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411324430011030 = 232579152337985251
BaseRepresentation
bin101110110000110001110111…
…0100010011100101010010110
31222221101020020202012222010200
41131201203232202130222112
5412403114413040323110
64014451500131401330
7152432131551536304
oct13541435642345226
91887336222188120
10411324430011030
1110a073790598768
123a17151b453246
131486895bbb8323
1473802cc6d5274
15328475bac86c0
hex17618ee89ca96

411324430011030 has 96 divisors (see below), whose sum is σ = 1083691890178560. Its totient is φ = 108226966536000.

The previous prime is 411324430010987. The next prime is 411324430011031. The reversal of 411324430011030 is 30110034423114.

411324430011030 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 244 + 300 + 110 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 411324430010985 and 411324430011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411324430011031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8164096 + ... + 29821155.

It is an arithmetic number, because the mean of its divisors is an integer number (11288457189360).

Almost surely, 2411324430011030 is an apocalyptic number.

411324430011030 is an abundant number, since it is smaller than the sum of its proper divisors (672367460167530).

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

411324430011030 is a wasteful number, since it uses less digits than its factorization.

411324430011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37986866 (or 37986863 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 411324430011030 its reverse (30110034423114), we get a palindrome (441434464434144).

The spelling of 411324430011030 in words is "four hundred eleven trillion, three hundred twenty-four billion, four hundred thirty million, eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 1523 2370 3046 3555 4569 7110 7615 9138 13707 15230 22845 27414 45690 68535 120317 137070 240634 360951 601585 721902 1082853 1203170 1804755 2165706 3609510 5414265 10828530 37985251 75970502 113955753 189926255 227911506 341867259 379852510 569778765 683734518 1139557530 1709336295 3000834829 3418672590 6001669658 9002504487 15004174145 18005008974 27007513461 30008348290 45012522435 54015026922 57851537273 90025044870 115703074546 135037567305 173554611819 270075134610 289257686365 347109223638 520663835457 578515372730 867773059095 1041327670914 1735546118190 2603319177285 4570271444567 5206638354570 9140542889134 13710814333701 22851357222835 27421628667402 41132443001103 45702714445670 68554071668505 82264886002206 137108143337010 205662215005515 411324430011030