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412340330010440 = 235133372353003481
BaseRepresentation
bin101110111000001010111011…
…0111001011001011101001000
32000001222100110120022001101202
41131300111312321121131020
5413021240443440313230
64020550311010203332
7152565414525211616
oct13560256671313510
92001870416261352
10412340330010440
1110a425608667537
123a2b639a283548
13149106ac2c6230
1473b75426bc6b6
1532a0db9180a45
hex1770576e59748

412340330010440 has 64 divisors (see below), whose sum is σ = 1002097122914160. Its totient is φ = 151796960501760.

The previous prime is 412340330010439. The next prime is 412340330010457. The reversal of 412340330010440 is 44010033043214.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39789879958084 + 372550450052356 = 6307922^2 + 19301566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176326501 + ... + 1176676980.

Almost surely, 2412340330010440 is an apocalyptic number.

412340330010440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412340330010440 is an abundant number, since it is smaller than the sum of its proper divisors (589756792903720).

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

412340330010440 is a wasteful number, since it uses less digits than its factorization.

412340330010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353003842 (or 2353003838 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 412340330010440 its reverse (44010033043214), we get a palindrome (456350363053654).

The spelling of 412340330010440 in words is "four hundred twelve trillion, three hundred forty billion, three hundred thirty million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 337 520 674 1348 1685 2696 3370 4381 6740 8762 13480 17524 21905 35048 43810 87620 175240 2353003481 4706006962 9412013924 11765017405 18824027848 23530034810 30589045253 47060069620 61178090506 94120139240 122356181012 152945226265 244712362024 305890452530 611780905060 792962173097 1223561810120 1585924346194 3171848692388 3964810865485 6343697384776 7929621730970 10308508250261 15859243461940 20617016500522 31718486923880 41234033001044 51542541251305 82468066002088 103085082502610 206170165005220 412340330010440