Search a number
-
+
214314306522533 = 72977379711811451
BaseRepresentation
bin110000101110101011110000…
…000111000100110110100101
31001002211020200111201200111222
4300232223300013010312211
5211042311144432210113
62035450344440110125
763066461206233050
oct6056536007046645
91032736614650458
10214314306522533
1162318206962378
122005366b765345
1392779a1cc3179
143accc2129ba97
1519b9c1862ae08
hexc2eaf01c4da5

214314306522533 has 64 divisors (see below), whose sum is σ = 254412934110720. Its totient is φ = 176640245376000.

The previous prime is 214314306522509. The next prime is 214314306522593. The reversal of 214314306522533 is 335225603413412.

It is not a de Polignac number, because 214314306522533 - 26 = 214314306522469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214314306522593) 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, 147701106458 + ... + 147701107908.

It is an arithmetic number, because the mean of its divisors is an integer number (3975202095480).

Almost surely, 2214314306522533 is an apocalyptic number.

It is an amenable number.

214314306522533 is a deficient number, since it is larger than the sum of its proper divisors (40098627588187).

214314306522533 is a wasteful number, since it uses less digits than its factorization.

214314306522533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238.

The product of its (nonzero) digits is 1555200, while the sum is 44.

Adding to 214314306522533 its reverse (335225603413412), we get a palindrome (549539909935945).

The spelling of 214314306522533 in words is "two hundred fourteen trillion, three hundred fourteen billion, three hundred six million, five hundred twenty-two thousand, five hundred thirty-three".

Divisors: 1 7 29 203 773 797 1181 1451 5411 5579 8267 10157 22417 23113 34249 42079 156919 161791 239743 294553 616081 912913 941257 1121623 1156447 1713631 4312567 6390391 6588799 7851361 8095129 11995417 17866349 26474477 27296453 32527067 33536963 49695299 125064443 185321339 191075171 227689469 234758741 347867093 727591661 893933531 1324636763 1365763907 5093141627 6257534717 9272457341 9560347349 21100158169 25924072399 38414466127 39607153303 147701107183 181468506793 268901262889 277250073121 1055735500111 7390148500777 30616329503219 214314306522533