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420204012234421 = 17417328297291853
BaseRepresentation
bin101111110001011000101111…
…0111000011110011010110101
32001002211010000002201221012211
41133202301132320132122311
5420034110304113000141
64045411020331213421
7154336511101231552
oct13742613670363265
92032733002657184
10420204012234421
11111987580234a48
123b1664295a7271
13150610b7166c5c
1475a9da87a3a29
15338a70d7c8d81
hex17e2c5ee1e6b5

420204012234421 has 32 divisors (see below), whose sum is σ = 462035034020448. Its totient is φ = 380539892367360.

The previous prime is 420204012234407. The next prime is 420204012234451. The reversal of 420204012234421 is 124432210402024.

It can be written as a sum of positive squares in 16 ways, for example, as 216826037300196 + 203377974934225 = 14725014^2 + 14261065^2 .

It is a cyclic number.

It is not a de Polignac number, because 420204012234421 - 217 = 420204012103349 is a prime.

It is a super-3 number, since 3×4202040122344213 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420204012234401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439633731 + ... + 1439925583.

It is an arithmetic number, because the mean of its divisors is an integer number (14438594813139).

Almost surely, 2420204012234421 is an apocalyptic number.

420204012234421 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

420204012234421 is a deficient number, since it is larger than the sum of its proper divisors (41831021786027).

420204012234421 is a wasteful number, since it uses less digits than its factorization.

420204012234421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320281.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 420204012234421 its reverse (124432210402024), we get a palindrome (544636222636445).

The spelling of 420204012234421 in words is "four hundred twenty trillion, two hundred four billion, twelve million, two hundred thirty-four thousand, four hundred twenty-one".

Divisors: 1 17 41 73 697 1241 2993 28297 50881 291853 481049 1160177 2065681 4961501 11965973 19723009 21305269 35116577 84692921 203421541 362189573 873516029 1439779657 8258564341 14849772493 140395593797 338601137981 602875196893 5756219345677 10248878347181 24717883072613 420204012234421