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214286193501303 = 371117435712524077
BaseRepresentation
bin110000101110010001100100…
…011100011010010001110111
31001002201120010021010020101110
4300232101210130122101313
5211041331111014020203
62035425415052330103
763064444431422040
oct6056214434322167
91032646107106343
10214286193501303
116230729a890430
122004a124773933
139275141852b71
143acb7156cb8c7
1519b91204dbd03
hexc2e46471a477

214286193501303 has 64 divisors (see below), whose sum is σ = 377256489458688. Its totient is φ = 104745360107520.

The previous prime is 214286193501287. The next prime is 214286193501313. The reversal of 214286193501303 is 303105391682412.

It is not a de Polignac number, because 214286193501303 - 24 = 214286193501287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214286193501313) 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 63 ways as a sum of consecutive naturals, for example, 10847901 + ... + 23371977.

It is an arithmetic number, because the mean of its divisors is an integer number (5894632647792).

Almost surely, 2214286193501303 is an apocalyptic number.

214286193501303 is a deficient number, since it is larger than the sum of its proper divisors (162970295957385).

214286193501303 is a wasteful number, since it uses less digits than its factorization.

214286193501303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528472.

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 214286193501303 in words is "two hundred fourteen trillion, two hundred eighty-six billion, one hundred ninety-three million, five hundred one thousand, three hundred three".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1309 3927 4357 13071 30499 47927 74069 91497 143781 222207 335489 518483 814759 1006467 1555449 2444277 5703313 12524077 17109939 37572231 87668539 137764847 212909309 263005617 413294541 638727927 964353929 1490365163 2342002399 2893061787 4471095489 7026007197 16394016793 49182050379 54567403489 163702210467 381971824423 600241438379 927645859313 1145915473269 1800724315137 2782937577939 4201690068653 6493521015191 10204104452443 12605070205959 19480563045573 30612313357329 71428731167101 214286193501303