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214202644461 = 32132140830141
BaseRepresentation
bin1100011101111101111…
…0001111011111101101
3202110220011001210000100
43013133132033133231
512002141334110321
6242223042021313
721322066302501
oct3073736173755
9673804053010
10214202644461
118292a8991a3
1235620047839
13172788ccc00
14a520468301
15588a285326
hex31df78f7ed

214202644461 has 18 divisors (see below), whose sum is σ = 335034907818. Its totient is φ = 131817011040.

The previous prime is 214202644417. The next prime is 214202644477. The reversal of 214202644461 is 164446202412.

214202644461 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 2 + 644 + 4 + 6 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14527721961 + 199674922500 = 120531^2 + 446850^2 .

It is not a de Polignac number, because 214202644461 - 219 = 214202120173 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214202642461) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70413550 + ... + 70416591.

Almost surely, 2214202644461 is an apocalyptic number.

It is an amenable number.

214202644461 is a deficient number, since it is larger than the sum of its proper divisors (120832263357).

214202644461 is a wasteful number, since it uses less digits than its factorization.

214202644461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140830173 (or 140830157 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 214202644461 its reverse (164446202412), we get a palindrome (378648846873).

The spelling of 214202644461 in words is "two hundred fourteen billion, two hundred two million, six hundred forty-four thousand, four hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 140830141 422490423 1267471269 1830791833 5492375499 16477126497 23800293829 71400881487 214202644461