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412342133314530 = 2351913119013290443
BaseRepresentation
bin101110111000001011110001…
…0011000011101001111100010
32000001222112010020112101120010
41131300113202120131033202
5413021303142112031110
64020551205545225350
7152565510313100136
oct13560274230351742
92001875106471503
10412342133314530
1110a4263535785a1
123a2b6802192256
1314910908aa2183
1473b7673db53c6
1532a0e7263d020
hex17705e261d3e2

412342133314530 has 128 divisors (see below), whose sum is σ = 1049717221217280. Its totient is φ = 103369655450880.

The previous prime is 412342133314459. The next prime is 412342133314541. The reversal of 412342133314530 is 35413331243214.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1419555489 + ... + 1419845931.

It is an arithmetic number, because the mean of its divisors is an integer number (8200915790760).

Almost surely, 2412342133314530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412342133314530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524858610608640).

412342133314530 is an abundant number, since it is smaller than the sum of its proper divisors (637375087902750).

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

412342133314530 is a wasteful number, since it uses less digits than its factorization.

412342133314530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309616.

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 412342133314530 its reverse (35413331243214), we get a palindrome (447755464557744).

The spelling of 412342133314530 in words is "four hundred twelve trillion, three hundred forty-two billion, one hundred thirty-three million, three hundred fourteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 131 190 262 285 393 570 655 786 1310 1965 2489 3930 4978 7467 12445 14934 19013 24890 37335 38026 57039 74670 95065 114078 190130 285195 290443 361247 570390 580886 722494 871329 1083741 1452215 1742658 1806235 2167482 2490703 2904430 3612470 4356645 4981406 5418705 5518417 7472109 8713290 10837410 11036834 12453515 14944218 16555251 24907030 27592085 33110502 37360545 38048033 47323357 55184170 74721090 76096066 82776255 94646714 114144099 141970071 165552510 190240165 228288198 236616785 283940142 380480330 473233570 570720495 709850355 722912627 1141440990 1419700710 1445825254 2168737881 3614563135 4337475762 5522192759 7229126270 10843689405 11044385518 16566578277 21687378810 27610963795 33133156554 55221927590 82832891385 104921662421 165665782770 209843324842 314764987263 524608312105 629529974526 723407251429 1049216624210 1446814502858 1573824936315 2170221754287 3147649872630 3617036257145 4340443508574 7234072514290 10851108771435 13744737777151 21702217542870 27489475554302 41234213331453 68723688885755 82468426662906 137447377771510 206171066657265 412342133314530