Search a number
-
+
411334244011230 = 235531217212572541
BaseRepresentation
bin101110110000110110011011…
…1011111111000110011011110
31222221102011120200222211111120
41131201230313133320303132
5412403300012431324410
64014500202031431410
7152432630010263631
oct13541546737706336
91887364520884446
10411334244011230
1110a077967312331
123a1733ba085566
13148698641b0a37
14738097dc7bc18
153284b33495570
hex1761b377f8cde

411334244011230 has 64 divisors (see below), whose sum is σ = 1006655128734528. Its totient is φ = 107531094794240.

The previous prime is 411334244011199. The next prime is 411334244011241. The reversal of 411334244011230 is 32110442433114.

It is a happy number.

It is a super-2 number, since 2×4113342440112302 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 411334244011191 and 411334244011200.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104351241 + ... + 108221300.

It is an arithmetic number, because the mean of its divisors is an integer number (15728986386477).

Almost surely, 2411334244011230 is an apocalyptic number.

411334244011230 is an abundant number, since it is smaller than the sum of its proper divisors (595320884723298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411334244011230 is a wasteful number, since it uses less digits than its factorization.

411334244011230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212573821.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 411334244011230 its reverse (32110442433114), we get a palindrome (443444686444344).

The spelling of 411334244011230 in words is "four hundred eleven trillion, three hundred thirty-four billion, two hundred forty-four million, eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1217 1590 2434 3651 6085 7302 12170 18255 36510 64501 129002 193503 322505 387006 645010 967515 1935030 212572541 425145082 637717623 1062862705 1275435246 2125725410 3188588115 6377176230 11266344673 22532689346 33799034019 56331723365 67598068038 112663446730 168995170095 258700782397 337990340190 517401564794 776102347191 1293503911985 1552204694382 2587007823970 3880511735955 7761023471910 13711141467041 27422282934082 41133424401123 68555707335205 82266848802246 137111414670410 205667122005615 411334244011230