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214241201433 = 3272191071971213
BaseRepresentation
bin1100011110000111000…
…1010100110100011001
3202110222211121200020100
43013201301110310121
512002231221421213
6242230540250013
721323045110500
oct3074161246431
9673884550210
10214241201433
118294a633666
1235630b40909
13172838ac99c
14a525623837
15588d84e773
hex31e1c54d19

214241201433 has 144 divisors (see below), whose sum is σ = 384729808320. Its totient is φ = 114218802432.

The previous prime is 214241201413. The next prime is 214241201459. The reversal of 214241201433 is 334102142412.

214241201433 is a `hidden beast` number, since 2 + 1 + 4 + 24 + 1 + 201 + 433 = 666.

It is not a de Polignac number, because 214241201433 - 25 = 214241201401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214241201397 and 214241201406.

It is not an unprimeable number, because it can be changed into a prime (214241201413) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176620335 + ... + 176621547.

It is an arithmetic number, because the mean of its divisors is an integer number (2671734780).

Almost surely, 2214241201433 is an apocalyptic number.

It is an amenable number.

214241201433 is a deficient number, since it is larger than the sum of its proper divisors (170488606887).

214241201433 is a wasteful number, since it uses less digits than its factorization.

214241201433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1546 counting only the distinct ones).

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

Adding to 214241201433 its reverse (334102142412), we get a palindrome (548343343845).

The spelling of 214241201433 in words is "two hundred fourteen billion, two hundred forty-one million, two hundred one thousand, four hundred thirty-three".

Divisors: 1 3 7 9 19 21 49 57 63 107 133 147 171 197 321 399 441 591 749 931 963 1197 1213 1379 1773 2033 2247 2793 3639 3743 4137 5243 6099 6741 8379 8491 9653 10917 11229 12411 14231 15729 18297 21079 23047 25473 26201 28959 33687 42693 47187 59437 63237 69141 76419 78603 86877 99617 128079 129791 147553 161329 178311 183407 189711 207423 235809 238961 298851 389373 400501 442659 483987 534933 550221 716883 896553 908537 1032871 1129303 1168119 1201503 1327977 1451961 1650663 1672727 2150649 2466029 2725611 2803507 3098613 3387909 3604509 4540259 5018181 6359759 7398087 8176833 8410521 9295839 10163727 11709089 13620777 15054543 17262203 19079277 19624549 22194261 25231563 25568827 31781813 35127267 40862331 51786609 57237831 58873647 76706481 95345439 105381801 120835421 155359827 176620941 178981789 222472691 230119443 286036317 362506263 485807713 536945367 667418073 1087518789 1252872523 1457423139 1610836101 2002254219 3400653991 3758617569 4372269417 10201961973 11275852707 23804577937 30605885919 71413733811 214241201433