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214034304141 = 32753191335609
BaseRepresentation
bin1100011101010101110…
…0000100110010001101
3202110110102022012111200
43013111130010302031
512001320240213031
6242154225540113
721314653365420
oct3072534046215
9673412265450
10214034304141
118285386a669
12355937a4639
131724ca7c158
14a505d679b7
15587a5d18e6
hex31d5704c8d

214034304141 has 48 divisors (see below), whose sum is σ = 361878865920. Its totient is φ = 119369053440.

The previous prime is 214034304139. The next prime is 214034304223. The reversal of 214034304141 is 141403430412.

214034304141 is a `hidden beast` number, since 214 + 0 + 3 + 4 + 30 + 414 + 1 = 666.

It is not a de Polignac number, because 214034304141 - 21 = 214034304139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214034304041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469945 + ... + 805553.

It is an arithmetic number, because the mean of its divisors is an integer number (7539143040).

Almost surely, 2214034304141 is an apocalyptic number.

214034304141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214034304141 is a deficient number, since it is larger than the sum of its proper divisors (147844561779).

214034304141 is a wasteful number, since it uses less digits than its factorization.

214034304141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335866 (or 335863 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214034304141 its reverse (141403430412), we get a palindrome (355437734553).

The spelling of 214034304141 in words is "two hundred fourteen billion, thirty-four million, three hundred four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 53 63 159 191 371 477 573 1113 1337 1719 3339 4011 10123 12033 30369 70861 91107 212583 335609 637749 1006827 2349263 3020481 7047789 17787277 21143367 53361831 64101319 124510939 160085493 192303957 373532817 448709233 576911871 1120598451 1346127699 3397369907 4038383097 10192109721 23781589349 30576329163 71344768047 214034304141