Search a number
-
+
412230014340 = 223571367726317
BaseRepresentation
bin1011111111110101101…
…00101101010110000100
31110102001000111110200220
411333322310231112010
523223221340424330
6513213103504340
741532305210334
oct5777264552604
91412030443626
10412230014340
1114990a107171
1267a86bb80b0
132cb47338811
1415d485770c4
15aaca451710
hex5ffad2d584

412230014340 has 96 divisors (see below), whose sum is σ = 1170863817984. Its totient is φ = 108346129920.

The previous prime is 412230014311. The next prime is 412230014351. The reversal of 412230014340 is 43410032214.

It is a self number, because there is not a number n which added to its sum of digits gives 412230014340.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15650862 + ... + 15677178.

It is an arithmetic number, because the mean of its divisors is an integer number (12196498104).

Almost surely, 2412230014340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412230014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585431908992).

412230014340 is an abundant number, since it is smaller than the sum of its proper divisors (758633803644).

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

412230014340 is a wasteful number, since it uses less digits than its factorization.

412230014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30077 (or 30075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 412230014340 its reverse (43410032214), we get a palindrome (455640046554).

The spelling of 412230014340 in words is "four hundred twelve billion, two hundred thirty million, fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 3677 4260 7354 11031 14708 18385 22062 26317 36770 44124 52634 55155 73540 78951 105268 110310 131585 157902 220620 261067 263170 315804 394755 522134 526340 783201 789510 1044268 1305335 1566402 1579020 1868507 2610670 3132804 3737014 3916005 5221340 5605521 7474028 7832010 9342535 11211042 15664020 18685070 22422084 28027605 37370140 56055210 96767609 112110420 193535218 290302827 387070436 483838045 580605654 967676090 1161211308 1451514135 1935352180 2903028270 5806056540 6870500239 13741000478 20611500717 27482000956 34352501195 41223001434 68705002390 82446002868 103057503585 137410004780 206115007170 412230014340