

214126415161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572.

The product of its digits is 11520, while the sum is 34.

The spelling of 214126415161 in words is "two hundred fourteen billion, one hundred twenty-six million, four hundred fifteen thousand, one hundred sixty-one".

Divisors: 1 61 613 617 9281 37393 37637 378221 566141 5689253 5726377 23071481 347044433 349308997 3510269101 214126415161