Search a number
-
+
404310423512043 = 32235359677922631
BaseRepresentation
bin101101111101101111101101…
…1001011000010001111101011
31222000112200212120120010020200
41123323133123023002033223
5410443210221404341133
63551521351110123243
7151106315126152056
oct13373373313021753
91860480776503220
10404310423512043
1110790a0a67a3424
123941a09a950523
131447a403816999
1471baa2c1b3a9d
1531b2096910913
hex16fb7db2c23eb

404310423512043 has 96 divisors (see below), whose sum is σ = 632350420116480. Its totient is φ = 248301610402560.

The previous prime is 404310423512027. The next prime is 404310423512071. The reversal of 404310423512043 is 340215324013404.

404310423512043 is a `hidden beast` number, since 40 + 4 + 31 + 0 + 423 + 5 + 120 + 43 = 666.

It is not a de Polignac number, because 404310423512043 - 24 = 404310423512027 is a prime.

It is a super-2 number, since 2×4043104235120432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404310423511989 and 404310423512007.

It is not an unprimeable number, because it can be changed into a prime (404310423512143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437753338 + ... + 438675968.

It is an arithmetic number, because the mean of its divisors is an integer number (6586983542880).

Almost surely, 2404310423512043 is an apocalyptic number.

404310423512043 is a deficient number, since it is larger than the sum of its proper divisors (228039996604437).

404310423512043 is a wasteful number, since it uses less digits than its factorization.

404310423512043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923449 (or 923446 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 404310423512043 its reverse (340215324013404), we get a palindrome (744525747525447).

The spelling of 404310423512043 in words is "four hundred four trillion, three hundred ten billion, four hundred twenty-three million, five hundred twelve thousand, forty-three".

Divisors: 1 3 9 23 53 59 69 159 177 207 477 531 677 1219 1357 2031 3127 3657 4071 6093 9381 10971 12213 15571 28143 35881 39943 46713 71921 107643 119829 140139 215763 322929 359487 647289 825263 918689 922631 2116979 2475789 2756067 2767893 6350937 7427367 8268201 8303679 19052811 21220513 48690517 48899443 54435229 63661539 146071551 146698329 163305687 190984617 438214653 440094987 489917061 624621187 1124687189 1252010267 1873863561 2885067137 3374061567 3756030801 5621590683 8655201411 10122184701 11268092403 14366287301 25965604233 33104922911 36852650033 43098861903 66356544151 99314768733 110557950099 129296585709 199069632453 297944306199 331673850297 597208897359 761413226953 847610950759 1953190451749 2284239680859 2542832852277 5859571355247 6852719042577 7628498556831 17578714065741 44923380390227 134770141170681 404310423512043